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3 years ago

HELP ASAP!!simplify the following(-8z)^2

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

Answer:

64z^2

Step-by-step explanation:

Here's why, it's actually very simple we use exponent rule when raising something to a power. In this case we're raising the term to the second power. So we raise both -8, and z. As so: (-8)^2 x (z)^2

Which equals 64z^2.

Hope this helps!

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What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)

Finger [1]

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

$y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5$

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

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3 years ago

Brian pays £180 per week in rent. His landlord decides to decrease the rent by 5%. How much rent does he pay now

ira [324]

Answer:

171

Step-by-step explanation:

180 - (5% × 180)

180 - 5% × 180

(1 - 5%) × 180

(100% - 5%) × 180

95% × 180

95 ÷ 100 × 180

95 × 180 ÷ 100

17,100 ÷ 100 = 171.

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3 years ago

If quadrilateral ABCD is congruent to quadrilateral EFGH, then what corresponding side is congruent to side FG? A) Side AB

BartSMP [9]

Two congruent quadrilaterals have congruent corresponding sides and angles. This means that if quadrilateral ABCD is congruent to quadrilateral EFGH, then:

AB≅EF;
BC≅FG;
CD≅GH;
AD≅EH;
∠A≅∠E;
∠B≅∠F;
∠C≅∠G;
∠D≅∠H.

Answer: correct choice is B (FG is congruent to side BC)

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3 years ago

PLSS Someone plss help plss helppp plllsss Will mark brainliest!!!<br>

Umnica [9.8K]

4,3 hope it help the top is 4 and the bottom is 3

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2 years ago

Read 2 more answers

Dilate rectangle

NARA [144]

Answer:

The coordinates of the points of the rectangle A'B'C'D' are;

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = (2, -1)

Step-by-step explanation:

Placing the point P as the origin of the chart, we have;

The coordinates of the points are given as follows;

The coordinates of the point B = (-4, 2)

The coordinates of the point C = (4, 2)

The coordinates of the point A = (-4, -2)

The coordinates of the point D = (4, -2)

Given that the sides are parallel to the axis, we have;

The length of the segment AB = 2 - (-2) = 4

The length of the segment BC = 4 - (-4) = 8

The length of the segment CD = 2 - (-2) = 4

The length of the segment AD = 4 - (-4) = 8

Therefore, a dilation by 1/2 will give;

The length of the segment A'B' = AB/2 = 4/2 = 2

The length of the segment B'C' = BC/2 = 8/2 = 4

The length of the segment C'D' = CD/2 = 4/2 = 2

The length of the segment A'D' = AD/2 = 8/2 = 4

The coordinates of the point A' = The coordinates of the point A/2 = (-4, -2)/2 = (-2, -1)

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = The coordinates of the point B/2 = (-4, 2)/2 = (-2, 1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = The coordinates of the point C/2 = (4, 2)/2 = (2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = The coordinates of the point D/2 = (4, -2)/2 = (2, -1)

The coordinates of the point D' = (2, -1).

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3 years ago