Write the equation of a line that is parallel to {y=-0.75x}y=−0.75xy, equals, minus, 0, point, 75, x and that passes through the point {(8,0)}(8,0)left parenthesis, 8, comma, 0, right parenthesis.

Answers

Answer 1

Answer:

[tex]y = 0.75x - 6[/tex]

Step-by-step explanation:

Given

Parallel to:

[tex]y = 0.75x[/tex]

Passes through

[tex](8,0)[/tex]

Required

The equation

The slope intercept form of an equation is:

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

Where:

[tex]m \to[/tex] slope

So, by comparison:

[tex]m = 0.75[/tex]

For a line parallel to [tex]y = 0.75x[/tex], it means they have the same slope of:

[tex]m = 0.75[/tex]

The equation of the line is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex]m = 0.75[/tex]

[tex](x_1,y_1) = (8,0)[/tex]

So, we have:

[tex]y = 0.75(x - 8) + 0[/tex]

Open bracket

[tex]y = 0.75x - 6 + 0[/tex]

[tex]y = 0.75x - 6[/tex]


Related Questions

Part B
Next, rewrite the exponential expression using factors of 8 so that the base of the equation is a product of two factors, with one factor being a perfect square.

Answers

The exponential expression is (√4×√2)².

What is radical form?

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

The given number is √8.

Now, 8=(√4×√2)²

=(2×√2)²

= 4×2

= 8

Therefore, the exponential expression is (√4×√2)².

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"Your question is incomplete, probably the complete question/missing part is:"

Rewrite the exponential expression using factors of √8 so that the base of the equation is a product of two factors, with one factor being a perfect square.

How do you rewrite p(x)=-5x2+120x-315 in vertex form

Answers

Answer:

[tex]p(x)=-5(x-12)^2+405[/tex]

Step-by-step explanation:

Hi there!

Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]

[tex]p(x)=-5x^2+120x-315[/tex]

Factor out -5 from the first two terms

[tex]p(x)=-5(x^2-24x)-315[/tex]

Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)

[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]

We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.

Complete the square

[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]

Simplify

[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]

Summary:

Complete the squareSimplify

I hope this helps!

Pls help I’ll brainlest

Answers

Answer:

It would be B.

Step-by-step explanation:

This is because adding a negative exponent onto a number is telling you how many times you have to divide it by. So in this case, it would be the equation 1 / 2^4 to solve it.

Answer:

answer is b friend

Step-by-step explanation:

I will mark brainliest please help!
Find the are of the figure?​

Answers

Answer:

The answer is 28

Step-by-step explanation:

B×h ÷ 2

8×7 ÷ 2

Use the Power Property of Logarithms to write the logarithm as a product, and simplify if possible: lnx3√.

Answers

Answer:

[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]

We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

What are Logarithms?

A logarithm is the power to which a number must be raised in order to get some other number

We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]

We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]

So Given logx to the power of root three

Here consider x as a and b as root 3.

[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

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Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?

Answers

Roller coaster B has greater top speed than roller coaster A.

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given,

speed of roller coaster A = 110ft./s

speed of roller coaster B = 85mph

1 mile = 5280 feet

⇒ 85 mile = 5280 × 85 = 448800 feet

1 hour = 3600 seconds

speed of roller coaster  B = 448800/3600 ft/s = 124.67 ft/s

comparing speed of both

Speed of roller coaster B > speed of roller coaster A

Hence roller coaster B has greater top speed.

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Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis to form point C. Then, point A is reflected over both axes to form point D. The four points become vertices of a quadrilateral. What is the most precise name for the quadrilateral formed, and how do you know? Explain her thinking.

Answers

Answer: W'' = (2, -3)Step-by-step explanation:Reflection over the x-axis negates the y-coordinate ...

Step-by-step explanation:

HELP ASAP I GIVE BRAINLESS!!!!!!!!!!!! ALSO GIVE 50 POINTS!!!!!!

what is the definition of comparison of two numbers
ps this is the question above this sentence!!!

Answers

Answer:

comparing number

Step-by-step explanation:

the answer is comparing numbers

Which lines are parallel. 1.) The blue and green 2.) blue and red 3.) Red and green 4.) blue,red,green

Answers

Answer: 2.) Blue and red

Step-by-step explanation:

The slope of the red and blue ones is - 3 while the green one's slope is -4

Please help me im pass due and my mom will ground me

Answers

Answer:

[tex] \frac{5}{6} * 20 = \frac{5 * 20}{6} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{5}{6} * 20 [/tex]

Multiply

[tex] = \frac{5 * 20}{6} [/tex]

[tex] = \frac{100}{6} [/tex]

Simplicity by reducing the fraction. Divide the numerator and denominator by 2, respectively.

[tex] = \frac{50}{3} [/tex]

Divide 50 by 3 to get a mixed number

[tex] = 16\frac{2}{3} [/tex]

The length of 1 board is 2feet and 10 inches, length of another board is 1yard 1foot 9inches. What is the total of the boards put together. Simplify answer

Answers

The total length of the two boards put together is 5ft 11in.

What is length?

Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.

To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.

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Note: Enter your answer and SHOW ALL THE STEPS THAT YOU USED to solve this problem in the space provided.

From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?

Answers

Answer:

The temp. started at -20. If it rose +8 degrees, then it would be -20+8=-12, because since the -20 and +8 are opposites, you would subtract them and the answer would have the sign of the larger number which is -. so -12 is the answer.

Step-by-step explanation:

since the -20 and +8 are opposites, you have to subtract them and you get -12

the temperature at midnight is -12 get it?

Use Exponential Functions

What is the y-intercept of the graph of y = 2.5×?

a. 2.5 c. 0
b. 1 d. -1

Please select the best answer from the choices provided

Answers

Answer:

B. 1

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer bbbbb B. 1

Original price: $26
Sales tax: 3%

Answers

Answer:

$25.22

Step-by-step explanation:

26 x .03= 0.78

26-0.78= $25.22

i hope this helps :)

Assume that AGHIE ALMN. Which of the following congruence statements
are correct? Check all that apply.
A. ZL 21
B. IG LM
C. THNM
D. ZN 21
E. GH = LM
F. ZME ZH

Answers

On solving the provided questions, we can say that the congruence of ABC=DEF, where A=D, B=E, and C=F.D because they are equal in length. F

What is congruence?

A figure that can be put exactly on another is said to be "matching." When the bread is piled, it is the same size and shape. The term "match" describes things that are precisely the same shape and size. A pair of geometric figures is said to be congruent or to be in a congruent relationship if one of them can be reliably superimposed over the other.

B D and F.

B because they would go together if the statement were put in that particular sequence. ABC=DEF, where A=D, B=E, and C=F.D because they are equal in length. F due to the same cause as B.

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4. The sum of two numbers is 100. If one is four times the another, find the numbers

Answers

Let the numbers be x and 4x. So, according to the question,

x + 4x = 100

=> 5x = 100

=> x = 100/5

=> x = 20

So, the number are,

x = 20

and

4x = 4×20 = 80

So, the two numbers are 20 and 80.

The weight of the square is 10 grams. How much heavier is the circle than the square?

Answers

By adding the weight of the triangle, the weight of the circle heavier than that of the square.

How to determine how much heavier the circle is than the square

The linear equation that results from examining the weights will contain the following parameters.

Let t stand for the triangle.

Let c stand for the circle.

Let's use the shape square.

left side of the equation = 6s + 3t

right side of the equation = 3s + 3c

equating both sides

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

3(s + t) = 3c

dividing all through by 3

s + t = c

10 + t = c

Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle

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A ball is thrown upward from a tower 234 ft. high with an initial velocity of 19 ft per second. In how
many seconds will it strike the groun kod and with what velocity?​

Answers

Step-by-step explanation:

Set the origin of the coordinate system at the top of the tower.

Given:

y = -234 ft (when the ball hits the ground)

v0 = +19ft/a

g = 32 ft/s^2

a) The equation of motion. for this freely-falling body is

y = v0t - (1/2)gt^2

When the ball hits the ground, t = T (time of flight)

----> -234 ft = (19 ft/s)T - (1/2)(32 ft/s^2)T^2

Rearranging the terms and dropping the units momentarily for brevity, we get

(16)T^2 - 19T - 234 = 0

This is a quadratic equation whose solution is

T = (1/32)[19 +- {(-19)^2 - 4(16)(-234)}]^(1/2)

= 4.46 s. or -2.68 s

Therefore, the time of flight T = 4.46 s

b) To find the velocity upon impact, we use

v = v0 - gt, where t = T = 4.46 s

= (19 ft/s) - (32 ft/s^2)(4.46 s)

= -123.7 ft/s

The negative sign means that its velocity is pointing down.

the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities

Answers

The number of months Mark can have the phone is given by the equation

A = 11.4 months

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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Plot 9, 2, and -4 on the number line PLS HELP BEEN ON THIS QUESTION FOR 3 HOURS

Answers

Answer: 9 is on left of the tiny dotted line of 10. 2 is the tiny dotted line right of 1 and -4 is right of the tiny dotted line of 5.

Step-by-step explanation:

here's a vague picture, hope this makes sense.

1. Spongebob, Patrick, and Mr. Krabs are investing a total of $70,000 in the Krusty Krab at a ratio
of 12:7-16. How much money did each of them invest?
Spongebob
Patrick:
Mr. Krabs:

Answers

Answer:

Too much money

Step-by-step explanation:

HELP PLEASE NO LINKS!!!!!!!!
6. Which of the following equations does the model below represent?​

Answers

Answer:

Step-by-step explanation:

Note the shiding squares ( 12 of 16) represent 3/4. And you are taking a quarter of that. The equation is

[tex]\frac{3}{4}\div4=\frac{3}{16}[/tex]

PLEASE HELP FASTT
Write the equation of the line that has a slope of -3 and passes through (2, -5)
show work if possible

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

Plug in your x (2) and y (-5) values into your slope-intercept formula (y=mx+b).

-5 = -3(2) +b

Solve for b:

-5 = -3(2) + b

-5 = -6 + b

1 = b

Plug in the value of b, and the slope (-3) for the formula:

y = -3x + 1

Which equation represents exponential growth?

y=(0.25)^x

y= 1/3(0.1)^x

y=(7)^x

y=(2/3)^x

Answers

Answer:

y=(7)^x represents the exponential growth

Answer:y=(7)^x exponential growth, and do you use monarch aop? cause i do and i was wondering

Step-by-step explanation:

Find Y
Special right triangles
Please last question of the day!! Due in 20 min!

Answers

Aye what answer choices are there cus I’m tryna see so I can might answer .

Summary
Suppose a quadratic expression in standard form has a value of c = 0. Can this quadratic expression be
factored? How do you know?

Answers

Answer:

yesx is a factor

Step-by-step explanation:

You want to know if the standard form quadratic equation ax² +bx +c = 0 can be factored when c=0.

C = 0

When the constant is zero, the equation becomes ...

  ax² +bx = 0

Factoring out x, we have a factored form as ...

  x(ax +b) = 0

showing that the equation can always be factored.

If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?

Answers

Answer: To find the percent increase in pay, you can use the following formula:

percent increase = ((new pay - old pay)/old pay) * 100

Plugging in the values given in the question, you get:

percent increase = ((11.75 - 10.50)/10.50) * 100

= (1.25/10.50) * 100

= 0.119047619 * 100

= 11.9047619%

Therefore, the percent increase in pay is approximately 11.9%.

Step-by-step explanation:

(khan academy) please help

Answers

Answer: C

Step-by-step explanation:

[tex](2^{-7} \cdot 5^5)^2\\\\=2^{(-7)(2)} \cdot 5^{(5)(2)}\\\\=2^{-14} \cdot 5^{10}[/tex]

How many lines of symmetry does the picture have?
PIC INCLUDED

Answers

Answer:

A) 1 line of symmetry

Step-by-step explanation:

Answer: a
Explanation: the drawing is done in 1 line

A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
1,021 decigrams
10,210 decigrams
102,100 decigrams
1,021,000 decigrams

Answers

The answer is 102,100

Answer:

102200

Step-by-step explanation:

564+458= 1022

1 decagram=100 decigram

So multiply the sum by 100

1022*100=102200

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