Mathematics High School

Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).

Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:

Answers

Answer 1

Answer:

[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.

[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]

At this point we have everything, let's replace and write down the line in a better looking form

[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]

Related Questions

Help!

How do you find the change in the output value and the change in the input value, in a table?

Thank you, I just need simple instructions :)

Answers

Answer:

You can use ratio to compare the input and output

Step-by-step explanation:

Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9

Answers

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

PLEASE HELP AD EXPLAIN WELL!

Answers

Answer:

y intercept is (0, -4)

equation is y = x - 4

Step-by-step explanation:

The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)

The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.

The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.

So the slope is 4/4 = 1.

The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.

The equation is slope times x plus y intercept value.

So putting this all together gives you an equation of

y = 1·x + -4

a.k.a.

y = x-4

The diagram shows a trapezium.
B
D
Diagram NOT accurately drawn
AD = x cm.
BC is the same length as AD.
AB is twice the length of AD.
DC is 4 cm longer than AB.
The perimeter of the trapezium is 38 cm.
Work out the length of AD.

Answers

Perimeter implies the total length of sides of a given figure. Thus the length AD = 4.75 cm.

A plane figure is any type of figure bounded by four straight sides. Examples are square, rectangle, trapezium, rhombus, etc. A trapezium is a type of plane figure which belongs to a family referred to as quadrilaterals.

The perimeter of a given shape is the sum of the length of its boundaries or sides.

Thus the length AD required in the question can be determined by:

AD = x cm

BC = x cm

AB = 2x cm

DC = 4x cm

Perimeter = AD + BC + AB + DC

                 = x + x + 2x + 4x

Perimeter = 8x

But the perimeter of the trapezium has been given as 38 cm.

Thus,

38 = 8x

x = [tex]\frac{38}{8}[/tex]

  = 4.75

Therefore, the length of AD is 4.75 cm.

For more clarifications on the perimeter of a given shape, visit: https://brainly.com/question/12263031

#SPJ1

Heyyyyy please help me do this question

Answers

Answer:

5/12

Step-by-step explanation:

convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer

The answer is 42.

Since 1/3 of them dropped out, 2/3 are still in the race. 2/3 of 84 is 56.

For the second part, 1/4 of them dropped out, meaning 3/4 of the REMAINING runners are still in. 3/4 of 56 is 42.

Question 1

25 pts

What is the total cost to run the cookie shop when rent is $50.00, insurance is $50.00 and the cost

to make the cookies is $100.00?

O $50.00

O $100.00

O $200.00

O $4.00

Answers

Answer:

200

Step-by-step explanation:

50 for rent and 50 for insurance is 100 plus 100 to make them

Name Performance Task Write and Solve Equations Account Mario received his most recent bank statement and is planning what to do with his finances. He wants to be responsible with his money and save as much as he can for the future. The table shows the current balance of his 3 bank accounts.

Checking Account: 7,456.43
Savings Account: 2,010.55
Money Market Account: 2,378.09

Write your answers on another piece of paper. Show all your work to receive full credit.

Part 4 Mario wants the total of the 3 accounts to be at a minimum of $13,000 after his next paycheck. His next paycheck will be worth $1,200. He thinks that he will reach this goal if he deposits his entire paycheck to his accounts. Is Mario correct? Use an equation to support your answer.​

Answers

Answer:

13000

Step-by-step explanation:

2. Which of the following shows a translation of f(x) two units to the left?
f(x - 2)
f(x)-
f(x + 2)
f(x) + 2

Answers

Answer:

f(x + 2)

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the left of a units

Here f(x) is translated 2 units to the left , then f(x + 2)

Help please I really don’t understand

Answers

≥-2 ≤ 2 I think that this might be the answer

Answer:

-2 ≤ x ≤ 2

Step-by-step explanation:

x values will be somewhere between -2 and 2 and include -2 and 2

Suppose that the function g is defined, for all real numbers, as follows.
find g(-3) ,g(-1), g(1)

Answers

Answer:

5/2

Step-by-step explanation:

g(-3) falls under x<=-1 so substitute -3 on x

-1/2(-3)+1

3/2+1

5/2

I need help (if you can) the problem is Solve
the algebraic expression below.
(3)(0.2)+9

Answers

Answer:

9.6

Step-by-step explanation:

(3) * (0.2)=0.6

Then do 9+ 0.6

this will equal 9.6

Jack spent $22 at Petco. He bought a Betta fish for f dollars and other supplies for $14.57. What is the cost of the Betta fish.

Answers

Answer:

7.43

Step-by-step explanation:

22 - 14.57 = 7.43

Decide which of the following numbers does not belong in the group.

108
502
603
360

And why does it not belong?

Answers

Answer:

502

Step-by-step explanation

108 has the numbers 0, 1, and 8 which added together totals 9

603 has the numbers 0, 3, and 6 which added together totals 9

360 has the numbers 0, 3, and 6 which added together totals 9

502 has the numbers 0, 2, and 5 which equal 7

502 is the odd one out

If r= 13.5 cm, q = 16.2 cm, p = 18cm, and o = 8.1 cm, what is the measure of n?

Answers

The measure of n is 19.2 because there is a pattern between the constants and the variables

Find the value of y.

Answers

Answer: y=11 y=5 y=4 y=5 y=7 y=3

Step-by-step explanation:yknow

y=11 y=5 y=4 y=5 y=7 y=3 hope this helps!

Q.5) The graph shows the number of inches a plant grew each week. Between which 2 weeks did the plant didn't grow at all?



Week 1 and Week 2
Week 4 and Week 5
Week 2 and Week 3

Answers

Type answer is Week 1 and Week 2. Please mark me brainliest

Answer:

Week 1 and Week 2.

Step-by-step explanation:

Candace is considering trying the Spice Tea. What is the greatest number of 1-pound bags of Dark Roast coffee she can buy with
$52, if she also buys 0.5 pound of the Spice Tea and 2 pounds of the Morning Blend coffee?

Answers

Answer:

Step-by-step explanation:

69

choose the correct description of the system of equations. 3x-y=5 6x=2y+5 A.Consistent and independent B.Consistent and dependent C.Inconsistent D.Inconsistent and dependent

Answers

Answer:

C. inconsistent

Step-by-step explanation:

3x - y = 5                      6x = 2y + 5         Solve for y

3x - 5 =  y                      6x - 5 = 2y

3x - 5 = y                       [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]

3x - 5 = y                       3x - 2.5 = y

Slope = 3                       Slope = 3                    Same slope

y-intercept: -5                 y-intercept: 2.5         Different intercepts

                                                                           not solution set

If PQ = 6cm, QR = 55cm and RP = 55cm, What type of triangle can be constructed?

Answers

Answer:

isosceles triangle

Step-by-step explanation:

In an isosceles triangle 2sides are equal

Medicine is used by the body at a rate of 10% per hour.
Is this situation discrete or continuous?

A. discrete
B. continuous

Answers

Answer:

your answer  is B

Step-by-step explanation: if its at a rate of 10% an hour that is a continuous rate

what is the value of (1/16)^-1/4

Answers

Answer:

4^-5

Step-by-step explanation:

(1/16)^-1/4

(1/4)^4-1/4

4^-4-4^-1

4^-5

If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)

Answers

20+3(3y-4x)

if x=4 y=6

20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26

answer: 26.


A backpacking club can average 2 1/2 miles per hour. At that
rate, how long will it take for a hike of 8 3/4 miles?

Answers

Answer:

3.5 hours

Step-by-step explanation:

8.75/2.5=3.5

Answer:

3.5 miles

Step-by-step explanation:

Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.

Answers

Answer:

6 ft/s

Hope I helped

:') kdhsafhiusijuasjksavbaubdhbsaiuvbasofa

Answers

Answer:

reatsrhgfdwdqewrgtyj :'(

Step-by-step explanation:

could you provide the polygons so I can answer?

podria proporcionar el poligono que puedo responder?

4t=-10
the operation would be multiply and i got the answer which is 2.5
i just don’t know if it’s an inverse or a reciprocal.
can anyone help? thanks !

Answers

~one variable linear equation

4t = -10

t = -10 ÷ 4

t = -2,5 ✔️

So, the answer is -2,5 no 2,5

~ nice to help you ^^

A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3

Answers

the correct answer is B

hope I helped

Which is the graph of f(x) = 5(2)"?

Answers

Answer:

AWKT

5 × 2 = 10

x=10

y=0

(10,0)

Here is a linear sequence.

4 11 18 25

Work out an expression for the nth term.

Answers

Answer:

7n-3

Step-by-step explanation:

You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.

HELP ME I GOT 67 POINTS THAT I WILL GIVE AND ILL GIVE YOU BRAINIST

Answers

Answer:

35.325 in³

Step-by-step explanation:

Since the base of a cylinder is a circle,

area of cylinder= πr²h

Radius, r

= diameter ÷2

= 3 ÷2

= 1.5 inches

Volume of can

= 3.14(1.5)²(5)

= 35.325 in³

35.34
V=3.14x r^2= 35.34292
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