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3 years ago

Helpppnmejhhhhhhhhhhhg pls

Mathematics

2 answers:

Julli [10]3 years ago

7 0

Answer: 32

Step-by-step explanation: you do 7 divide by 1 and (3/4). then mulltiply it by 8

Elenna [48]3 years ago

5 0

32 miles because you do 7/1.75=4 then 4x8=32

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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

3 years ago

Please help is and example of ?

Helen [10]

I believe that it is B. Hope this helps!

5 0

3 years ago

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Y=3x^2+2x-8 in factored form

Phantasy [73]

Y=(3x-4)(x+2)

x=-2,4/3

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3 years ago

Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?

ollegr [7]

This mathematician is named Pythagoras. He was the mathematician who discovered in what relation are the sides, angles, and length of the sides of a triangle. Today this idea is still being used in mathematics and represents one of the foundations in geometry that we use all around.

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Given the g(x)=f(x) + k, identify a value of k that transforms f into g

Yuliya22 [10]

Answer:

a vertical shift of 6 units up

Step-by-step explanation:

We have the transformation:

g(x) = f(x) + k

This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.

Here we can see that the graph of f(x) intersects the y-axis at y = -2

While the graph of g(x) intersects the y-axis at y = 4.

Then the distance between these two points is:

4 - (-2) = 6

This means that the graph of g(x) is 6 units above the graph of f(x)

Then we have that k must be equal to 6, then the transformation is:

g(x) = f(x) + 6

This is a vertical shift of 6 units up.

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3 years ago