3x + 13 = 3(x + 6) + 1

Solve the system of equations given below.

eduard

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

$y = - 5x + 5 \\ - 2y = - x - 21$

Replace all occurrences of yy with -5x+5 in each equation.

$10x - 10 = - x - 21 \\ y = - 5x + 5$

Solve for x in the first equation.

$x = - 1 \\ y = - 5x + 5$

Replace all occurrences of x with -1 in each equation.

$y = 10 \\ x = - 1$

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10). 

Option A.

5 0

3 years ago

David has a rectangle and a right triangle.

emmasim [6.3K]

Answer:

2w^2+10w

Step-by-step explanation:

Let's start with the rectangle.

The length of the rectangle is:

L = 5 + w

The width of the rectangle is:

W

So, the equation of the area for the rectangle would be:

(w)(5+w) due to the area of a rectangle being length x width

Now, onto the triangle.

The length of the shorter side is equal to the width of the rectangle:

L(1) = w

The length of the longer side of the triangle is twice the length of the rectangle, so going back to what we have the rectangles length being:

L(2) = (2)(5+w) or 10 + 2w

Now to find the area of the triangle, use the equation 1/2(b)(height)

So plug it in:

1/2(w)(10 + 2w)

Which equals 1/2(10w + 2w^2)

Now, we times it by 1/2, so we will put it into a fraction:

1 x (10w + 2w^2)/2

10w + 2w^2/2

Now factor it:

2w(5 + w)/2

2 cancels out 2, so we are left with

w(w+5) = w^2 + 5w

So, the equation says what is the combined area of the rectangle and triangle

Rectangle area: w(w+5) = w^2 + 5w

Triangle area: w^2 + 5w

So, the combined area is 2w^2 + 10w

hope that helps!! I understand this question is hard, so I tried to explain as best as I can :)

for me, this is an EOC question, so to all those taking the test good luck! study hard!!

3 0

3 years ago

Is g(x) = x(x - 4)[x-i(Square root of 7)][x+i(Square root of 7)] the factored form of f(x) = x^4+4x^3+7x^2+28x

erastova [34]

Answer:

No.

It's x^4 - 4x^3 + 7x^2 - 28x.

Step-by-step explanation:

(x - √7 i)(x +√7i)

= x^2 + √7x i - √7x i - 7 i^2

= x^2 - 7 * -1

= x^2 + 7

g(x) = x(x - 4)(x^2 + 7)

= x(x^3 + 7x - 4x^2 - 28)

= x^4 - 4x^3 + 7x^2 - 28x.

6 0

3 years ago

Pls help I will mark brainliest.

Vikentia [17]

Step-by-step explanation:

If angle 1 is 121 degrees, then angle 7 is 59 degrees. (same side exterior angles)

If angle 8 is 103 degrees, then angle 4 equals 103 degrees (corresponding angles) and angle 3 is 77 degrees. (to angle 4 supplementary angles)

If angle 5 is 116 degrees, then angle 3 is 64 degrees. (same side interior angles)

3 0

4 years ago

people with severe hearing loss given a sentence and word recognition test six months after they got implants in their ears the

kirza4 [7]

That would be .82 as 82% is 82/100 so that makes the answer .82

8 0

3 years ago