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3 years ago

Translate the algebraic expression

Mathematics

1 answer:

S_A_V [24]3 years ago

3 0

1. If the numbers are the same, 10n +n, or 11n
.. If the numbers are different, 10a +b

2. 5(a -b)

3. 5n = 15

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RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A

Anna [14]

Answer:

Option A. $10\ units^{2}$

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

we have

$A(-3,1),B(-2,-1),C(2,1),D(1,3)$

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AD

$A(-3,1),D(1,3)$

substitute in the formula

$AD=\sqrt{(3-1)^{2}+(1+3)^{2}}$

$AD=\sqrt{(2)^{2}+(4)^{2}}$

$AD=\sqrt{20}$

$AD=2\sqrt{5}\ units$

Find the distance AB

$A(-3,1),B(-2,-1)$

substitute in the formula

$AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}$

$AB=\sqrt{(-2)^{2}+(1)^{2}}$

$AB=\sqrt{5}$

$AB=\sqrt{5}\ units$

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$A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}$

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2 years ago

Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).

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Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

Given

y =3/4x -4

(-1, 7)

Convert to point slope form

y - y1 = m(x - x1)

m: represents what the slope is

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21/3 -4/3 = 17/3

y = -4/3x + 17/2

Answer

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

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Answer:

The amount of speed you go will determine the graph but it should go closer and closer but then farther away because you drive past the tower

Step-by-step explanation:

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3 years ago

Eugene wants to buy jeans at a store that is giving $10 off everything. The tag on the

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Answer: a= $24.99

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I hope this helps

Step-by-step explanation:

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2 years ago

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,

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Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h, in feet after t seconds is given by the function is given by :

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For maximum height, put $\dfrac{dh}{dt}=0$

i.e.

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Put t = 3.75 in equation (1). So,

$h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}$

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

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2 years ago