All categories

3 years ago

10) Solve the equation for the variable "a": 2(x + a) = 4b

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

Answer:

a= 2b-x

Step-by-step explanation:

You have to isolate the variable by dividing each side of the factors that does not contain the variable "a".

You might be interested in

A = √7 + √c and b = √63 + √d where c and d are positive integers.

mrs_skeptik [129]

Answer:

$\displaystyle a:b=\frac{1}{3}$

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

$a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]$

$b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]$

$\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]$

From [3]:

$9c=d$

Replacing into [2]:

$b=\sqrt{63}+\sqrt{9c}$

We can express 63=9*7:

$b=\sqrt{9*7}+\sqrt{9c}$

Taking the square root of 9:

$b=3\sqrt{7}+3\sqrt{c}$

Factoring:

$b=3(\sqrt{7}+\sqrt{c})$

Find the ration a:b:

$\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}$

Simplifying:

$\boxed{a:b=\frac{1}{3}}$

3 0

3 years ago

During batting practice 12 balls were pitched to each player if 9 player came to practice how many balls were pitched

svetoff [14.1K]

Hello,

If 12 balls were pitched to each of the 9 players at practice, then
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 balls were pitched total.

This is also equal to (12)(9) = 108 balls.

108 balls were pitched during practice.

Hope this helps!

5 0

3 years ago

Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

Given m∠1 = x degrees and m∠2 = (x + 50).<br> Find the value of x. Then find m∠1 and m∠2.

Rainbow [258]

X= 65°
Angle 1= 65°
Angle 2= 115°

3 0

3 years ago

Read 2 more answers

Can someone help me solve this step by step?

patriot [66]

Answer:

41 and 77

Step-by-step explanation:

x: his age the first time he went to space

y: his age the second time he went to space

the second time he went to space he was 5 years younger than twice the age when he went his first time, then:

y = 2x - 5

the sum of both ages is 118, then:

x + y = 118

If you replace y = 2x - 5 in x + y =118:

x + 2x - 5 = 118

3x = 123

x = 41

replacing x:

41 + y = 118

y = 118 - 41

y = 77

so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)

4 0

3 years ago