Q.2 Find the equation of the straight line passing through the A(-2, -4) and B(1, -7). (3)

Q.3 Find the equation of the straight line passing through (3, 5) and parallel to the line y = 2x+ 3 (2)

Q.4 Find the equation of the straight line passing through (5, 7) and gradient 3

Answers

Answer 1

Answer:

See answers below

Step-by-step explanation:

Standard equation of a line is expressed as y = mx+b

m is the slope

b is the y intercept

Given the coordinate points (-2, -4) and B(1, -7)

Slope m = y2-y1/x2-x1

m = -7-(-4)/1-(-2)

m = -7+4/1+2

m = -3/3

m = -1

Get the intercept

Substitute m = -1 and (1, -7) into y = mx+b

-7 = -1(1) + b

-7 = -1 + b

b = -7+1

b = -6

Get thw equation

y = mx+b

y = -x + (-6)

y = -x - 6

Q.3 The equation in point slope form is expressed as y - y0 = m(x-x0)

Given the point (3, 5)

x0 = 3

y0 = 5

Given the equation y = 2x+3

mx = 2x

m = 2

slope = 2

Substitute the slope and the point in the expression

y - 5 = 2(x -3)

y - 5 = 2x - 6

y - 2x = -6 + 5

y - 2x = -1

This gives the required equation

Q.4 The equation in point slope form is expressed as y - y0 = m(x-x0)

Given the point (5, 7)

x0 = 5

y0 = 7

Slope = 3

Substitute the slope and the point in the expression

y - 7 = 3(x -5)

y - 7 = 3x - 15

y - 3x = -15 + 7

y - 3x = -8

This give the required equation


Related Questions

You roll a number cube one time. What is the probability that you roll a 1 or 3? Enter your answer as a
fraction in simplest form.
The probability that you roll 1 or 3 is

Answers

Answer:

well, if the number cube has 4 sides then the answer is 1/2

Javon has a credit card with a $1,583 balance. His interest
rate is 8.8%. If he does not pay for 3 years, how much
Interest does he owe?

Answers

I believe the answer is $417.91

NO LINKS PLEASE- OR I SWEAR-
Which of the following are gaps in the data set? *

option A. 30
option B. 90 and 150
option C. 50 and 60

Answers

Answer:

option C. 50 and 60

Step-by-step explanation:

There are no dots above 50 or 60, so the answer is

option C. 50 and 60

Perform the indicated operation. 4/7x2 -3/2x3

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Paige has a membership to a new music website. It costs $5 a month and then each song costs $0.10 to purchase. Write an equation using s to represent the number of songs that she purchases if she spends $8.20 one month. (Hint: write an expression to represent the monthly charge and cost per song. Set that expression equal to $8.20)

Answers

Answer:

8.20=0.1s+5 <- equation

32 songs

Step-by-step explanation:

HELP NOW!!!! BRAINLIEST AND 15 POINTS

Answers

Answer:

Hope u find the answer, Bud <3

Step-by-step explanation:

Which of the following inequalities is true?
Previous
А)
– 4 – 5
B
- 3 < -2
C
0 <-4
D
1 < -2

Answers

Answer:

B. -3 < -2

Step-by-step explanation:

-3 is less than -2

because -2 is closer to 0 and into being positive than -3,

therefore, -3 < -2.

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: - 3 \: < \: - 2 \: }}}}}[/tex]

Help plzz need the answer and that explanation plz don't send a file

Answers

Answer:

C.

Step-by-step explanation:

None of these numbers have perfect square roots, but  is the closest to the point on the number line. The square root of  is 6. 244997998398398. Rounding that number we get approximately 6.3.

The length of a rectangle is 5 centimeters less than 2 times the width.
a. Write a polynomial expression that represents ( 2 points )
the area of the rectangle.Simplify the expression.

Answers

Given:

The length of a rectangle is 5 centimeters less than 2 times the width.

To find:

The polynomial expression that represents the area of the rectangle, then simplify the expression.

Solution:

Let [tex]x[/tex] be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width = [tex]2x[/tex]

5 centimeters less than 2 times the width = [tex]2x-5[/tex]

Length of the rectangle = [tex]2x-5[/tex]

We know that, the area of a rectangle is:

[tex]A=length \times width[/tex]

[tex]A=(2x-5)\times x[/tex]

[tex]A=2x^2-5x[/tex]

Therefore, the required polynomial expression is [tex]A=(2x-5)\times x[/tex] and its simplified form is [tex]A=2x^2-5x[/tex].

What is the slope of the line described by the equation Y = -6x+5?

Answers

The slope of the line is (-6) and the y-intercept is 5

Question 5 options:
The radius of a circle is 18.4 inches. The circle's circumference is about ___ inches.

Use 3.14 for ​.

my answer was 115.61, please check for me?

Answers

Yes your answer is correct

A tennis ball has a diameter of 2.7 inches. What is the approximate volume of the tennis ball
82.4
61.8
10.2
7.6

Answers

Answer:

volume = 10.2 in³

Step-by-step explanation:

r = 2.7/2 = 1.35

volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³


Find the value of X.

Answers

Answer:

x=5

Step-by-step explanation:

13x+3= 15x-7

2x=10

x=5

x is equal to 5
x = 5


6W = 60
A. 6
B. 10
C. 12
D. 30

Answers

Answer:

B) 10

Step-by-step explanation:

6W = 60

divide both sides of the equation by 6:

6W/6 = 60/6

W = 10

Marius and her 19 friends share 99$? how much will each person get if she shares it equally amongst her and her friends?

Answers

Answer:

Each would get $4 50

Step-by-step explanation:

Marius + her friends = 20 persons

99÷20 = 4.50

What is the measure of ABC?

Answers

A. 44

Step-by-step explanation:

An inscribed angle measures the middle of this arc.

If f(x)=x^2 what is g(x)
A. g(x)=1/9x^2
B. g(x)=(1/3x)^2
C. g(x)=3x^2
D. g(x)=1/3x^2

Answers

Answer:

the answer is B

Step-by-step explanation:

Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16 each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils

Answers

I’m sure it’s A :DDD

PLS HELP (image is down below)

Answers

Answer:

D) 30

Step-by-step explanation:

Hope this helps

Answer:

Down below

Step-by-step explanation:

easy way to get all possible answers is to multiply the number of choices you have.

for color there are 5 choices. color = c

for size there are 3 choices. Size = s

for Material there are 2 choices. Material = m

[tex]c*s*m\\5*3*2\\30=total[/tex]

your answer would be D. sorry if this is incorrect.

Justin used a container shaped like a cylinder for his dog's food. The dimensions of the container are shown below. What is the measurement closest
to the volume of the container in cubic inches?

Answers

17. ss s s s s s s. ss. s s s s s. s s s s s s f f f f d d d. d

The table shows a relation. ​Which statement about the relation is correct?

Answers

Answer:

c: the relation is not a function because one input has more than one output

Help! This is my math problem

Answers

Answer:

Step-by-step explanation:

The problem is that you cannot be sure that either triangle (it actually requires both of them) contain a right angle

What you have so far is SSA which is not one of the fundamental congruency triangles. In order to be certain of congruency the angle must be made up of the 2 given sides. You are certain that SAS will produce congruency. You are not so sure of  r SSA. There are proofs of this on the internet. I urge you to look into it. Though not long, following it step by step takes a lot of patience. A cup of strong coffee is a good idea.

Lillian purchased a guitar from Smash Music Stores. It regularly sold
for $670, but was on sale at 10% off. She paid 8% tax. She bought it on
the installment plan and paid 15% of the total cost with tax as a down
payment. Her monthly payments were 558 per month for one year.
a. What is the discount?
b. What is the sale price?
What is the sales tax?
d. What is the total cost of the guitar?
e. What is the down payment?
f. What is the total of the monthly payments?
g. What is the total she paid for the guitar on the installment
plan?
h. What is the finance charge?

Answers

Answer:

Step-by-step explanation:

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall. Sean's video game system measures 1 inch longer on all sides. What is the combined volume of the two game systems?

Answers

Answer:

Combined volume of the two game systems  [tex]=416[/tex] cubic inches

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.

So,

Volume of Soham's video game system = 8 × 6 × 2 = [tex]96[/tex] cubic inches

As Sean's video game system measures 1 inch longer on all sides,

the video game system measures [tex]8+2=10[/tex] inches long, [tex]6+2=8[/tex] inches wide, and [tex]2+2=4[/tex] inches tall.

Volume of the video game system = 10 × 8 × 4 = [tex]320[/tex] cubic inches.

Therefore,

Combined volume of the two game systems = [tex]96+320=416[/tex] cubic inches

NEED HELP!
The lengths of the red drum species of fish are approximately Normally distributed, with a mean length of 24 inches and a standard deviation of 1.4 inches. What proportion of red drum fish are less than 23 inches in length?

Find the z-table here.

0.1587
0.2389
0.2709
0.7611

Answers

Answer:

0.2709 ok that answer was right

Answer:

B. 0.2389

Step-by-step explanation:

...

john simplified 2 square root of 96 to get an answer of 4 square root 24
Explain the error that john made and then correct his mistake

Answers

Answer:

Step-by-step explanation:

2√96 = 2* √(4 * 24)

= 2*2√24

= 4√24

That is equal to 2√96 but a simpler result is:

4√24 = 4 * √4*√6

= 4 *2 √6

= 8√6

Determine the area of the trapezoid.

Answers

Answer:

a your answer is 87.5

Step-by-step explanation:

( (9+16)/2 ) (7)

add 9 and 16 and then divide by 2 and then mutrilply by 7

The answer is A . I hope it’s right

Find the volume of the prism with a height of 3 ft and a base of 2 ft and 4 ft

Answers

Answer:

52 I'm pretty sure

Step-by-step explanation:

3x2= 6

3x4=12

4x2=8

8+12+6= 26

26X2=52


If the surface area of a sphere is represented by 144 pi, what is the volume in terms of pi?

Answers

Answer:

288 pi

Step-by-step explanation:

Hurry please and show your work! Thanks! Useless answers will be reported!
Veterinary doctors marked 30 deer and released them. Later on, they counted 150 deer,
12 of which had marks. To the nearest whole number, what is the best estimate for the
deer population?

Answers

Answer:

375

Step-by-step explanation:

12/150 is 0.08, which is 8%

this mean 8 perfect of the population were marked

8 percent is 30 deers

30/0.08=375

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