Write an equation in point slope form that is parallel to AB with endpoints A (2, -1) and B (4, 5) that goes through the point (1.5, 4)

Answers

Answer 1

Answer:

[tex]y = 3x - 0.5[/tex]

Step-by-step explanation:

Given

Goes through

[tex]C = (1.5,4)[/tex]

Parallel to AB

[tex]A = (2,-1)[/tex]

[tex]B = (4,5)[/tex]

Required

Determine the line equation

First, calculate the slope of AB

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

[tex]m = \frac{5--1}{4-2}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m = 3[/tex]

The line is said to be parallel to AB. This implies that their slopes are equal.

The equation of the line is then calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

Where:

[tex](x_1,y_1) = (1.5,4)[/tex]

So:

[tex]y = 3*(x - 1.5) + 4[/tex]

[tex]y = 3x - 4.5 + 4[/tex]

[tex]y = 3x - 0.5[/tex]


Related Questions

3. Michael surveyed a random sample of students in his school about
the number of sports they play. There are 300 students in Michael's
school. Use the results of the survey to estimate the number of
students in Michael's school who play exactly one sport. Explain
your answer. PLEASE HELP ILL ALSO MARK IT THE MOST BRAINLY ANSWER I didn’t spell that right but oh well

Answers

Answer:

Micheal surveyed 60 students.

Answer: Look at the explanation please.

Step-by-step explanation:

Please note that I am using what is in the Mathematics textbook.

So we need to know for the students who play Exactly 1 sport.

So you have to make an equation. It will look like this...

15/60 = x/300

Note that we get the 15 from the table of the number of students. We get 60 from adding 13+15+32 which is all the students Michael has surveyed.   Lastly we get 300 from the question There are 300 students in his school.

x = 75 when you do the math. Cross multiply and divide.

Hope this helps :)

simplify the expression.

Answers

Answer:

5^2

Step-by-step explanation:

Answer:

[tex]5^{2}[/tex]

Step-by-step explanation:

when dividing exponents with the same base (the number on the bottom) you subtract the exponents.

PLEASE HELP QUESTION IN PHOTO WILL GIVE BRAINLIST!

Answers

Answer:

13x degrees

Step-by-step explanation:

brainliest????!!!

i don’t know the answer please help

Answers

It’s 60 why cus I know it’s 60

Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.

Find the expected number of red counters selected.

Answers

Answer:

1.4

Step-by-step explanation:

Probability of selecting a red counter :

Number of red counter / total number of counters

5 / (5 + 3) = 5 /8 = 0.625

Probability of selecting a blue counter = 0.375

Let number of red counters :

0, 1 or 2

0 red counters :

Expected value = x * p(x)

0 + (0.625*1) + (0.390625 * 2)

0 + 0.625 + 0.78125 = 1.40625

Expected number of red counters = 1.4

What is the value of x?
Enter your answer in the box.

Answers

I believe it’s +2=7 please correct me if I’m wrong c:

Answer:

the answer is 4

Step-by-step explanation:

In a certain chemical, the ratio of zinc to copper is 3 to 14. Ajar of the chemical contains
546 grams of copper. How many grams of zinc does it contain?
It contains grams of zinc

Answers

Answer:

Given -

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Prove  -

How many grams of zinc does it chemical contain.

Answer

suppose that scalar multiple of the  zinc and copper be y .

As given

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Than equation is

13y = 546

13y = 546

y = 42

Zinc contain in the certain chemical = 4y

                                             = 4 42

                                             = 168 grams

Therefore 168 grams of zinc contain in a certain chemical .Step-by-step explanation:

What is the scale factor from the original triangle to its copy as a percent?

The picture is down below.

Answers

Answer:

scale factor = 20%

Step-by-step explanation:

A scale factor is a multiplier which can be used to determine the rate between two or more dimensions.

In the given figure, the sides of the original triangle is 5 times greater than that of the copy. Thus,

the scale factor = [tex]\frac{copy length}{original length}[/tex] x 100%

                          = [tex]\frac{1}{5}[/tex] x 100%

                          = 20%

The scale factor of the original triangle to its copy is 20%. This implies that the dimensions of the original triangle are multiplied by 20% to determine that of the corresponding copy triangle. Thus, we scale down the dimensions of the original triangle by 20%.



When h is 1/2 and j is 1/3,g is 4. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?

Answers

Answer:

The value of g is  144 when h is 2 and j is 3 .

Step-by-step explanation:

If g varies jointly with h and j.

g = khj

Where k is the constant of proportionality.

Put value in the above

k = 4 × 6

k = 24

As when  h = 2 , j = 3 and k = 24 .

Put in the above

g = 2 × 3 × 24

g = 144

Therefore the value of g is 144 when h is 2 and j is 3 .

I need this answer I’ll give brainliest

Answers

Replacing x with 1 and y by 11:
1^6 equals 1 and 11^2 equals 121
So 1+ 121
=122

Please help me with this question mark as A branlist please ASAP ASAP please ASAP

Answers

Answer:

x=18

y=27

explanation: 4 times 3 is 12

Drag and drop all methods of showing Triangle Similarity or Triangle Congruence into the appropriate box. SAS, SSS, ASA, AAS, CPOCTAC, HL, AA
Similar Triangle Justifications Congruent Triangle Justifications​

Answers

Answer:

hi

Step-by-step explanation:

by

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object

Answers

Answer: 6773.27

Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola

Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

Answers

Answer:  1/5 of a jar

Step-by-step explanation:

1/2 times 2/5= .2 = 1/5.

Answer:

1/5 of a jar

Step-by-step explanation:

Using π = 3.14, what is the circumference of a circle with a diameter of 28 units?
Round your answer to the nearest hundredth.

Answers

175.9

———————————————-

You are given the line y=-2x-5, and it then shifted up 2 units. Write your equation of the new line.

Answers

Answer:

i think the answer is 119943147893471987 yes its as easy as 1+1

Step-by-step explanation:

Answer: y=-2x-3

Step-by-step explanation:

I need help with this question ( see image). Please show workings.​

Answers

Answer:

13. (a) 120°, 120°, (b) 8.94 cm14. (a) 17.9 cm, (b) 22.4 cm

Step-by-step explanation:

Refer to the attached sketch (not to scale)Question 13

(a) The center of the circle is also the circumcenter of the triangle PQR.

Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:

∠POQ ≅ ∠QOR ≅ POR

Sum of the three angles is 360° as cover the full circle.

Each angle measure is:

∠POQ = ∠QOR = ∠POR = 360°/3 = 120°

(b) Each side is 16 cm and the radius is 12 cm.

The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.

The segment MO is:

MO² = PO² - PM² = PO² - (PQ/2)²MO² = 12² - (16/2)² = 80MO = √80 = 8.94 cm (rounded)Question 14

ΔXYZ is isosceles with:

XY  = XZ = 20 cmYZ = 18 cm

(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude

Find h:

h² = XZ² - ZM² = XZ² - (ZY/2)²h² = 20² - (18/2)² = 319h = √319h = 17.9 cm (rounded)

(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.

Find ∠ZXM:

sin ∠ZXM = ZM/ZX = 9 / 20m∠ZXM = arcsin (9/20) = 26.7° (rounded)

Find ∠ZOM:

m∠ZOM = 2*m∠ZXM = 2*26.7 = 53.4°

Find the measure of the radius:

sin ∠ZOM = ZM/rsin 53.4° = 9/rr = 9 / sin 53.4°r = 11.2 cm (rounded)

Find the measure of the diameter:

d = 2r = 2*11.2 cm = 22.4 cm

Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help

Answers

Answer:

2/3

Step-by-step explanation:

the ratio of base1 ABCD to base 1 of WXYZ is        

                      8                 to      12

     8/12    = 2/3      

Simon traveled 250 miles in 5 hours. What is his average speed?

Answers

Answer:

250/5 =50 miles per hour

Determine whether each set of data represents a linear, an exponential, or a quadratic function. (Desmos)

Answers

Answer:

Linear: The first and third one. (0,5) & (1,1)

Exponential: The second one (above). (-2, 1/16)

Quadratic function: The last one (below). (-3,35)

Step-by-step explanation:

HELP FAST No DECIMAL plz!

Answers

Answer: 1,145,375 centimeters cubed

Step-by-step explanation:

Answer: 1,145,375cm I think

Step-by-step explanation:

Solve the stimultanious equations

Answers

Answer:

x = -1 /2= -0.5 y = 15 /10= 1.5

What is the value of x?
5(x+2)=11

Answers

Answer:

X=1.8

Step-by-step explanation:

Step one: 5 times 1.8 equals 9.

Step two: 9+2=11

5(x+2)=11
5x+10=11
5x=11-10
5x=1
Then divide both sides with 5( the coefficient of x)
So x= 0.2 or 1/5 still the same answer

Mark as brainleast plzzz

Ben needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?

Answers

Answer:

696 39/100 meters

Step-by-step explanation:

Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?

Side A = 367 9/100 meters

Side B = 329 3/10 meters

How much fence does Ben need to buy?

Total fence Ben needs to buy = Side A + side B

= 367 9/100 + 329 3/10

= 36709/100 + 3293/10

= (36709+32930) / 100

= 69639/100

= 696 39/100 meters

Ben needs to buy 696 39/100 meters

(-1 1/4 divided by (-0.2)

Answers

Answer:

6.25

Step-by-step explanation:

4) A spinner has 8 congruent sections as shown in the diagram. If the
spinner is spun twice, what is the probability that the first spin will land on
a whistle and the second spin will land on a yo-yo?"

a. 1/2
b. 1/8
c. 2/8
d. 1/32

Answers

I need more info. How many spaces are yo-yo and how many are whistle?

A company advertises on a website

Answers

Answer:

I'm not that good at math sorry for waiting your time:)

Poosjsjdiwjqjsnsjjdd

Answers

Answer:

poosjsjdwjqisnsjjdd

Step-by-step explanation:

Answer:

what's the question?

Which statement is true? pls help :)

Answers

Answer:

The First Choice

Step-by-step explanation:

1/4 is equal to .25

.25 x 4= 1.00

25 x 4= 100

4x - 2y can be simplified as ____________​

Answers

Answer:

4x - 2y can be simplified as 2(2x - y)

2(2x-y)

2•2x= 4x
2•-y= -2y
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