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3 years ago

Simplify the algebraic expression by combining like (or similar) terms. -7x - 8y- 5x - 6y

Mathematics

2 answers:

stira [4]3 years ago

7 0

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

Norma-Jean [14]3 years ago

5 0

-7x-8x-5x-6y
= -20x-6y
Is your answer
Plz make it a brainliest answer

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The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.

Ratling [72]

The equation to represent the area of the triangle would be:
y = 1/2(x²) - (7/2)x

The equation to represent the perimeter of the triangle would be:
y = 3x - 6

The solutions to the system would be (12, 30) or (1, -3). The only viable solution is (12, 30).

Explanation
The area of a triangle is found using the formula
A = 1/2bh

For our triangle, b = x and h = x-7, so we have:
A = 1/2(x)(x-7)
A = 1/2(x²-7x)
A = 1/2(x²) - (7/2)x

We will replace A with y, so we have:
y = 1/2(x²) - (7/2)x

The perimeter of a triangle is found by adding together all sides, so we have:
P = (x-7) + x + (x+1)

Combining like terms we get:
P = 3x - 6

We will replace P with y, so we have:
y = 3x - 6

Since both equations have y isolated on one side, it will be easy to use substitution to solve the system:

3x - 6 = 1/2(x²) - (7/2)x

It's easier to work with whole numbers, so we will multiply everything by 2:
6x - 12 = x² - 7x

We want all of the variables on one side, so we will subtract 6x:
6x - 12 - 6x = x² - 7x - 6x
-12 = x² - 13x

When solving quadratics, we want the equation equal to 0, so we will add 12:
-12+12 = x² - 13x + 12
0 = x² - 13x + 12

This is easy to factor, as there are factors of 12 that sum to -13; -12(-1) = 12 and -12+-1 = -13:
0 = (x-12)(x-1)

Using the zero product property, we know that either x-12=0 or x-1=0; therefore x=12 or x=1.

Putting these back into our equation for perimeter (the simplest one) we have:
y = 3(12)-6 = 36-6 = 30; (12, 30);
y = 3(1) - 6 = 3 - 6 = -3; (1, -3)

We cannot have a negative perimeter, so the only viable solution is (12, 30).

8 0

3 years ago

A model rocket is shot straight up from the ground. The height, h (in meters) after t seconds is approximated by: h(t) = 15 + 23

Anna35 [415]

Answer:

DUNNO

Step-by-step explanation:

7 0

3 years ago

Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9

Katena32 [7]

Given :-

y varies directly as x, and y=14 when x=4.

To Find :-

the value of y when x=9 .

Solution :-

According to Question ,

y = kx ( k is constant )

When y = 14 and x = 4 ,

14 = k(4)
k = 14/4
k = 7/2

When x = 9 ,

y = 7/2*9
y = 63/2
y = 31.5

8 0

2 years ago

19+7÷2 x 6+1=1 We’re to put brackets to make it =1

dimaraw [331]

It is 41
Please thanks

3 0

3 years ago

This Question: 1 pt

Burka [1]

Answer:

1. 75

Step-by-step explanation:

take boths numbers add them up then divide but by 2

3 0

3 years ago