Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
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If f (x)=2x^2+5 square root x-2
The value of f(2) in the given algebraic expression is: 18
How to solve the Algebraic Expression?The algebraic expression we are given is expressed as:
f(x) = 2x² + 5√(x + 2)
Now, we want to find f(2) which means we want to find the range when the domain is x = 2. Therefore we solve it as:
f(2) = 2(2)² + 5√(2 + 2)
f(2) = (2 * 4) + 5√4
f(2) = 8 + 5√4
f(2) = 8 + (5 * 2)
f(2) = 8 + 10
f(2) = 18
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Complete Question is:
If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement f(2) = ______
Question 4 of 10
Find the difference. Enter your answer in the box below as a fraction, using
the slash mark (/) for the fraction bar.
8-7
14 14
There is a 2/17 difference between 16/17 and 14/17 as 17 is the shared denominator of both fractions.
what is fractions ?A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are expressed in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You can evaluate it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a full number or item.
Given,
To get the difference between 16/17 and 14/17, discover their common denominator first.
17 is the shared denominator of both fractions.
To solve, multiply the result by the numerator of the fractions, then divide the sum by the common denominator:
16 - 14/17 (16 - 14) = 2/17 is the solution.
Therefore, there is a 2/17 difference between 16/17 and 14/17.
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Which statement is true?
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.
C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.
D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.
Answer:
The correct answer is A I believe . . .
Answer:
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
Step-by-step explanation:
Rectangles are parallelograms since they have 2 pairs of parallel sides. All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.
The value of x in this system of equations is 1.
3x + y = 9
y = -4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (-4x + 10) = 9
-X + 10 = 9
X
What is the value of y?
Answer:
y = 6
Step-by-step explanation:
y = -4(1) + 10 = -4 + 10 = 6
determine the relationship between the measures of the given angles
∠PTV > ∠VPT. This is because the angle opposite to the larger side is greater.
What are angles and dihedral angles? What is equation modelling? In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is a 2 - D image as shown in the question.
It can be concluded that ∠PTV > ∠VPT. This is because the angle opposite to the larger side is greater.
Therefore, ∠PTV > ∠VPT. This is because the angle opposite to the larger side is greater.
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j < –0.65 The variable in the inequality is .
Answer:
NO SE PERO LOS AMO A TODOS CHIKISTRIKIS
Step-by-step explanation:
SORRY NO SPEAK ENGLISH
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Please help me with this
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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Please answer the following question
Answer:x is greater than or equal to 0
Step-by-step explanation:
What is the slope of the line that passes through the points (-4,4) and -6,6)?
Answer:
Knowing that the slope formula is y2-y1/x2-x1:
6-4 10
------ = ------- = -5
-6-(-4) -2
Step-by-step explanation:
Could you check my map question please I need help :P
PLEASE HELP ME WITH THIS
Gabriela is solving the following equation. Her steps are shown:
Gabriella is not sure she has solved the problem correctly. How can you convince Gabriella if she has solved the problem correctly / incorrectly? If she has solved the problem incorrectly, solve it and convince her of the solution
Answer:
Solution given:
5(9x-8)=4(x+2)
45x-40=4x+8
45x-4x=40+8
41x=48
x=\( \frac{48}{41} \)
Gabriella is not correct:
she has done in distribution
5(9x-8)=4(x+2)
45x-40=4x+8 not 45x-8=4x+2.
No, Gabriela is not solving correctly because her second step is wrong.
What is a fraction?In a fraction the upper part is known as numerator and the lower part is known as denominator.
How to solve the problem?The problem is as under
(9x-8)/4=(x+2)/5
The above problem is solved as
5(9x-8)=4(x+2)
45x-40=4x+2
41x=42
x=42/41
Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.
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3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6
(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)
Please provide the work and the answer! :)
x = 301/56
Algebraic expressionsAlgebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expression
Given the algebraic expression,
\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)
Step 1:
Simplify the expression by converting the mixed numbers into improper fractions:
25/8 ÷ ( x - 119/28) = 17/18 + 11/6
Step 2: Simplify the right side of the equation
25/8 ÷( x - 119/28) = 17/18 + 33/18
25/8 ÷( x - 119/28) = 50/18
Step 3: Multiply both sides of the equation by (x - 119/28)
25/8 = 50/18 × (x - 119/28)
Step 4: Multiply both sides of the equation by (18/50)
25/8 × (18/50) = (x - 119/28)
Step 5: Simplify the left side of the equation
9/8 = (x - 119/28)
Step 6: Add 119/28 to both sides of the equation
9/8 + 119/28 = x
Step 7: Calculate the value of x:
x = 9/8 + 119/28
= 63/56 + 238/56
= 301/56
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help me pls i need this right now
Answer:
Step-by-step explanation:
Area = (3√3 s2)/
A≈259.81
Answer:
259.8
Step-by-step explanation:
259.81 rounded to the nearest tenth is 259.8
Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
2000:$5 2015:$6.5 what is the percent change
Answer:
30%
Step-by-step explanation:
% of change = 100 x (6.5-5)/ | 5 |
5(2x-5) = 1/2(18x+40)
Answer:
x = 45
Step-by-step explanation:
5 (2x - 5) = 1/2 (18x + 40)
10x - 25 = 9x + 20
10x = 9x + 45
x = 45
please mark this answer as brainlist
6/7=?/12 I need the answer
Can you help please on this
Answer:
5
Step-by-step explanation:
helpppppp meeeee pleaseeeee
Answer:
B) -2 degrees
Step-by-step explanation:
If the temperature went down 10 degrees the equation you need to use is 8-10=x.
Once simplified/solved you will get -2
-2
In the morning it was 8 degrees celsius, and in the night it was 10 degrees lower. You are trying to find a number that's 10 degrees lower than 8. So you would do:
8-10
That would result in -2
The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, what is the width of the rug?
The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.
What is the step to calculate the area of the rectangle?Area of a rectangle formula: A = L * W. A
rectangle's length and width are multiplied to produce its area.
A is the area, L is the length, and W is the width or girth, where
A = L * W.
The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.
Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:
Rug width/floor width = rug length/floor length
x / 26 = rug's length / 32
We can cross-multiply and then solve for "x" to find the answer:
32x = 26 * Rug's length
x = (26 * Rug Length) / 32
\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)
Therefore x ( the width of the rug) is = 13 feet.
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Complete question:
The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?
15% OFF!
Gabe wants to buy a dog collar. The sale price is $3.91. What was the original price?
$
the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)
Which term describes a line segment that connects a veryex of a triangle to the midpoint of the opposite side?
A median is a line segment connecting a vertex of a triangle to the midpoint of the opposite side.
The term that describes a line segment connecting a vertex of a triangle to the midpoint of the opposite side is the "median." In triangle geometry, a median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side.
To understand the concept of a median, let's consider a triangle ABC. The midpoint of side BC is denoted as M, and vertex A is connected to M by a line segment. This line segment AM is referred to as the median from vertex A.
Medians have some interesting properties and play a significant role in triangle geometry. Here are a few key characteristics of medians:
1. Medians Divide the Triangle into Two Equal Areas:
Each median of a triangle divides the triangle into two regions with equal areas. The point where all three medians intersect is called the centroid, which is also the center of mass of the triangle.
2. Medians are Concurrent:
The three medians of a triangle are always concurrent, meaning they intersect at a single point called the centroid. This centroid divides each median in a 2:1 ratio, with the longer segment adjacent to the vertex.
3. Medians Divide the Triangle into Six Congruent Triangles:
The medians of a triangle divide the triangle into six smaller congruent triangles. Each of these triangles shares a common vertex with the original triangle.
4. Medians Determine the Centroid:
The centroid of a triangle is the point of intersection of the three medians. It is the balance point of the triangle, where the triangle would perfectly balance on a needle.
In summary, a median is a line segment connecting a vertex of a triangle to the midpoint of the opposite side. Medians have unique properties, including dividing the triangle into equal areas, being concurrent at the centroid, dividing the triangle into congruent triangles, and determining the balance point of the triangle.
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6m-4+3m+7 simplify term
Answer:
9m +3
Step-by-step explanation:
6m-4+3m+7
Combine like terms
6m+3m -4+7
9m +3
Answer:
−3⋅(5m+7)
Step-by-step explanation:
what does proportion mean in algebra when dealing with graphs
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
3/12 plus 3/4 in simplest terms
Answer:
the answer is 1
Step-by-step explanation:
3/12+3/4
1/4+3/4
1+3/4
4/4
1
PLS HELP!! Answer all!!
1. Here are some families and the number of days they spent camping last summer. Jones (2); Smith (6); Teynor (9); Glimler (11); Frannot (16)
a) Describe the relation in words.
b) Represent the relation: i) as an arrow diagram ii) as a table
a) The relation represents the number of days each family spent camping last summer.
b) i) Jones (2) → Smith (6) → Teynor (9) → Glimler (11) → Frannot (16)
ii) Family | Number of Days: Jones (2), Smith (6), Teynor (9), Glimler (11), Frannot (16)
We have,
a)
The relation represents the number of days each family spent camping last summer.
It shows the association between each family and the corresponding number of days they spent camping.
b)
i)
Arrow Diagram:
Jones (2) -> Smith (6)
| |
V V
Teynor (9) -> Glimler (11)
|
V
Frannot (16)
ii)
Table Representation:
Family Number of Days
Jones 2
Smith 6
Teynor 9
Glimler 11
Frannot 16
Thus,
a) The relation represents the number of days each family spent camping last summer.
b) i) Jones (2) → Smith (6) → Teynor (9) → Glimler (11) → Frannot (16)
ii) Family | Number of Days: Jones (2), Smith (6), Teynor (9), Glimler (11), Frannot (16)
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GIVE 100 POINTS + BRAINLY
15. The following expression has been simplified as follows:
(12a^-3b^4)^-2
=1/144a^-5b^2
=b^2/144a^5
What did the student do wrong?
a. Why do you think the student made this error?
b. Solve the problem correctly. Make sure to show all work!
Answer:
\(\dfrac{a^6}{144b^8}\)
Step-by-step explanation:
a) They did not use the exponent rule: \((a \cdot b)^n=a^nb^n\) correctly.
They added the exponents rather than multiplied them.
b) Correct solution:
\((12a^{-3}b^4)^{-2}\)
Apply exponent rule: \(a^{-b}=\dfrac{1}{a^b}\)
\(\implies \dfrac{1}{(12a^{-3}b^4)^2}\)
Apply exponent rule: \((a \cdot b)^n=a^nb^n\)
\(\implies \dfrac{1}{12^2a^{(-3\times2)}b^{(4 \times2)}}\)
\(\implies \dfrac{1}{144a^{-6}b^8}\)
Apply exponent rule: \(\dfrac{1}{a^{-b}}=a^b\)
\(\implies \dfrac{a^6}{144b^8}\)
500 ft in 120 seconds the restaurant is 300 ft up how long will it take u by elevator
Answer:
72 seconds
Step-by-step explanation:
0.24 feet in a second
0.24 ft. x 300 = 72
72 seconds