Parallel to the line y=-3x + 5 passes through (-4,5)

Answers

Answer 1

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7


Related Questions

A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.

Answers

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards

Answers

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

Factorise fully 2x+8

Answers

Answer:

2(x+4)

Step-by-step explanation:

To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.

Answer: 2(x + 4)

Explanation: If you're asked to factor a polynomial,

the first thing you want to look for is the greatest common factor

for the terms that are involved.

The greatest common factor of 2x and 8 is 2.

So a 2 can factor out.

Inside the parenthses, we have each term divided by

the 2 that factored out of the polynomial.

So we have 2(x + 4).

Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5

Answers

Answer:

1.44

Step-by-step explanation:

Answer:

the answer is 1.44

Step-by-step explanation:

Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.

                      Your welcome

Substitute u = 26 into u + 34 to find the value of the left-hand side of the equation

Answers

Answer:

60

Step-by-step explanation:

The answer is 60 because the equation u = 26 tells us u is 26

So we can plug in 26 into u + 34

It should look like this 26 + 34 and it equals 60

pls mark brainliest

FINANCE

2. Which of the following statements is FALSE?

A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are

Answers

Answer: I think its C

Step-by-step explanation:

Geometry: Express the area of each figure as a monomial. I need help with this, anyone? ​

Answers

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

To learn more on triangle area click:

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If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?

Answers

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Gina says that for all real numbers a and b, ab=ba. is this statement true or false? If false, give a counterexample

Answers

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5

Answers

Answer:

6.33333 is the answer <3

If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.

Answers

Answer:

[tex](7,-11)[/tex]

Step-by-step explanation:

Given

[tex]S = (1,5)[/tex]

[tex]M = (4,-3)[/tex]

Required

Determine the coordinates of T

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (4,-3)[/tex]

[tex](x_1,y_1) = (1,5)[/tex]

Substitute these values in the above formula:

[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]

[tex](8,-6) = (1 + x_2,5+y_2)[/tex]

By direct comparison:

[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]

Solving for x2

[tex]1 + x_2 = 8[/tex]

[tex]x_2 = 8 - 1[/tex]

[tex]x_2 = 7[/tex]

Solving for y2

[tex]5 + y_2 = -6[/tex]

[tex]y_2 = -6 - 5[/tex]

[tex]y_2 = -11[/tex]

Hence, the coordinates of T is: [tex](7,-11)[/tex]

A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?

Answers

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

Please help I’ll number 12!

Answers

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.

Answers

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3

PLEASE HELP ME

Answers

Answer:

A

Step-by-step explanation:

remember y=Mx+b where M is slope mad B is y intercept

A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP

Answers

Blue can be 1/10 and yellow can be 3/10 or other way around.

solve 1,000x10 hint: use a strategy

Answers

Answer:

10000

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left  the one from the number 10 and allso the ones from 1000

Is 16.4 greater than 16

Answers

Answer:

yea

Step-by-step explanation:

Yes.

16 could also be written as 16.0, or 16.00 or even 16.00000.

16.4 could also be written as 16.40, or 16.400.

And of course, you know 4 is greater than 0.

This is why 16.4 is greater.

When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.

Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________

a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above

Answers

Answer:

b

Step-by-step explanation:

80% +15% +5%=100

15/100= 0.15

5/100= 0.05

therfore

0.15 + 0.05 = number of flaws

=0.20

Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.

The expected number of flaws is a weighted average of the percentages that have flaws:

=∑ (Percentage of flaws x Number of flaws)

The expected number of flaws is therefore:

= (80% x 0) + (15% x 1) + (5% x 2)

= 15% + 10%

= 0.25

In conclusion, you would expected the number of flaws to be 0.25.

Find out more at https://brainly.com/question/13412627.

Please help it would help a lot

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?​

Answers

Answer:

133 windows

Step-by-step explanation:

write an equation of the line with a slope of -3/4 and y-intercept of -6

Answers

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer: y = (-3/4)x - 6

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

3
2
Show gred
1
16
-5
4
1 2
3
4
5 6
3 -2 -1
11
-5
-6
- x2. on
sin - cos - tan-
+ - X + / +
log-e? 10
-
10n
Show less​

Answers

Answer:

The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Step-by-step explanation:

We need to calculate the gradient of the graph

The gradient of graph is actually slope of the graph.

The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Taking any 2 points on graph i.e

(1,0) and (-1,-3)

We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]

Putting values and finding gradient:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]

So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Helpoooooooooooooooooooo

Answers

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Is m || n? Which theorem (which tool) did you use to decide?

Answers

Answer:

Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.

Step-by-step explanation:

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

yes

Step-by-step explanation:

Yes m is parallel to n because the alternate interior angles are equal .

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Answers

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

Learn more about this concept here:

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