Work out the equation of the line shown below.

Give your answer in the form y = mx + c, where m and c are

integers or fractions in their simplest forms.

Work Out The Equation Of The Line Shown Below.Give Your Answer In The Form Y = Mx + C, Where M And C

Answers

Answer 1

to get the equation of any straight line, we simply need two points off of it, let's use those from the picture below.

[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{-100})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{140}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{140}-\stackrel{y1}{(-100)}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{(-10)}}} \implies \cfrac{140 +100}{30 +10} \implies \cfrac{ 240 }{ 40 } \implies 6[/tex]

[tex]\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}{(-100)}=\stackrel{m}{ 6}(x-\stackrel{x_1}{(-10)}) \\\\\\ y +100 = 6 ( x +10)\implies y+100=6x+60\implies {\Large \begin{array}{llll} y=6x-40 \end{array}}[/tex]

Work Out The Equation Of The Line Shown Below.Give Your Answer In The Form Y = Mx + C, Where M And C

Related Questions

What is the theoretical probability that an even number will be rolled on a number cube?

Answers

Answer:

out of 36 rolls, 15 were positive. 15/36 simplified is 5/12

Answer:

15/36 is the probability there i believe i might be wrong

Step-by-step explanation:

solve -2 ( x+2)=-12 help me plsssssssssssssssss

Answers

Answer:

x = 4

Step-by-step explanation:

-2 ( x+2)=-12

-2x - 4 = -12

-2x = -8

x = 4

I don’t understand and also any fake answers will be reported

Answers

The first graph shows the correct location of the points.

PLEASE HELP I HAVE NO CLUE WHAT IM DOING. Parents finna ground me if I don't do this tonight.

Answers

Answer:

First find x and y at given parameters:

x = (v₀cosθ)t = (123 cos60°)t = 61.5ty = h + (v₀sinθ)t - 16t² = 0 + (123 sin 60°)t - 16t² = 106.52t - 16t²

Maximum height is at vertex. Time is:

t = -106.52/-32 = 3.3 seconds

Maximum height is:

y = 106.52*3.3  - 16(3.3)² = 177.3 ft

Horizontal distance:

x = 61.5*3.3 = 203 feet

Time to hit the ground:

106.52t - 16t² = 016t = 106.52 (t = 0 is discounted)t = 106.52/16t = 6.7 seconds

Please help don't ignore
Determine if the number below is written in correct scientific notation, why or why not.
[tex]56.987 \times {10}^{5} [/tex]
No links
Don't answer if your not going to help ​

Answers

Answer:

a×10⁰ where (a the number) should always be less than 10

hope it helps :)

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Given:

The given quadratic equation is:

[tex]12a^2+9a+7=0[/tex]

To find:

The solution for the given quadratic equation in simplest form by using the quadratic formula.

Solution:

Consider a quadratic equation is defined as [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The given quadratic equation is:

[tex]12a^2+9a+7=0[/tex]

We have, [tex]a=12,b=9,c=7[/tex]. Using the quadratic formula, we get

[tex]x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}[/tex]

[tex]x=\dfrac{-9\pm \sqrt{81-336}}{24}[/tex]

[tex]x=\dfrac{-9\pm \sqrt{-255}}{24}[/tex]

[tex]x=\dfrac{-9\pm i\sqrt{255}}{24}[/tex]              [tex][\because \sqrt{-a}=i\sqrt{a}][/tex]

The solutions of the given equations are [tex]x=\dfrac{-9-i\sqrt{255}}{24}[/tex] and [tex]x=\dfrac{-9+i\sqrt{255}}{24}[/tex].

Hence, the correct option is B.

In a survey of 2000 people who owned a certain type of​ car, 1200 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

The percentage of people who are satisfied with the car are 60%.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that in a survey of 2000 people who owned a certain type of​ car, 1200 said they would buy that type of car again.

The percentage of people who are satisfied with the car are -

{x}% = (1200/2000) x 100

{x}% = (12/20) x 100

{x}% = 12 x 5

{x}% = 60

Therefore, the percentage of people who are satisfied with the car are 60%.

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6 = x +2y solve for y

Answers

Although we cant find y as a number, we can write y in terms of x. Subtract by x and divide by 2.
this answer is y=3 - x/2

7 1/2 / (4 1/2 - 5 1/8) =

Answers

Answer:

Negative twelve aka -12

Answer:

-12

Step-by-step explanation:

15/2 ÷ (9/2 - 41/8)

= 15/2 ÷ (36/8 - 41/8)

= 15/2 ÷ (-5/8)

= 15/2 × (-8/5)

= -120/10 or -12

choose sss, sas, or neither to compare these two triangles

Answers

Answer:

SSS

Step-by-step explanation:

We have three pairs of corresponding, congruent sides. Therefore, the SSS Postulate can be used to prove the two triangles congruent.

What is the perimeter of a square with an area of 256
cm2?
a. 16 cm
b. 32 cm
C. 64 cm
d. 128 cm

Answers

Answer:

C

Step-by-step explanation:

Since we know that squares have all equal sides the area of a square is just a side². So, we would square root 256 in order to find one side. And we know that there are 4 sides of a square so 16+16+16+16= 64. so the answer is C

what is 9.5 is what % of 50 i have a test tomorrow 1/11/23 and I dont understand it

Answers

The percentage statement is 9.5 is 19% of 50

How to determine the percentage

From the question, we have the following parameters that can be used in our computation:

9.5 is what % of 50

Complete the blank with x

So, we have the following representation

9.5 = x% of 50

So, we have

9.5 = x% * 50

Divide both sides by 50

0.19 = x%

Multiply both sides by 100

So, we have

x = 19

Hence, the solution is 19

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What is the 2 step rule in math?

Answers

The Two steps equation in mathematics are the equations that can be solved within exactly two steps.

What is a Two Step Equation ?

The Two Step Equation are the algebraic problems that  just take two steps to solve. It is a linear equation in one variable.

When solving the two step equation, we have to perform operation on both sides of the equation .

For Example : Solve [tex]2x+6=12[/tex] ;

Step1 : we Subtract -6 from both sides to isolate variable x.

⇒ [tex]2x + 6 - 6 = 12 - 6[/tex]

⇒ [tex]2x = 6[/tex]

Step2 : We Divide both the sides of equation by 2 and solve for x.

⇒ [tex]\frac{2x}{2} =\frac{6}{2}[/tex]

⇒ [tex]x = 3[/tex] ;

Therefore , the equation is solved in two steps .

The given question is incomplete , the complete question is

What is the two step equation in math ?

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Are the two triangles similar? Why or why not?

Answers

Answer:

yes

Step-by-step explanation:

cause they are both triangles duhhhh

Answer:

yes bc they both make a 90* TURN

Of the last 20 balloons sold at a party store, 2 were red. What is the experimental probability that the next balloon sold will be red? Write your answer as a fraction or whole number.​

Answers

Answer : 1 of 4 ( 1 of every 4 )
| ||||||||

I dont know sorry 2/4 or 18

Given right triangle ABC with altitude BD drawn to hypotenuse
AC. If AC = 27 and DC = 3, what is the length of BC?
27
D
3
B
X

Answers

Answer:

x=9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

i got it right

Is the following graph proportional or non proportional?
PLS HELP:((

Answers

It’s proportional because it goes through the origin

Answer:

Proportional

Step-by-step explanation:

Proportional, because the graph goes through (0, 0).  If the line crossed the y-axis elsewhere, the function would NOT be proportional.

Central Park in New York City is rectangular with a length of 2.5 miles and a width of 0.5 mile. During an afternoon, its population density is about 15 people per acre. Find the number of people in the park that afternoon. One acre is equal to 1640 square mile.

Answers

On solving the provided question, we can say that Surface Area of central park = 2.5 × 0.5 = 1.25 square mile

what is surface area ?

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Surface  Area of central park = 2.5 × 0.5 = 1.25 square mile

1 acre = 1/640 square mile

1.25 square mile = 1.25 ÷ 1/640 = 800 acre

Number of people in the park = 800 ÷ 15 = 53.3 ≈ 53 people

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PLEASE I NEED THIS!! Which quadrilateral(s) have the same attributes as a rhombus

Answers

Answer:

The correct answer is square and parallelogram

Explanation:

If you turn the rhombus around it will turn into a square

If (3, 7) and (7, −3) are the endpoints of the segment, find the equation of the perpendicular bisector of .

Answers

Answer:

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

Step-by-step explanation:

Concepts

⭐Perpendicular bisector of a segment

another line or segment that splits the segment in half and forms 90 degree anglesthe perpendicular bisector cuts through the midpoint of the segmentthe perpendicular has a slope that is the opposite reciprocal of the segment

⭐Midpoint formula

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex][tex](x_1,y_1)[/tex] is one coordinate on the line[tex](x_2,y_2)[/tex] is another coordinate on the line

⭐Point-slope form

[tex]y-y_1 = m(x-x_1)[/tex]m is the slope[tex](x_1,y_1)[/tex] is a coordinate on the linea way to write the equation of a line

⭐Slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex][tex](x_1,y_1)[/tex] is a coordinate[tex](x_2, y_2)[/tex] is another coordinate

⭐Slope-intercept form

[tex]y = mx + b[/tex]m is the slopeb is the y-intercept (the y-value for when x=0)StrategyFind the midpoint of the given segmentFind the slope of the given segmentWrite the equation of the bisector equation in point-slope formSubstitute the opposite-reciprocal of the given segment's slope into the bisector equationSubstitute the midpoint of the given segment into the bisector equationExpand & simplify the bisector equation to convert it into slope-intercept formWorking

1. Find the midpoint of the given segment

[tex]midpoint = (\frac{(x_1+x+2)}{2}, \frac{(y_1+y_2)}{2})[/tex]

[tex](x_1,y_1)[/tex] = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ midpoint  [tex](\frac{3+7}{2}, \frac{7+(-3)}{2})\\= (\frac{10}{2}, \frac{4}{2})\\= (5,2)[/tex]

2. Find the slope of the given segment

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x_1,y_1)[/tex]  = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ slope [tex]m = \frac{-3-7}{7-3}\\= \frac{-10}{4}\\= \frac{-5}{2}[/tex]

3. Write the equation of the bisector equation in point-slope form

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

4. Substitute the opposite-reciprocal of the given segment's slope into the bisector equation

The slope of the given segment is -5/2.

Therefore, the opposite-reciprocal of the given segment's slope is 2/5.

[tex]y - y_1 = \frac{2}{5}(x-x_1)[/tex]

5. Substitute the midpoint of the given segment into the bisector equation

midpoint = (5, 2)

[tex]y -2 = \frac{2}{5}(x-5)[/tex]

6. Expand & simplify the bisector equation to convert it into slope-intercept form

We need to convert  [tex]y -2 = \frac{2}{5}(x-5)[/tex] into [tex]y = mx + b[/tex] form.

[tex]y -2 = \frac{2}{5}x - \frac{2 * -5}{5}[/tex] . . . . . . . distribute the 2/5 into the parentheses

[tex]y -2 = \frac{2}{5}x - 2[/tex]      . . . . . . . compute

[tex]y = \frac{2}{5}x[/tex]                  . .  . . . .  add 2 to the LHS and RHS to isolate y

⭐if this response helped you, please mark it the "brainliest"!⭐

Consider the line =−−8x6y1.
What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

Below

Step-by-step explanation:

Well I can't really see the equation but I can tell you how to do it.

Parallel slopes are the same slope as the equation.

For example, y = mx + b

The slope of a line parallel to it is m

Perpendicular slopes are the opposite reciprocal as the equation.

For example, y = mx + b

The slope of a line perpendicular to it is[tex]-\frac{1}{m}[/tex]

Answer:

parallel: -8

perp: +1/8

Step-by-step explanation:

parallel lines have the same slopes

perp lines have opposite reciprocal slopes

87.5 - 23.4 *
O 64.1
O 110.9
054.1

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer....

1st Option : 64.1

Hope it helps!

Brainliest pls!

Follow me! ;)

What will be the output of 7 by 2?

Answers

The resultant output of  the given question is 7 by 2 is 14.

This is because 7 multiplied by 2 is equal to 14

When you multiply two numbers, the result is the product of the two numbers. In this case, 7 multiplied by 2 is equal to 14.

Mathematicians use the process of multiplication to calculate the product of two or more given numbers. It is a fundamental mathematical operation in maths that is frequently utilised in everyday life. When we need to combine groups of similar sizes or values , we utilise multiplication.

Hence the correct answer to the given question is 14 .

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What is sec 0 when tan 0 = V3? Đ. (1, 0) sec 0 = [?]​

Answers

Answer:

secθ = - 2

Step-by-step explanation:

Using the identity

sec²θ = 1 + tan²θ

          = 1 + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take the square root of both sides )

secθ = ± [tex]\sqrt{4}[/tex] = ± 2

Since secθ < 0 in the third quadrant , then

secθ = - 2


Given that AB is a line segment and the angle
y
= 67°, work out the value of the angle marked
x

Answers

Answer:

x = 113°

Step-by-step explanation:

AB is a line segment and hence it is a straight line which means it is a straight angle, so it is 180° .

y = 67°

x = ?

So, x + y = AB

=> x + 67° = 180°

=> x = 180° - 67°

=> x = 113°

Therefore, x = 113°

Hope it helps :)

PLEASE HELP!!! WILL GIVES BRAINIEST!! PLEASE SHOW YOUR WORK!!

Answers

Answer: 3% of 62 = 1.86

Explanation: 3% × y = 1.86 =>

y =

1.86 ÷ 3% =

1.86 ÷ (3 ÷ 100) =

(100 × 1.86) ÷ 3 =

186 ÷ 3 =

62

Please mark me brainiest

Answer:

0.0558

Step-by-step explanation:

3% is out of hundred so we multiply

3%×1.86=0.0558

Checking:

0.0558÷1.86=0.03

0.03=3%

A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest
having an altitude of 8849m. Calculate the value of ‘g’ at that point.

Answers

Answer: A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest having an altitude of 8849m. Calculate the value of 'g' at that point.

The period of this pendulum can be solved using the formula shown in the picture below. T is the period in seconds; L is the length in meters and g is the acceleration due to gravity which is equal to 9.81 m/s²near the equator.

T = 2 × π × (square root of 1.00 m / 9.81 m/s²)

T = 2 * 3.1416 * (square root of 0.101936799)

T = 6.2832 * 0.319275428

T = 2.00 seconds

The period of this pendulum correct to 3 significant figures is 2.00 seconds.

The frequency of this pendulum is solved by the formula f = 1/T

f = 1/2.00 seconds

f = 0.500 hertz

Answer: 9.76 m/s^2

Step-by-step explanation:

which choice is a correct congruence statement for the triangles?

Answers

Answer: Choice 3)  Triangle ACB = Triangle CAD

The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.

Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.

Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.

Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.

2) The function f(t) - 5t2 + 200 + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?​

Answers

Answer:

8 seconds

Step-by-step explanation:

if you graph the function, the difference between the zeros is 8

if you Decrease £200 by 12.5% what do you get?

Answers

Answer:

175

Step-by-step explanation:

Find how much is left by multiplying 200 by 0.875, since this will give you the remaining 87.5%:

200(0.875)

= 175

So, the answer is 175.

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