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4 years ago

Devon decided to rewrite the quadratic equation so that it could be simplified into a square in order to find the zeros.

Mathematics

2 answers:

Scilla [17]4 years ago

6 0

Answer:

Option B

Step-by-step explanation:

Given: x² + 10x + 13

To make a complete square, we will use (b/2)² to add terms to complete the square where b is the coefficient of x

b = 10 , (b/2)² = 5² = 25

So, add 25 and subtract 25

x² + 10x + 13

= x² + 10x + 13 + 25 - 25

= (x² + 10x + 25) + 13 -25

= (x+5)² - 12

By comparing the options with the previous steps

So, the answer is <u>option B</u>

erik [133]4 years ago

4 0

Answer:

Step-by-step explanation:

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Find the ÷98 and place a point on the # line

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Answer:

Draw a number line starting with -100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, all the way to 0. Then put a point mark at where the -98 would be.

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3 years ago

Simplify the following

postnew [5]

Answer:

<h2>see the answers ⤵️</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about</h3>

$\sqrt{ \frac{x}{y} } < = > \frac{ \sqrt{x} }{ \sqrt{y} } \\ and \: \\ \sqrt{x} \times \sqrt{y} = \sqrt{xy}$
PEMDAS

let's solve:

$a) \sqrt{ \frac{9}{25} }$

$\frac{ \sqrt{9} }{ \sqrt{25} }$

$\frac{3}{5}$

$b) \frac{ \sqrt{12} }{ \sqrt{3} }$

$\frac{ \sqrt{12} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

$\frac{ \sqrt{12 \times 3} }{ (\sqrt{3} )^{2} }$

$\frac{ \sqrt{36} }{3}$

$\frac{6}{3}$

$2$

$c) \frac{ \sqrt{15} }{ \sqrt{3} }$

$\sqrt{5}$

6 0

3 years ago

PLEASE HELP; TIMED TEST

Sati [7]

Answer:

Would love to help, but can't see full question picture.

4 0

3 years ago

In order to slove the following system of equations by addition, which of the following could you do before adding the equations

Vladimir [108]

Answer:

B. use multipliers -3 and 2

Step-by-step explanation:

If you're solving the system by "addition," multiplying the equations by the chosen numbers needs to result in opposite coefficients for one of the variables.

<h3>Effect of answer choices</h3>

A. The system becomes ...

12x -6y = 21
12x -12y = 60

No variable has opposite coefficients.

B. The system becomes ...

-12x +6y = -21
6x -6y = 30

The y-variable has opposite coefficients. This is a good choice.

C. The system becomes ...

12x -6y = 21
6x -6y = 30

No variable has opposite coefficients.

D. The system becomes ...

4/3x -2/3y = 7/3
3x -3y = 15

No variable has opposite coefficients.

<em>Additional comment</em>

The simplest "no brainer" solution is to use the coefficients of one of the variables, negating one of them. Multiply each equation by the opposite equation's coefficient. Here, the y-coefficients are -2 and -3, and the multipliers of answer choice B are -3 and 2, consistent with this advice. (The sign of 2 was changed.)

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2 years ago

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The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cas

fredd [130]

Answer:

We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio

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3 years ago