Answer:
PTStep-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.
The line PQ and QS are radiuses since they are a point from the center to the arc.
The lines PR is considered a diameter since it starts from an arc, runs through the center and ends at another arc.
A cross-country course is in the shape of a parallelogram with a base of length 3 mi and a side of length 2 mi. What is the total length of the cross-country course.
Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.
What is the total length?The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.
As this course is shaped like a parallelogram, the total length would therefore be:
= Base + Base + Length + Length
Solving gives:
= 3 + 3 + 2 + 2
= 6 miles
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What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
Help?
Slope= 9, (-5,2)
Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 . A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the right of negative 1, and another point is 1 mark to the left of 0. Is he correct? Explain why or why not.
Answer:
Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.
Step-by-step explanation:
On a map, 1 inch equals 20 miles. Of two cities are 3 inches apart on the map, how far are they actually apart?
Answer:
60 miles
Step-by-step explanation:
Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.
3x20=60
Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Use the distributive property to write an expression equivalent to 7(48).
Drag and drop the appropriate number into each box.
Answer:
336
Step-by-step explanation:
7x48=
7(8)= 56
7(4)+5= 33
7(48) = 336
Answer:
336
Step-by-step explanation:
In this triangle what is the value of x
Answer:
Step-by-step explanation:
error
Answer:
x ≈ 75.2
Step-by-step explanation:
using the tangent ratio in the right triangle
tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )
40 × tan62° = x , then
x ≈ 75.2 ( to the nearest tenth )
A baker uses 24 cups of flour and 28 cups of water for a recipe. The flour-to-water ratio 24:28 How much water does the baker need if he uses only 6 cups of flour?
Answer: 7
Step-by-step explanation: So 24:28 is equal to 6:? so if we divide 24 by 6 we get 4. So 28 divided by 4 is 7. 6:7 is equal to 24:28.
Hope this helps!
?
58 62
28 27 13
13 15 12 11
6 7 8 4 7
4 2 5 3 1 6
Answer:
105
Step-by-step explanation:
First, adding two sequence numbers and that result become upper number
Tessellations
In the graph below, P represents the pre-image and P' represents the image. This graph illustrates a reflection over the _______?
a. z-axis
b. xy-axis
c. y-axis
d. x-axis
Please select the best answer from the choices provided
9514 1404 393
Answer:
d. x-axis
Step-by-step explanation:
Consider a point on curve P and its (nearest) image on curve P'. The midpoint between those points is on the line of reflection. That line is the x-axis.
_____
Additional comment
The curve is symmetrical about the y-axis, so each point on P also has an image point that is its reflection across the origin. The reflection of P could be across both the x- and y-axes, or (equivalently) across the origin. We don't know the meaning of "xy-axis", so we suspect that is a red herring. The best choice here is "x-axis."
Answer:
D. X-axis
Step-by-step explanation:
I calculated it logically
the x y coordinate plane is given. the curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
Now, According to the question:
Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.
What is the point of inflection?
The point of inflection or inflection point is a point in which the concavity of the function changes.
Therefore, From the attached graph, we can see that:
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
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The complete question is this:
The x y coordinate plane is given. The curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)
(d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)
(e) Find the coordinates of the point(s) of inflection.
(x, y) = ( )
I really need help on this question
Answer:
d. 38
Step-by-step explanation:
AB = AD - BD = 54 - 36 = 18
AC = AB + BC = 18 + 20 = 38
For a confidence level of 98% with a sample size of 32, find the critical t value.
The critical value for a confidence level of 98% with a sample size of 32 is given as follows:
t = 2.4528.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 32 - 1 = 31 df, is t = 2.4528.
(df is one less than the sample size).
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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Find the area of the parallelograms below. 21m 33m 21m
Answer:
a. 693²
b. 148.2 yd²
Step-by-step explanation:
The area of a parallelogram is the product of its base length and the height measured perpendicular to that base.
__
a.A = bh = (21 m)(33 m) = 693 m²
__
b.A = bh = (19 yd)(7.8 yd) = 148.2 yd²
I don't understand this, help me?
Answer:
Hello' I think you forgot to add a picture
Daniel bought 3 comic books at the bookstore. He spent $8.33 on the first book and $7.33 on the
second book. He spent a total of $24.69 on all three books.
How much did Diego spend on the
,
third book?
Answer:
The third book cost $9.03
Step-by-step explanation:
Answer:
the 3rd book is 9.03
Step-by-step explanation:
all you have to do is add 8.33 + 7.33 and thate 15.66 so 24.69 - 15.66 is 9.03
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
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Steve and Sally have $120. If it is partitioned in the ratio 4:1 and Steve receives the lesser amount. how much money will Sally get?
Expand and simplify (2x - 1)(x + 3)(x - 5)
Answer:
2x^3-5x^2-28x+15 -------------------------expanded
2x^3-5x^2-28x+15--------------------simplified
Step-by-step explanation:
\left(2x-1\right)\left(x+3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
simplyfied
\left(2x^2+5x-3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
=2x^3-5x^2-28x+15
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
can someone help me on number 4
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
Lee drank 1 2/3 quarts water Monday. He drank 2/5 water Tuesday. How amny quarts did he drink today?
Answer:
Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).
Step-by-step explanation:
To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.
Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):
For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...
For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...
15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.
Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:
For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3
2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15
For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5
5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15
Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.
Step-by-step explanation:
What is 5 divided by 1/8?
Answer: 50
Step-by-step explanation:
Its 40
Step-by-step explanation
what is the area? round answer
Answer:
Look at the picture below
Step-by-step explanation:
Howdy! My name is Christian and I’ll try and help you with this question!
Date: 9/29/20 Time: 8:51 am CST
Answer:
314 cm^2
Explanation:
The formula for the area of a circle is A=3.14r^2
So we have our diameter so to get our radius we just divide that by 2.
Equation:
3.14(10^2)
314
Hope this helps you with your question!
Sincerely,
Christian
Maria score 70% on a spelling test if there are 40 total words how many did he get right?
Answer:
28 words Maria got right
Step-by-step explanation:
70% of total words Maria got right
Therefore:
\(\frac{70}{100} *40= 28\)
Find the value of 10 (2 + 3) + 6
Answer:
56
Step-by-step explanation:
Firstly, you would have to distribute the 10 to both 2 and 3 within the parenthesis. From that you would end up with the equation 20 + 30 + 6. 20 + 30 = 50 and from there 50+ 6= 56. Therefore, the final answer for this problem would be 56.
Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=
Answer:
(0.2, 3.2)
Step-by-step explanation:
line A, in red, has equation y=x+3 times 3 3y=3x+9
line B, in blue, has equation 2x+ 3y = 10
-3x + 3y = 9 subtract thes two equations
(2x - -3x) + (3y -3y) = 10 - 9
5x + 0y = 1
5x = 1
x = 1/5 or 0.2
y = x + 3
y = 0.2 + 3
y = 3.2