Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?

Answer:

2^2 * 3^2 * 7

Step-by-step explanation:

Keep dividing by prime numbers:

2 ) 252

2)  126

3)    63

3)    21

        7

so 252 = 2*2*3*3*7

= 2^2 * 3^2 * 7

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

=======================

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

Answer:

6.6 ft.

Step-by-step explanation:

Right triangle: Use this formula a² + b² = c² .  Given c = 12, a = 10 find b

(10)² + b² = (12)²

100 + b² = 144

        b² = 144 - 100

        b² = 44

        [tex]b = \sqrt{44}[/tex]

        b = 6.6

Answer: 61%

Step-by-step explanation:

Answer:

e=19.6h

Step-by-step explanation:

If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.

21 h            1 hour

--------- = ------------------

411.60 dollars    xdollars

To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.

411.60 / 21= $19.6

Now, since we know the unit rate, we can make an equation!

e=19.6h

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

Answer:

Step-by-step explanation:

Solve by comparing ratios of corresponding sides:

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Answer:

EFGH, HFGE, EGFH, HGFE

Step-by-step explanation:

Answer:

23 chips I believe

Step-by-step explanation:

10 add 13

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2

Answer:

C.) 630

Step-by-step explanation:

14x15=210

210x3=630

See attachment for answer and math work.

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

Answer:

y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C

2x + 6y = -6 ; Graph A

y = [tex]\frac{1}{2}[/tex]x + 2; Graph B

Answer:

y-inctercept=4, x-intecept=7

Step-by-step explanation:

I did it with the standard to slope again!

[tex]7y=28-4x[/tex]

[tex]y=4-\frac{4}{7}x[/tex]

Now don't get confused here, 4 is the y incetecept, not -4.

When y=0, x=7

UPDATE:

To determine x and y intercept using graph, see where the line intersects at the x or y axis.

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.

We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees

Since we know this, we can form the equation [tex]<TOS=180-128[/tex]

Therefore, we know that <TOS is 52 degrees.

We can test this by adding up 52 and 128 and we should get 180.

[tex]128+52=180?\\180=180[/tex]

Therefore, [tex]<TOS=52[/tex] degrees.

Answer:

981.75

Step-by-step explanation:

The area of a circle is πr^2, but this a semi circle, so you need to half it.

Answer:

b=(r/5)-a

Step-by-step explanation:

To solve, you do the mathematics.

r=5(b+a)

r=5b+5a

5b=r-5a

b=(r/5)-a

Answer:

4.603/Lb

Step-by-step explanation:

$55.23 / 12 = 4.603/Lb

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

Answer:

answer is attached

Answer:

Step-by-step explanation:

The slope-intercept form:

Find the slope using given points:

The y-intercept is given with point (0, 2):

The line is:

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)