All categories

2 years ago

THIS IS WORTH 50 POINTS WILL MARK BRAINLYEST PLEASE HELP

1 answer:

8 0

Since the first equation says y= x-4, substitution that for the y value in x + y = 6

x + x - 4 = 6

add up the x’s to get 2x - 4 = 6

add 4 to both sides to get 2x = 10

divide both sides by 2 to get x = 5

the x value is 5

then, to figure out the y value, substitute 5 for the x value in y = 5-4

the y value is 1

final answer: x = 5 and y = 1

hope this helped!!

You might be interested in

Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin

sesenic [268]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

$\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}$

so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x$

7 0

3 years ago

For questions 1 and 2, write the expression as a single logarithm.

Paul [167]

1. Using properties of logarithm
2 logbq + 8 logbt
= logb (q2) + logb (t8)
= logb ( q2t8)
2. Using the properties of logarithm
4 log x – 6 log (x + 2)
= log x4 – log (x + 2)^6
= log ( x4/ ( x + 2)^6)
So the answer is not in the choices

3 0

3 years ago

Read 2 more answers

when vanessa charges her 3ds fully it lasts for 2 hours. if she only charged it 2/8 full how long would it last?

Leto [7]

Answer:

1hour 40min

Step-by-step explanation:

2hour=3f

?=2/8

1hour 40min

4 0

3 years ago

Solve the equation 3x + 5y = 15 for y.

Naddika [18.5K]

Answer:

$y=\frac{-3}{5}x+3$

I don't see this in any of your choices.

Please be sure the problem and choices are as you want them to be seen by others. Thanks kindly.

I do hope my answer is helpful.

Step-by-step explanation:

$3x+5y=15$

We want to get the term that contains $y$ by itself.

This means we want to get $5y$ by itself first.

To do this I need to get rid of the plus $3x$ on that side.

I will do the inverse operation of that; I will subtract 3x on both sides.

$3x+5y=15$

-3x -3x

$5y=15-3x$

$5y=+15-3x$

$5y=-3x+15$ since addition is commutative.

Now we have the 5y term by itself. We want the factor y in 5y by itself.

To undo multiplication you must divide. We will divide both sides by 5:

$5y=-3x+15$

------------------------------

$\frac{5y}{5}=\frac{-3x+15}{5}$

$y=\frac{-3x}{5}+\frac{15}{5}$

$y=\frac{-3}{5}x+3$

7 0

3 years ago

An account earns annual simple interest. Interest earned: $84 principal:$600 interest rate:7% find the time ?

Helen [10]

Simple Interest , I = PRT/100

Where P = Principal, R = Rate, T = Time in years

Time, T = (100*I)/(P*R)

T = 100* 84 / (600 * 7) Use your calculator

T = 2

Time is 2 years.

3 0

4 years ago