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3 years ago

6

Someone please answer all of this and put how you find out each answer!! ill give brainly

1 answer:

Elden [556K]3 years ago

3 0

Answer:

triangle= Area is 27

The Rectangle area is 180.

Half circle area is 56.55

Add that for the total area.

Step-by-step explanation:

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Equation of a line with an slope of 1/2 that contains (-4, 7)

nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is $y=\frac{1}{2} x+9$

<em><u>Solution:</u></em>

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

<em><u>The formula for point slope form:</u></em>

$y-y_{1}=m\left(x-x_{1}\right)$

where "m" is the slope of line

Given that "m" = $\frac{1}{2}$ and $(x_1, y_1) = (-4, 7)$

$\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}$

Now, let us convert this equation to standard form

0.5x + 9 = y

0.5x - y = -9

Thus we have found out equation of line in point slope and standard form

3 0

4 years ago

Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2. Determine the new coordinat

o-na [289]

Given:

Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2.

To find:

The new coordinates of point S', and state whether the dilation is an enlargement or a reduction.

Solution:

If a figure is dilated by factor k with origin as center of dilation, then

$(x,y)\to (kx,ky)$

Where, 0<k<1 is reduction and k>1 is enlargement.

The figure is dilated by scale factor 2 which is greater than 1, so the dilation is an enlargement. The rule of dilation is:

$(x,y)\to (2x,2y)$

Using this rule, we get

$S(4,-2)\to S'(2(4),2(-2))$

$S(4,-2)\to S'(8,-4)$

Therefore, the new coordinates of point S' are (8,-4).

3 0

3 years ago

Determine the intercepts of the line

Dahasolnce [82]

Y-intercept (0,-6)
X-intercept(-8,0)

4 0

4 years ago

At the zoo, 129 female spiders laid a total of 337,851 eggs. If each female spider laid the same amount of eggs, how many did ea

victus00 [196]

Answer:

43,582,779

Step-by-step explanation:

129 x 337,851 = 43,582,779

8 0

3 years ago

Read 2 more answers

Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and

Andrews [41]

The answer would be m= -4/3

3 0

3 years ago