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2 years ago

Which steps can be done to both sides of the equation to determine the value of x ?

Mathematics

1 answer:

photoshop1234 [79]2 years ago

8 0

Answer:

C. Add 9.6, then divide by 3.2.

Step-by-step explanation:

$3.2x−9.6=38.4$

$3.2x=38.4+9.6$

$3.2x=48$

$x = 15$

<h3>Hope it is helpful...</h3>

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Lera25 [3.4K]

B is the midpoint

$\\ \sf\longmapsto AB=\dfrac{1}{2}AC$

$\\ \sf\longmapsto 7x-3=\dfrac{5}{2}$

$\\ \sf\longmapsto 5=2(7x-3)$

$\\ \sf\longmapsto 5=14x-6$

$\\ \sf\longmapsto 14x=6+5$

$\\ \sf\longmapsto 14x=11$

$\\ \sf\longmapsto x=\dfrac{11}{14}$

$\\ \sf\longmapsto x=7.8$

6 0

2 years ago

Read 2 more answers

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

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

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

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

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

8 0

1 year ago

After giving 16 coins to Melissa, Juan had twice as many coins as Melissa. If they had 144 coins altogether, how many coins did

dem82 [27]

Melissa tem 16 moedas

Juan tem o dobro, ou seja, 16 x 2 = 32

Na adição vai ser o mesmo resultado

16+16=32

Se eles juntos tivessem 144 moedas.

Calculando

144 ÷ 2 = ou seja dividido por duas pessoas sendo melissa e juan

R = juan tem 72 moedas.

Cada um vai ficar com 72 moedas

3 0

3 years ago

I forgot how to do this

adoni [48]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}$

Step-by-step explanation:

$\sf{ \frac{1}{2} \times 2}$

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

$\dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}$