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3 years ago

What is the coefficient in the expression -10t - 0.05

Mathematics

1 answer:

galina1969 [7]3 years ago

4 0

Answer:

-10

Step-by-step explanation:

The coefficient is the number before the variable in an equation. In this case it's -10. Hope this helped!

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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

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

<em>Find the distance AD</em>

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

substitute in the formula

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

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

$AD=\sqrt{20}$

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

<em>Find the distance AB</em>

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

substitute in the formula

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

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

$AB=\sqrt{5}$

$AB=\sqrt{5}\ units$

Find the area

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

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3 years ago

A $32 item is marked as 20% off. What is the sale price?

Natasha_Volkova [10]

$25.60

20%=.2
since it's 20% OFF, you want to get rid of .2 of the 32.
so 1-.2=.8
and .8 x 32 = 25.60

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3 years ago

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kondor19780726 [428]

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Step-by-step explanation:

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3 years ago

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?

tatuchka [14]

Answer:

The best estimate for the average rate of change is $-2$

Step-by-step explanation:

we know that

the average rate of change using the graph is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$f(a)=f(0)=0$

$f(b)=f(4)=-8$

$a=0$

$b=4$

Substitute

$\frac{-8-0}{4-0}=-2$

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The vertex of the parabola is at the point (2,-5). which of the equations below could be the one for this parabola?

timofeeve [1]

Hello,
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3 years ago

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