All categories

3 years ago

Write an equation in point-slope format of the line having the given slope that contains the given point.

Mathematics

1 answer:

marta [7]3 years ago

3 0

1) y + 1 = (1/4)(x - 3)
2) y - 6 = 0(x + 2)
3) y - 3 = -1(x + 2)
4) y + 7 = -2(x + 6)

You might be interested in

1. Sarah purchased her first car and her goal is to pay it off as soon as possible. Some months she pays

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

6 0

3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl

Annette [7]

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

$\frac{3}{8}x-17=10$ Keep 'x' on the left and move everything over.

$\frac{3}{8}x-17+17=10+17$ Add 17 to both sides. "-17" cancels out on the left.

$\frac{3}{8}x=27$ Simplified right side

$\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}$ Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

$x=27/\frac{3}{8}$ To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

$x=27*\frac{8}{3}$ Combine the factors into one fraction.

$x=\frac{27*8}{3}$ Multiply 27 by 8 in the numerator.

$x=\frac{216}{3}$ Simplify the fraction by dividing top by bottom.

$x=72$ Final answer, solved for 'x'

5 0

3 years ago

What is 1 half subtract 1 tenth

Anna [14]

To solve for $\frac{1}{2}- \frac{1}{10}$ You first need to find a common denominator.

To do so, you need to make both denominators 10 by multiplying the top and bottom of $\frac{1}{2}$ by 5

$\frac{5}{10}- \frac{1}{10}$ = $\frac{4}{10}$ Reduce by dividing both the top and bottom by 2

Your answer is $\frac{2}{5}$

8 0

3 years ago

Read 2 more answers

Write the equation in standard form for the circle with center (0, 9) passing through (0, 27/2)

sammy [17]

Given

coordinates of center= (0,9)

Circle passes through (0, 27/2)

Find

Equation of circle

Explanation

The equation of circle in standard form is

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-9)^2=r^2 \end{gathered}$

We know the circle passes through (0,27/2), then

$\begin{gathered} (0-0)^2+(\frac{27}{2}-9)^2=r^2 \\ r=4.5 \end{gathered}$

So the equation in the standard form is

$(x-0)^2+(y-9)^2=4.5^2$

Final Answer

$(x-0)^2+(y-9)^2=4.5^2$

8 0

1 year ago

The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA. A. XP = 1.5, PA = 7.5 B. XP = 2.4, PA = 6.6 C. XP =

mart [117]

The picture in the attached figure

we know that
RX+RA+XA=24
XA=24-RA-RX------> XA=24-11-4----> XA=9
XA=XP+PA
so
XP+PA=9------> XP=9-PA-----> equation 1

RX/XP=RA/PA

11*XP=4*PA-----> equation 2
substitute equation 1 in equation 2
11*[9-PA]=4*PA-----> 99-11*PA=4*PA----> 15*PA=99----> PA=99/15
PA=6.6
XP=9-PA-----> XP=9-6.6----> XP=2.4

the answer is the option
B. XP = 2.4, PA = 6.6

8 0

3 years ago