Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

where m = the slope of the line and (x1, y1) is a point on the line.

Here m = 5, x1 = -3 and y1 = 6.

So we have:

y - 6 = 5( x - (-3))

y - 6 = 5(x + 3)   (Answer)


Related Questions

When solving a system of equations graphically, when would you need to estimate the solution? Explain.

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

e. Find the slope of the line that passes through the points (1, 3) and (9,7),

Answers

Answer:

0.5

Step-by-step explanation:

→ Find the difference in y

7 - 3 = 4

→ Find the difference in x

9 - 1 = 8

→ Divide the results

4 ÷ 8 = 0.5

Answer:

The slope is 1/2 (m=1/2)

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]

you select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of
times you will pick a red marble?

8 marble in total and 4 are green, 3 blue, and 1 red hope it help the problem :)

Answers

Probably 2/5 chances

What is the range of the given function?

Answers

Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.

Step-by-step explanation:

A palm tree is 30 feet tall and casts a 48 foot shadow. The woman standing next to the palm tree casts a shadow similar to that of the palm tree. How tall is the woman if she casts an 8 foot shadow?

Answers

Answer:

48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah

Step-by-step explanation:

309,303,297 find the 33rd term

Answers

Answer:

111

Step-by-step explanation:

multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309

Answer:

117

Step-by-step explanation:

Hope this helps!

X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a few days​

Answers

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

x/2 = y/3 ..... equation (A)y/3 = z/4 .... equation (B)x/2 = z/4 .... equation (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

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

The key takeaway from the last section is that

z = 2xy = 1.5x

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

Convert ratio to fraction simplified. 25:45

Answers

Answer here:
Hope this helps!:)
That ratio simplified to fraction form is 5/9. Why is this? Because 25 and 45 are both divisible by 5, and when you divide 25/5, you get 5. And when you divide 45/5, you get 9

Write 110% as a mixed number in simplest form.

110% = $$

Answers

Answer:

50

Step-by-step explanation:

(7g+2)(5g+4)=

help please !

Answers

Answer:

35g^2+38g+8

Step-by-step explanation:

(7g+2)(5g+4)

35g^2+10g+28g+8

35g^2+38g+8

What is a2-b2 equal to?​

Answers

aZ+b?=is equal to
Step-by-step explanation:
One Solution.
a? + b2= c2, is called the Pythagorean Theorem.
For example
42+32=62
16+9= c2
25=62
Second solution: Formula of algebra
a2+62
Cause,
(a+b)2= a?+ b2 + 2ab
So, a?+ b2= (a+b)2-2ab

Is this relation a function? {(3, 2), (5, 9), (11, 25)}

Answers

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

3 equivalent ratio to 9/2

Answers

Answer:

10/12 i took the test

Step-by-step explanation:

Answer:

18/4  ,  27/6   ,   36/8

Step-by-step explanation:

9 to 2 x 2 = 18 to 4

9 to 2 x 3 = 27 to 6

9 to 2 x 4 = 36 to 8

A river flows at the rate of 12 feet per minute. What is the rate in second per foot?

Answers

Answer: 1/5 or 0.2 in decimal form.

Explanation:

There are 60 seconds in a minute. We know the river flows 12 ft per 1 minute. So in order to find the rate per seconds, divide: 60/12. You get the answer: 1/5 or 0.2 in decimal form.

A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)

What is the iterative rule for this sequence?

A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1

Answers

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.

Select all of the following that are ordered pairs of the given function.



ƒ(x) = 3 - 2x

(-2, -1)
(1, 0)
(2, -1)
(0, 3)
(-1, 5)

Answers

Answer:

(-2,-1)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Answer:Answer:

(-2,-1) (2,-1) (-1,5)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Step-by-step explanation:

There are 222 red marbles in a box. Amit takes out 6 red marbles and replaces them with 12 blue
marbles. He continues doing this till all the red marbles are replaced with blue marbles.
Which of the following expressions gives the total number of blue marbles he put in the box?
A (222 + 6) = 12 B (222 - 6) + 12 C (222 - 6) + 12 D (222 + 6) x 12

Answers

Answer:

(222 - 6) + 12

Step-by-step explanation:

You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).

Two times 3X times Y times 4Z times X times Y times Z

Answers

Answer:

24*(X^2)*(Z^2)*(Y)

Step-by-step explanation:

2*(3X)*(4Z)*(X)*(Y)*(Z)      

2*(3X^2)*(4Z)*(Y)*(Z)       [Combine like terms (X)]

2*(3X^2)*(4Z^2)*(Y)         [Combine like terms (Z)]

24*(X^2)*(Z^2)*(Y)           [Combine like terms (2*3*4)]

Can someone please tell me the answer
(20 points)

Answers

Answer:

the aswer is B

Step-by-step explanation:

Factor
y=x² + 4x + 3

Answers

Answer:

[tex]y=(x+3)(x+1)[/tex]

Step-by-step explanation:

[tex]y=x^2+4x+3[/tex] <-- Given

[tex]y=x^2+x+3x+3[/tex] <-- Expand middle term

[tex]y=x(x+1)+3(x+1)[/tex] <-- Factor into two parts

[tex]y=(x+3)(x+1)[/tex] <-- Combine like terms

I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.

Answers

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Suppose TD=SG and what additional information is needed to prove the two triangles congruent SAS
a)


PLEASE HELP

Answers

Answer:c

Step-by-step explanation:

Answer:

If TD = SG and MD = SL, then angle D would have to equal angle S in order to prove the triangles congruent by SAS.

Step-by-step explanation: C


How many solutions?
No solution
One Solution
Infinitely Many Solutions

Answers

Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

pleeeeeeeeeeeease help :)

ty

Answers

Answer:

y = 3x + 16

Step-by-step explanation:

If it is parallel to y = 3x + 8, then it has the same slope of 3.

y = 3x + b. Substitute the x and y values into the equation to solve for b.

7 = 3(-3) + b

7 = -9 + b

16 = b

y = 3x + 16

If 10 plus 2 equals 12 the what does 10 times 8 times 12 times 1 mean

Answers

Answer:

960

Step-by-step explanation:

(10 + 2) = 12

"10 times 8 times 12 times 1"

what does 10 times 8 times 12 times 1 mean

10  *   8   *  12  * 1 = (10)(8)(12)(1)

                            =   (80) * 12

                            =   960

Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related?
(See attatchment)

ANSWER OPTIONS:
A- The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' intersect at point F.
B- The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.
C- The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.
D- The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.

Answers

Answer:

The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.

Step-by-step explanation:

I got it right on my test! :)

The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

As we know,

The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

From the graph:

The coordinate for E and F are:

E = (-4, 0)

F = (0, 2)

The scale factor = 1/2

E' = (-4/2, 0) = (-2, 0)

F' = (0, 2/2) = (0, 1)

Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

How do you write 750% as a fraction or mixed number

Answers

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

HELPPPPPP PLLSLLSLSLLSSS!!!
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.95 or the 14-ounce box for $2.81?

Answers

Answer:

It is better to buy the 10-ounce box for $1.95

Step-by-step explanation:

1.) Set up a ratio to represent this problem.

Ounces : Price

10 : 1.95

14 : 2.81

2.) Find the unit price for the first ratio.

10 : 1.95

/10  /10

1 : 0.195

This means that a one-ounce box of cereal will cost $0.12

3.) Find the unit price for the second ratio.

14 : 2.81

/14  /14

1 : 0.20071428571

This means that a one-ounce box of cereal will cost $0.20

4.) Compare prices

$0.12 < $0.20

Therefore, it is better to buy the 10-ounce box for $1.95.

determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)

Answers

Answer:

Not a parallelogram.

Step-by-step explanation:

By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:

[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].

A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.

The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.

Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:

[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].

Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].

Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.

An 8 ounce steak costs $12.80. How much would a 32 ounce steak cost?

Answers

Answer:

12.80 divided by 8 = 1.60

1.60 x 32 = 51.20

Step-by-step explanation:

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