Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5, 3).
A. y = 4x + 23
B. y = 4x-23
C. y=-4x+7
D. y - x +41

Answer:

a

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the corresponding sides and this can be determined by using the Pythagorean theorem and the formula of the area of the triangle.

Given :

The base of the right triangle whose legs are 15 inches and 12 inches is calculated by using the Pythagorean theorem:

\(\rm 15^2=12^2+B^2\)

B = 9 inches

The area of the right triangle whose legs are 15 inches and 12 inches is given by:

\(\rm A = \dfrac{1}{2}\times 9 \times 15\)

A = 67.5 \(\rm inch^2\)

The base of the right triangle whose legs are 5 inches and 4 inches is calculated by using the Pythagorean theorem:

\(\rm 5^2=4^2+B^2\)

B = 3 inches

The area of the right triangle whose legs are 5 inches and 4 inches is given by:

\(\rm A' = \dfrac{1}{2}\times 3 \times 5\)

A' = 7.5 \(\rm inch^2\)

Now, the ratio of the area is calculated as:

\(\rm \dfrac{A}{A'}=\dfrac{67.5}{7.5}=9\)

Therefore, the correct option is A) The ratio of the areas is the square of the ratio of the corresponding sides.

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Answer: C. 6t

Step-by-step explanation:

T is unknown, but because you are only asked for the equation to figure out the total,  you simply multiply the 6 chairs per t, or table together, 6t

Answer:

your answer will be A.85°

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:

w = -1

Step-by-step explanation:

3(w + 14) = -2(1.5 - 6)

3w + 12   = -3 - (-12)

3w + 12 = 9

      -12   -12

3w = -3

÷3    ÷3

w = -1

Answer:

-a^2 + ab

Step-by-step explanation:

(a^2 - 2ab +b^2) + (2a^2 + 2ab + b2) = 3a^2 + 2b^2

(a^2 - b^2) + (a^2 + ab + 3b^2) = 2a^2 + 2b^2 + ab

subtract the first part from the second part:

(2a^2 + 2b^2 + ab) - (3a^2 + 2b^2) =    -a^2 + ab

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

The segment lengths are given as follows:

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:

BD² = 7 x 7

BD² = 7²

BD = 7.

The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:

(BC)² = 7² + 7²

\(BC = \sqrt{2 \times 49}\)

\(BC = 7\sqrt{2}\)

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Answer:

x1=8

x2=1/5

Step-by-step explanation:

Answer:

a) 5+(-1)

b) 5-1

c) 4 is the value

Answer:

\(6\sqrt{3}\)

Step-by-step explanation:

because of the 90-60-30 theorem

which \(6*\sqrt{3}=6\sqrt{3}\)

The coordinate are (0.8,0)

Answer:

Step-by-step explanation:

Answer:

6.28

Step-by-step explanation:

it's easy. hope i helped u.

Answer:

0.5709 0r 5709/10000

Step-by-step explanation:

Answer:

Step-by-step explanation: welp

Answer:welp

Step-by-step explanation:

The Linear Inequality formed using the statement is x ≥ 11y.

What is Linear Inequality?

A linear inequality is an equation that contains one or more variables and is written in the form of a linear equation. Linear inequalities can be used to describe a variety of relationships between two or more variables. They are used to find the range of values within which a variable can take on. Linear inequalities are used in many branches of mathematics and economics as they can be used to describe and analyze many different types of problems. In addition, linear inequalities can be used to model real-world situations and make predictions.

The inequality formed from the given statement is

x/y - 4 + 3 ≥ 10

x/y ≥ 11

x ≥ 11y

The graph is attached below, please refer to it

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90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.

Answer:

3

Step-by-step explanation:

by using formula

t²-t¹

which means

-3-(-6)

=3

Answer:

3

Step-by-step explanation:

-6+3 = -3

-3+3 =0

0+3 =3

3+3 =6

Answer:

work is shown and pictured

In interval notation, we can write this as:

(-∞, -1) ∪ (19, ∞)

An inequality is a comparison between two numbers or expressions that are not equal to one another. Indicating which value is less or greater than the other, or simply different, are symbols like, >,,, or.

We are given the compound inequality:

x - 9 < -10 or x - 9 > 10

We can simplify each inequality separately:

x - 9 < -10 --> x < -1 (by adding 9 to both sides)

x - 9 > 10 --> x > 19 (by adding 9 to both sides)

So the solution to the compound inequality is:

x < -1 or x > 19

In interval notation, we can write this as:

(-∞, -1) ∪ (19, ∞)

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Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

Answer:

\(\displaystyle A=\frac{S+6}{D}\)

Step-by-step explanation:

Equation Solving

To solve an equation means to isolate the required variable on the left or right side of the equal sign. Numbers and known variables should be shifted from one side of an equation to the other.

The given equation

\(S = AD-6\)

Needs to be solved for A, meaning that we can consider S and D as known. Let's start by shifting both sides:

\(AD-6=S\)

Adding 6 to both sides:

\(AD = S+6\)

Dividing by D:

\(\boxed{\displaystyle A=\frac{S+6}{D}}\)

Answer:

x = 18 y = 10

Step-by-step explanation:

let the first number be x

let the second number be y

x = y + 8..... equation 1

2x + y = 46.... equation 2

x is the larger number

y is the smaller number.

Rearrange the equation and add equation 1 to equation 2.

x - y = 8

+ 2x + y = 46

-------------------

3x + 0 = 54

3x = 54

divide both sides by 3

x = 54/3

x = 18

Substitute x = 18 into equation 1

x = y + 8

18 = y + 8

collect like terms

y = 18-8

y = 10

The two numbers are 18 and 10

From the question, One number is 8 more than another

Let the first number be x and the second number be y

∴ x = y + 8 ------ (1)

From the second statement, the sum of the smaller number and twice the larger number is 46

That is,

y + 2x = 46 ----- (2)

Now, we will solve the two equations simultaneously

From equation (1)

We have x = y + 8

Substitute this into equation (2)

y + 2x = 46

y + 2(y+8) = 46

Then, clear the bracket

y + 2y + 16 = 46

3y + 16 = 46

Collect like terms

3y = 46 - 16

3y = 30

∴ y = 30 ÷ 3

y = 10

Substitute the value of y into equation (1)

x = y + 8

x = 10 + 8

x = 18

∴ x = 18 and y = 10

Hence, the two numbers are 18 and 10

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Answer:

The distance between A and D to the nearest tenth is;

Explanation:

Given the two points;

Applying the distance between two points formula;

substituting the given coordinates we have;

Simplifying;

Therefore, the distance between A and D to the nearest tenth is;

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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Step-by-step explanation:

(3h - 5)(5h + 4) =   3h * 5h    +   3h * 4     - 5*5h    - 5 *4

                              =    15h^2        - 13h    -20

\((3h-5)(5h+4)\)

\(=(3h+-5)(5h+4)\)

\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)

\(=15h^2+12h-25h-20\)

Answer: