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Sedbober [7]
3 years ago
7

Simplify 20 + 5^2 × 2

Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

Step-by-step explanation:

Bonjour,

20+ 5*5 *2=

20 +25*2 =

20+50 = 70

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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}

4 0
3 years ago
Write a third degree polynomial function that has real zeros -1, -2 and 4
ra1l [238]

Answer:

f(x) = x^{3}  - x^{2}  -  10x  -8

Step-by-step explanation:

All you have to do is multiply (x + 1)(x + 2)(x - 4)

You should get x^{3}  - x^{2}  -  10x  -8

So,  f(x) = x^{3}  - x^{2}  -  10x  -8

8 0
3 years ago
Could any of y'all help me?
Scorpion4ik [409]
Start using calculator
5 0
3 years ago
What is the solution to the inequality below x2&gt;25​
4vir4ik [10]

Answer:

Ans: (-5, 5)

-5 < x < 5

Step-by-step explanation:

Standard form: f(x) = x^2 - 25 < 0.

First solve x^2 - 25 = 0 --> x = +- 5

Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.

Answer by open interval: (-5, 5)

3 0
3 years ago
Read 2 more answers
Use the formula P = 2 l + 2 w to find the length l of a rectangular lot if the width w is 40 feet and the perimeter P is 200 fee
jeyben [28]

Answer:

l = 60 feet

Step-by-step explanation:

use the equation and plug in the width(40 feet) for w and perimeter(200 feet) for p.

200 = 2l + 2(40)

then solve for l

200 = 2l + 80

120 = 2l

l = 60 feet

5 0
3 years ago
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