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2 years ago

Fill in the blank to make the statement true.

Mathematics

2 answers:

Igoryamba2 years ago

6 0

Answer: x= 385/12

Step-by-step explanation:

You would first change the denominator to some number that is common. Then combine the like terms. Lastly, subtract the fraction from the equal and you get your x.

$\frac{13}{4} +\frac{1}{6} +x=\frac{71}{2} \\(\frac{39}{12})+(\frac{2}{12})+x=\frac{426}{12} \\\frac{41}{12}+x=\frac{426}{12} \\x=\frac{385}{12}$

professor190 [17]2 years ago

4 0

The answer to the equation is X=385/12

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11. Let f(x) = 2x² + 7x + 5

Lady_Fox [76]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

7 0

3 years ago

1. Find the distance between each pair of points. Round your answer to

zlopas [31]

Step-by-step explanation:

$\sqrt{(3 - ( - 4))^{2} + ( - 7 - 6)^{2} } \\ = \sqrt{(3 + 4)^{2} + {( - 13)}^{2} } \\ = \sqrt{ 49 + 169} \\ = \sqrt{218} \\ = 14.7648$

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3 years ago

Select the three equations that pass through the points (-4, -16) and (5,2).

dezoksy [38]

Answer:

The equation of the line is $y-2 = 2(x - 5)$ , that passes through points $(-4, -16)\ and\ (5,2)$

Step-by-step explanation:

Given points are $(-4, -16)\ and\ (5,2)$

We need to write the equation of the line that passes through these points

First, we will find slope of this line

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-(-16)}{5-(-4)}\\\\m=\frac{2+16}{5+4}\\\\m=\frac{18}{9}=2$

So, our slope is $2$ . Now, we will plug the point $(5,2)$ in the equation below.

$(y-y_1)=m(x-x_1)\\y-2=2(x-5)\\$

So, the equation of the line is $y-2 = 2(x - 5)$ .

5 0

3 years ago

Read 2 more answers

What is the value of x in the diagram below?

VARVARA [1.3K]

Answer:

option B is the right option.

Step-by-step explanation:

<h3>Using leg rule</h3>

$\frac{bc}{ab} = \frac{ab}{bd}$

Plug the values:

$\frac{20}{12} = \frac{12}{x}$

Apply cross product property

$20 \times x = 12 \times 12$

Calculate the product

$20x = 144$

divide both sides of the equation by 20

$\frac{20x}{20} = \frac{144}{20}$

Calculate:

$x = 7.2$

hope this helps..

Good luck...

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME FAST I NEED TO FINISH THIS!! ( It's about linear equation from a slope and y- intercept)

alex41 [277]

Y=Mx+b OR y= slopex+ y intercept

y=9x-8

6 0

3 years ago