parallel to the line y=3/5x-8; passes through (0,-3)

Answers

Answer 1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]

so we're really looking for the line of a slope of 3/5 and passing through (0,-3)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]


Related Questions

the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factory . How many students have visited a zoo but not a factory ?

Answers

Answer:

3

Step-by-step explanation:

6 have visited a zoo.

6 have visited a factory.

3 visited both.

Of the 6 who visited a zoo, 3 also visited a factory.

Of the 6 who visited a factory, 3 also visited a zoo.

Here is the list of students:

3 visited a zoo but not a factory.

3 visited a factory but not a zoo.

3 visited both.

Answer: 3

Find the slope of a line paprallel to the line below

Answers

Answer is -1/2

Parallel lines both have the same gradient or slope

So the line parallel to the one in the diagram will have the same gradient, just that they will have different y-intercepts.

The population of a town was 5655 in 2010. The population grows at a rate of 2.6% annually.
(a) Use the exponential growth model to write an equation
that estimates the population t years after 2010.
(b) Fill in the following table for each value of . Show your work. You may use a calculator to
calculate the final answer. Round your answers to the nearest whole number.

Answers

The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population remaining after x years.

The population grow at the rate of 2.6% annually. Hence:

b = 100% + 2.6% = 1.026

There are initially 5655 people, hence a = 5655.

The equation becomes:

y = 5655(1.026)ˣ

Find out more at: https://brainly.com/question/7259975

Compute the area of a circle with a diameter of 18 inches.

Answers

Answer:

254.34

Step-by-step explanation:

Diameter: 2×radius

Radius:Diameter÷2

Area: pi×radius²

18/2=9

Radius=9

pi=3.14

3.14×9²=254.34

The area is 254.34

WILL GIVE BRAINLIEST

Answers

Answer:

answer choice is B

Step-by-step explanation:

Use mathaway and scan the problem

A=1/2h(b1+b2) is the formula for the area of a trapezoid. Rewrite the formula for h, and then find the height of the trapezoid that has an area of 78 square inches and base lengths of 5 inches and 8 inches.

Answers

Answer:

Let's neaten up that equation a bit:

trapezoid area = height * (sum of the bases) / 2

height = 2 * area / (short base + long base)

height = 2 * 78 / (5 + 8)

height = 156 / 13

height = 12 inches

Source: https://www.1728.org/quadtrap.htm

Step-by-step explanation:

The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches

What is area of a trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

The area of a trapezoid is expressed as;

A = 1/2( a +b) h

where a and b are the parallel sides and h is the height.

Making h the subject

(a+b)h = 2A

h = 2A/( a+b)

h = 2A( b1 + b2)

A = 78 in²

a = 5 in

b = 8 in

h = 2 × 78/( 8+5)

h = 156/13

h = 12 in

learn more about area of trapezoid from

https://brainly.com/question/1410008

#SPJ3

WILL GIVE BRAINLIEST!!!!

Answers

Answer:

$319

Step-by-step explanation:

Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:

 (22/16)·$232 = $319

the questions are in the pdfs i really need help

Answers

Answer:

Step-by-step explanation:

1) 11 + 11

2) 17 - n

3) x^2

4) 3^3

5) 88 / 8

6) 6 + 11

7) the quotient of 35 and 5

8) the sum of 4 and 5

9) 10 squared

10) 3 less than x

13) p^3 + qp

2^3 + 4(2)

8 + 8 + 16

14) (y^3)z / 3

(5^3)3 / 3

125(3) / 3

375 / 3

125

15) 2 + (j - h)^2

2 + (5 - 3)^2

2 + (2)^2

2 + 4

6

Which of the following expressions is equivalent to 7 - 2 (y - 1)

Answers

Since nothing is shown, you can infer.

First to solve the expression:

1) Expand by distributing terms.

[tex]7-(2y-2)[/tex]

2) 2 Remove parentheses.

[tex]7 - 2y + 2[/tex]

3)  Collect like terms.

[tex]-2y+(7+2)\\[/tex]

4) Simplify.

[tex]-2y + 9[/tex]

The expression that is equivalent to [tex]7-2(y-1)[/tex] is [tex]-2y + 9[/tex].

Hope this helps,

- Recordofraganrok

Math Algebra 1 Honors Unit 4 that's what it is ​

Answers

Answer:

Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.

solve the system using substitution 4x+3y=23 x-5=0

Answers

Answer:

y=1, x=5

Step-by-step explanation:

Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5

Now we have a value for x, so plug x into the original equation,

4(5)+3y=23,

20+3y=23

Subtract both sides by 20

20-20+3y=23-20

3y=3

dvide both sides by 3

y=1

use the value for x we got earlier

y=1, x=5

MATHH QUESTION HELP. mesasuremtns

Answers

Answer:

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Look at the front side of the building. It's a triangle, with the height given. We can see a right triangle here which means we can use the Pythagorean theorem. a^2 + b^2 = c^2 (a and b are the shorter sides called legs and c is the longest side called the hypotenuse)

20^2 + 13^2 = c^2

400 + 169 = c^2

569 = c^2 square root both sides

Sqrt 569 is approximately 23.85 ft. This is the length from the roof peak down the front edge to the bottom front right corner in the image.

Now, if we consider the roof itself. That edge is now a leg (on the front face it was the hypotenuse). The other leg is the 35 ft width given. So we'll use pythagorean theorem again to find the diagonal

23.85^2 + 35^2 = c^2

568.8 + 1225 = c^2

1793.8 = c^2

Square root both sides of the equation.

Sqrt 1793.8 = c

42.35 ft = c

The diagonal of the roof is just over 42 feet, that is 42.35 feet.

I need help asap! Pls :)

Answers

Answer:

Step-by-step explanation:

6x + 10 + 2x + 26 = 180

8x + 36 = 180

8x = 144

x = 18

Which expression has a coefficient of 4?
A
(2^x)+4
B
4(2^x)+1
C
2(x^4)+1
D
2(4^x)+1

Answers

Answer:

Option D

Step-by-step explanation:

[tex]\\ \sf\longmapsto 2(4^x)[/tex]

You have to first find 4^x and then multiply it with two .

Not like this

[tex]\\ \sf\longmapsto 2(4^x)=8^x [/tex](×)

Hence the variable has coefficient 4 as 4^x is multiplied.

Please help I don’t understand!!

Answers

Answer:

[tex] \frac{5(x + y)}{ - 8x} [/tex]

Step-by-step explanation:

quotient means division

numerator is the top

denominator is the bottom

product means multiply

sum means add

state whether each of the following equations represent growth or decay.

Answers

Answer:

ehhh Pfouto math ni

dali raka AA yooo

Pls answer will give brainiest

Answers

Answer:

8/15

Step-by-step explanation:

1/5 + 1/3 = 3/15 + 5/15 = 8/15

What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2

Answers

Answer:

y = 1/2x - 8

Step-by-step explanation:

Assuming that they want the equation in slope intercept form we would use the following form: y = mx + b

where m = slope and b = y intercept.

We are given the slope and a point on the line. We need to find the y intercept. We can do this by plugging in what we are given and then solving for b.

y = mx + b

slope (m) = 1/2

x value of given point (x) = 8

y value of given point (y) = -4

- plug in these values -

-4 = (1/2)(8) + b

now solve for b

multiply 1/2 and 8

-4 = 4 + b

subtract 4 from both sides

-8 = b

So the y intercept (b) is -8

We now plug in the slope and y intercept into slope intercept form

y = mx + b

m = 1/2 and b = -8

y = 1/2x - 8 is the equation of the line that passes through the point (8,-4) and has a slope of 1/2

For more validation refer to the attached image.

[tex]\text{Given that,}\\\\(x_1,y_1) = (8,-4), ~~ \text{and slope, m} = \dfrac 12\\\\\text{Equation with given points,}\\\\y -y_1 = m(x-x_1)\\\\\implies y -(-4) = \dfrac 12 (x-8)\\\\\implies y+4 = \dfrac 12 x - 4\\\\\implies y= \dfrac 12x -4 -4 \\\\\implies y = \dfrac 12 x -8\\\\\implies y = \dfrac{x-16}2\\\\\implies 2y = x -16\\\\\implies x -2y = 16[/tex]

I’ll give brainliest to the person who give me the correct answer and pointsss.
Match them

Answers

I think the y=ab^x goes with the first graph and the y=logbc goes with the second

Step-by-step explanation:

pictures

Will give brainliest

Answers

Answer:

between midnight and 3am i think

Step-by-step explanation:

General admission to the fair is $8.00, and rides cost $3.00 each.

Answers

What is the equation?

Answer:

$24.00

Step-by-step explanation:

8x3=24

Which number is a perfect cube?
O4
O 16
O 24
O 64

Answers

64 is a good number for a cube

Which graph represents a function?

Answers

Answer:

just the first on. upper left corner

the circled one (the first one)
it goes through the center (0,0) and it’s a straight line.

For which value of x is inequality 3(1+x)<+6true?

Answers

Answer: For in the inequality to be true, X must be less than or equal to 1. That represented as an in equality is X < 1.

x<1 true

Step-by-step explanation:

3(1+x)<+6= 3×1+3×X<+6=3+3x<6 then3x=6-3 solution 3x=3 devide by 3 both sides the answer is x=1 hence x<1 verified


please help!!!!
check for understanding:

Answers

Use Pythagoras’ theorem:
a^2+b^2=c^2
But we rearrange this formula to make it
c^2-a^2=b^2
So 25^2-15^2=b^2
625-225= b^2 = 400
You now need to find the square root of 400 to find the square root of b
sqrt of 400 is 20
So 20 is the missing length in this triangle

0/35-31/35-2/35= Reduce if possible

Answers

Hi!

I will write it like this to make it easier to see:

[tex]\frac{0}{35} - \frac{31}{35} - \frac{2}{35}[/tex]

Seeing this, we can right away take the [tex]\frac{0}{35}[/tex] away to make it easier, because 0/35 is 0. Now, we are left with:

[tex]-\frac{31}{35} - \frac{2}{35}[/tex]

Since the denominators (the 35s) are the same, we do not have to mess with those. We simply subtract the numerators (-31 - 2) and we get -33. Therefore, your answer is :

[tex]-\frac{33}{35}[/tex]

Hope this helps! Have a great day! :D

How much money will you spend on these items? Round to the nearest cent.
Shopping List:
2.75 pounds of grapes.
0.8 pounds of garlic
The grapes are $0.89 per pound.
The Garlic is $0.34 per pound. Please Help

Answers

Answer:

$2.72

Step-by-step explanation:

2.74x0.89=2.4475

0.8x0.34=0.272

2.447+0.272=2.719, rounded is 2.72

The equation of the blue line is y=-x+ 5. Manipulate the orange line by setting the sliders so its slope, m, is -1 and its y-intercept, b, is 5. Which statement describes the system after the changes? O The lines intersect at the same point as before the changes. O The lines intersect at a different point than before the changes. O The lines do not intersect. 0 The lines overlap.

Answers

I think it would be the first one because the y intercept is the same so that point doesn’t change, but if it includes the x axis then it would be the second one- you could also say that they overlap because they cross over each-other
Hope that helps :)

Answer:

D

Step-by-step explanation:

PLEASE HELP!! ASAP THANKS

Answers

B, is the correct answer :))))

Solve the equation logx = cosx to five decimal places by Newton Raphson method.​

Answers

Answer:

OK okokokokokokokokokokokok

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