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3 years ago

Solve the system by Substitution

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer:

(-1,0)

Step-by-step explanation:

I used a graphing calculator and that is the solution

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Question 4: * What are the solutions to the equation 4x2 – 52x + 169 = 121?

Rasek [7]

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

8 0

3 years ago

A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl

prohojiy [21]

Answer:

The base of the triangle = 9inches

Step-by-step explanation:

Explanation:-

The area of the triangle = $\frac{1}{2} bh$ square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now equating $\frac{1}{2} b h = 54$

$\frac{1}{2} b (12) = 54$

now simplification, we get

6 b = 54

Dividing '6' on both sides, we get

b = 9

The base of the triangle = 9 inches

Conclusion:-

The base of the triangle = 9 inches

6 0

3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

Read 2 more answers

what would be a real world problem situation that you can write either a percent as a decimal or write a decimal as a percent

love history [14]

When grading papers you can convert decimals into percents

7 0

3 years ago

Which expression is equivalent to ( 4 1/3)^3 ?

shutvik [7]

(13/3)^3 or (13/3)•(13/3)•(13/3)

5 0

2 years ago