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3 years ago

Select the correct answer. What is the solution of this system of equations? y = 3x + 5 y = -x + 3

Mathematics

1 answer:

mestny [16]3 years ago

7 0

Rewrite = so is on the left side.

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Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? Explain your reasoning.

Drupady [299]

Answer:

❌

Step-by-step explanation:

If (x-a) is a factor of a polynomial then the polynomial must equal zero .

Here's what I mean :

x - 2 = 0

x = 2

(2)³-2(2)²+2(2) + 3 = 0 ❌

8 - 8 +4 +3 = 0 ❌

7 = 0 ❌

Hope this helped and have a good day

6 0

2 years ago

If the four lines are extended, which system would have only one solution?

Anettt [7]

Answer:

A. Line a and line b

Step-by-step explanation:

6 0

3 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

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

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

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

X^2+ 6x - 4 = 3x + 6

jolli1 [7]

Answer:

x=2

x=-5

Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

5-2 = 3 and 5*-2 = -10

Factoring x^2+3x-10 gives us (x-2)(x+5)

x=2

x=-5

4 0

3 years ago

Read 2 more answers

I NEED HELP SO BAD PLEASE!!!!!!!!!!!

inysia [295]

Answer:

I think its 6 :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers