What is the equation of the line that passes through the point (4,-6) and has a slope of -5/2?


Please I’m desperate I already tried and it was wrong I’ll mark Brainlist

Answers

Answer 1

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer 2

Answer:

Use the point-slope form of a linear equation:

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

where:

[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on line

Given:

[tex]m=-\dfrac52[/tex][tex](x_1,y_1)=(4,-6)[/tex]

Substitute given information into the equation:

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

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]


Related Questions

What resolution should images for a nature magazine have?
neutral
high
low

Answers

Answer:

high

Explanation:

The owner of a food cart sells an average of 60 frozen treats per day during the summer. Which graph best shows the relationship between the number of days and the number of frozen treats sold?
A) A
B) B
C) C
D) D

Answers

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

What is graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

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7) There are 260 athletes at a meeting.
How many handshakes were there?

Answers

Answer:

130

Step-by-step explanation:

Assuming everyone handshakes at the meeting. There will be 130 handshakes in total.

It takes 2 people to handshake, and thus to find the number of handshakes we need to do 260/2=130

130 total handshakes

Hope this helps ^^

there are 130 because if yiu divided 260 by each of the groups tibether all of them would dived to 269

I toss a coin more then 60 times and i comes down tails 40% of the time. How many heads did i toss

Answers

Answer:

36.

Step-by-step explanation:

100 - 40 = 60%  of heads.

60% = 0.60.

60 * 0.60 = 36.

PLS HELP ME I WiLL MARK THE BRAINLIEST

Answers

Answer:

look at analysis

Step-by-step explanation:

1. 152

2. 200

3. 10857

4. 123.4

5. 1848

Can someone please tell me the rest of the answers?

Answers

Answer:

35 miles per hour.

223 minutes to reach destination.

Step-by-step explanation:

It's counting down by 35

35 miles per hour.

260/35=7.42857142857

7.42857142857*30=222.857142857

Rounding to nearest whole number

223

SonicIsCoool

On Scratch you tube, Inst and much more here to help :)

What is the measure of \angle D∠Dangle, D?

Answers

Answer:

135⁰

Step-by-step explanation:

As in cyclic quadrilateral sum if opposite angles is equal to 180⁰

Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.

Answers

Answer: D

Step-by-step explanation:

There are two pairs of congruent angles.

The two triangles FGH and  JKL are similar to each other by Angle-Angle property. Hence, option D is correct.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

In the given figure we can see that the two triangles FGH and  JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.

Hence, option D is correct.

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PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.

Answers

Answer: 36.2

Step-by-step explanation:

what is 3 × 2/7 in lowest terms​

Answers

Answer:

6/7

Step-by-step explanation:

3x2/7 in the same as 3/1x2/7, which is 6/7

(simply multiply the denominator and numerator of the fraction)

Answer: hii <3

Exact Form:

6/7

Decimal Form:

0.857142

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew

Zack looks at the clock and sees the hands have made a 90° angle. He realizes he has 2 hours before basketball practice starts. Which could be the angle formed by the hands of the clock when practice starts?

Answers

The angle formed by the clock is its degree measure

The angle formed by the hands of the clock when practice starts is 30 degrees

How to determine the possible angle?

The current angle is given as:

Angle = 90 degrees

The basketball practice starts at:

Practice = 2 hours earlier

An hour in time represents 30 degrees.

So, the angle formed when the practice starts is

Angle = 90 degrees - 2 * 30 degrees

Evaluate

Angle = 30 degrees

Hence, the angle formed by the hands of the clock when practice starts is 30 degrees

Read more about angle measures at:

https://brainly.com/question/24775470

Five years ago, Julie was 4 feet 7 inches tall. Her sister Carrie was 5 feet 1
tall. Since then, Carrie has grown 2 inches each year. Julie grew 13 inches
during the last 5 years. How much taller than Julie is Carrie now?

Answers

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

What is the difference in height?

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

To learn more about subtraction, please check: https://brainly.com/question/854115

Which of the following is the name for a hollow depression in which drainage collects?(1 point) 1.cave 2.sinkhole 3.v-shaped valley 4.canyon​

Answers

Answer:

sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil

Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

Answers

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]

Then add 180 degrees, then we have

[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]

Then the value of the cosine will be

[tex]\cos 160.52^o=-0.9428[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

-2√2/3

Step-by-step explanation:

edge 22

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12, 10, 8,.........

This is______sequence and the _______is equal to _________.

Answers

Answer:

Step-by-step explanation:

This is an arithmetic sequence and the common difference = - 2

You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple

a minus common difference produces a sequence that goes down.a plus common difference produces a squence that goes up.

You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.

A geometrice sequence would use multiplication or division to get from one term to the next.

Tickets to the aquarium cost $6 each for children and $16 each for adults. A large group purchased a combination of both tickets. If they purchased c child tickets and a adult tickets, write an expression for the total amount they paid in factored form.

Answers

Answer:

6c + 16a = T :)

Step-by-step explanation:

We only know how much the cost for the children is, 6, so we put a variable c after it :)

We only know how much the cost for the adults is, 16, so we put a variable a after it :)

I put T to show a varibale for the total :)

Have an amazing day!!

Please rate and mark brainliest!!

Write the fraction as a decimal. (3 points) five tenths a 0.5 b 0.05 c 5.0 d 1.5

Answers

The answer is .5. 5/10 which is .5

What is the value of x?



Enter your answer in the box.

Answers

Answer:

27

Step-by-step explanation:

These shapes are mathematically similar as line BR and QC are parallel.

To find the scale factor:

First we find the length of BD by adding 26 and 39:

26+39 = 65

So to get from BD to BQ :

We multiply by :

26/65 = 0.4

So to get from RD to CD:

We do

18÷0.4 = 45

Then we subtract 18 from 45 to get x:

45-18 = 27

Therefore the value of x is 27

Set of common divisors of 50 and 75

Answers

Ones in red are common ones

1,5,25

A customer will choose one card to buy a random. Based on the data in the table, which statement is true? Help!

Answers

The answer to it is that J is true.

Work in groups of 4 to find the areas of these regular polygons.
12
14

Answers

(14x2.5)/2=x
35/2=x
17.5=x
The answer is 17.5

picture explains
asdasdasd

Answers

Answer:

Yes, AB is tangent

Step-by-step explanation:

The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.

Use Pythagorean to verify

20² = 16² + 12²400 = 256 + 144400 = 400

Confirmed

Answer:

AB is tangent to the circle

Step-by-step explanation:

The tangent of a circle is always perpendicular (at a right angle) to the radius.  Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).

Pythagoras Theorem

  [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given:

a = 12b = 16c = 20

Substitute the given values into the formula:

[tex]\implies 12^2+16^2=20^2[/tex]

[tex]\implies 144+256=400[/tex]

[tex]\implies 400=400[/tex]

Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.

FUN QUESTIONS OF MATHETICS FOR BOREDISH PEOPLE:
3x3?
4x5?
8x9?
7x3?

Answers

Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!

Step-by-step explanation:

Determine the equation of the parabola that opens up, has focus (−2,7), and a focal diameter of 24.

Answers

Answer:

[tex] \sf{(x + 2)}^{2} = 24(y -1) [/tex]

Step-by-step explanation:

Given:

focus(h,k)= (−2,7)

Focal Diameter (Latus rectum) = 24

To find:

Equation of parabola= ?

Solution:

Focal Diameter also known as letus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.

Focal Diameter = 24

[tex]4p = 24 \\ p = \cancel\frac{ 24}{ 4} = 6 \\ \fbox{p = a = 6}[/tex]

Now to find the equation of parabola we need the vertex(h,v).

Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of letus rectum.

Now,

[tex] \sf \: (h,v) = (h,k-p) \\ \sf \: (h,v)= (-2,7-6) \\\sf \: \fbox{ (h,v) = (-2,1)}[/tex]

Equation of parabola

[tex]\sf{(x-h)}^{2} = 4a(y - v)[/tex]

Substituting the cordinate of vertex in above equation,

[tex] \sf{(x - (-2)}^{2} = 4 \times ( 6)(y-1 ) \\ \sf{(x + 2)}^{2} = 24(y -1)[/tex]

This is the final answer.

Thanks for joining brainly community!

Question 2
Which function is equivalent to f(x) = -5(x + 4)2 + 8?
F(x)=-5x2-40x-32
F(x)=-5x2+8x+88
F(x)=-5x2-40-72
F(x)=-5x2+8x+24
( the 2 is squared)

Answers

Step-by-step explanation:

-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =

= -5x² - 40x - 80 + 8 = -5x² - 40x - 72

so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.

Simplify each radical expression. Use absolute value symbols when needed. (13 is the question number)

Answers

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

This graph plots the number of wins last year and this year for a sample of professional football teams.

Based on the line of best fit, which is the BEST prediction for wins this year for a team that won 4 games last year?


2

4

5

7

Answers

Answer:

5 won 4 games last year . This is the best prediction based on the lime fit

(1+sint)/(cost)-(cost)/(1-sint)

Answers

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]

Multiply through the second term by [tex]1+\sin(t)[/tex] :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]

Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]

If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]

and this simplifies to

[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]

im stuck lol i just need a answer

Answers

Answer:

131 here is the answer and your welcome

Easy question! First one to answer gets brainliest!

2x + 5 = 21

Answers

[tex]2x + 5 = 21[/tex]

Subtract both sides 5

[tex]2x + 5 - 5 = 21 - 5[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

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

[tex]x = 8[/tex]

Answer:

8

Step-by-step explanation:

To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.

⇒ [tex]2x + 5 = 21[/tex]

⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]

⇒ [tex]2x = 16[/tex]

The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.

⇒ [tex]2x = 16[/tex]

[Cooeficient of x is 2]

⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]

⇒ [tex]x = \frac{16}{2} = 8[/tex]

In conclusion, the value of the "x" variable is 8.

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