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Leni [432]
4 years ago
13

What is the answer to this in standard form y+4=2/3(x+7)

Mathematics
1 answer:
Mnenie [13.5K]4 years ago
3 0
Y=2/3x+2/3

I hope this helps!
You might be interested in
Which number line best shows how to solve -4- (-8)
timama [110]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Write the quadratic equation whose roots are -4 and -3, and whose leading coefficient is 1.
ludmilkaskok [199]

Answer:

x^{2} + 7x+12=0

Step-by-step explanation:

Roots of the equation are -4 and -3.

Quadratic equation can be written as

(x+4)(x+3)=0\\x(x+3)+4(x+3)\\x^{2} +3x+4x+12\\x^{2} + 7x+12=0

4 0
3 years ago
1. Determine whether the lines given by the equations 2x + 3y = and y=3/2x+4
son4ous [18]

Answer:

1. Yes, the lines are perpendicular.

2. y=\frac{5}{4}x+6

Step-by-step explanation:

The first equation of Exercise 1 is incomplete. Let's assume that it is:

2x + 3y =n

Where "n" is a number.

First, it is important to remember that the equation of a line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

By definition, the slopes of perpendicular lines are negative reciprocals.

1 . If you solve for "y" from the first equation, you get:

2x + 3y =n\\\\3y=-2x+n\\\\y=-\frac{2}{3}x+\frac{n}{3}

You can identify that the slope is:

m=-\frac{2}{3}

The second equation of the line is:

y=\frac{3}{2}x+4

And its slope is:

m=\frac{3}{2}

Since the slopes are negative reciprocals, the lines are perpendicular.

2. Given the first equation of the line:

y= -\frac{4}{5}x+6

You can identify that:

m=-\frac{4}{5}\\\\b=6

Since the first line and the second one are perpendicular, you know that the slope of the other line is:

m=\frac{5}{4}

According to the information given in the exercise, both lines have the same y-intercept; therefore, the equation of the second line is:

y=\frac{5}{4}x+6

4 0
3 years ago
A town has a population of 17000 and grows at 2.5% every year. To the nearest year, how long will it be until the population wil
andre [41]

Answer:

6 years

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

y=a(1+r)^x

where

y ----> is the population

x ---> is the number of years since now

a ---> is the initial value or y-intercept

r ---> is the rate of change

we have

a=17,000\ people

r=2.5\%=2.5/100=0.025

substitute

y=17,000(1+0.025)^x

y=17,000(1.025)^x

For y=19,600

substitute in the exponential equation and solve for x

19.600=17,000(1.025)^x

(19.600/17,000)=(1.025)^x

apply log booth sides

log(19.600/17,000)=log(1.025)^x

log(19.600/17,000)=xlog(1.025)

x=log(19.600/17,000)/log(1.025)=6\ years

8 0
3 years ago
Pls help me, my brain is not working today :(
Troyanec [42]

(A) <em>The rate that the point 8,28 represents is;</em> 3.5 cm/s since 28/8 = 3.5

(B) <em>The unit rate is 3.5 cm/s since the rate is constant.</em>

(C) <em>The points lie on the same line and both points results to a rate of 3.5 cm/s.</em>

7 0
3 years ago
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