3. A straight line passes through two points with
coordinates (6,8) and (0,5).
Work out the equation of the line.

Answers

Answer 1

Answer:

Step-by-step explanation:

Find the slope of the line

(x₁ , y₁) = (6 , 8)   & (x₂ , y₂) = (0 , 5)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}[/tex]

m = 1/2  ;(x₁ , y₁) = (6 , 8)

y - y₁ = m(x - x₁)

[tex]y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5[/tex]


Related Questions

Which is the graph of the equation?
(x-1)^2/3^2 + y^2/4^2=1

Answers

Answer: C

Step-by-step explanation:

The center is at (1,0). This eliminates all the options except for C.

A shopkeeper buys TVs for Nu 15000 and marks them up 15% to sell them. What is the mark up amount? *​

Answers

[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]

Markup amount is 2250Nu

UR SO COOL IF UOU ANSWERRR PLEASE ANSWERRRR

Answers

Answer:

1/6 is less than 1/2

Step-by-step explanation:

1/6 is close to 0

8/9 is close to 1

1/6 is less than 1/2

evaluate the expression when x=11 and y=35 x+y/7​

Answers

when x= 11

or,y= 35x +y/7

or,y= 35×11+y/7

or,y=(385×7+y)/7

or,7y=2695+y

or,7y-y =2695

or,y=2695/6

or, y = 449.167

Who can help me with problem 2 you can earn 11 points

Answers

Answer:

m∠ADC = 90°

5x-5 = 90

x = 19

Step-by-step explanation:

Please show work

Determine the value of each variable

Answers

9514 1404 393

Answer:

  k = 56°

Step-by-step explanation:

If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...

  2b +a = 180°

from which we get ...

  a = 180° -2b

  b = (180° -a)/2

__

The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.

The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.

  k = 56°

_____

We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.

The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.

Help me out hhhhhhhjjnjnfd

Answers

since its the same you will have to multiple it all to get the answer

Because the corresponding angles are the same in degree each side of the triangles are simply scaled. If you take 15/9 then you can use that number and multiply the other two sides of the small triangle.

Help would be greatly appreciated

Answers

Answer:2/pi

Step-by-step explanation:

First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.

Choose the graph that correctly corresponds to the equation y = −4

Answers

Answer:

e

Step-by-step explanation:

the graph should look something like this

what is six times a number is greater than 12

Answers

Answer:

6n>12

Step-by-step explanation:

n represents the number.

So 6 times the number would be 6*n or 6n.

Greater than 12 is >12

I hope this helps!

Circle A: center (-4, 0) and radius 6
Circle B: center (11, 0) and radius 4
Which of the following transformation is performed from circle A to circle B?

Answers

Answer:

Circle a must be translated (x+15, y+0) and then dilated by 4/6 in order to get circle b.

HELPPPPP MEEEEEEEEEEEEEEEE

Answers

Answer:

V = 20,000 - 2,000t

Can someone help me with this. Thx

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

[tex]\boxed{\boxed{\sf{ x=5~and~y=-5 }} }[/tex]

The answer will be X=5 Y=-5

Solve the system algebraically.
2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0

Answers

Answer:

Let 2x + y - 10 = 0 be equation (a).

Let x - y - 5 = 0 be equation (b).

Make y the subject in equation (b):

[tex]{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}[/tex]

Substitute for y in equation (a):

[tex]{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}[/tex]

Find y in any equation of your choice:

[tex]{ \tt{y = (5) - 5}} \\ y = 0[/tex]

hope this helps! I used substitution method! feel free to clarify!

What is this expression in simplified form?
3v3.676
A.
5472
B.
54
C.
18V3
D.
1872

Answers

Answer:

The answer is A. 54 (sqrt)2

Step-by-step explanation:

Factor the polynomial function over the complex numbers.

f(x)=x^3+2x^2+5x+10

Answers

Answer:

[tex]{ \tt{f(x) = (x + 2)(x + 2.2i)(x - 2.2i)}}[/tex]

What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9

Answers

Answer:

A. log9 3=x

Step-by-step explanation:

The logarithmic form with base 9 is log₉ 3 = x.

The correct option is A.

The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.

The logarithmic form with base 9 is log₉ 3 = x.

Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.

The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).

In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.

Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.

To learn more about the logarithms;

brainly.com/question/28346542

#SPJ6

Abram completes one lap of a go-cart track every 40 seconds. Joshua completes one lap of the same track every 30 seconds. Suppose Abram and Joshua cross the starting line at the same time.
a. How many seconds will pass before they cross the starting line at the same time again?
b. How many laps will Abram have completed in that time?
c. How many laps will Joshua have completed in that time?​

Answers

Answer:

Below in bold.

Step-by-step explanation:

a. This is the Lowest common multiple of 30 and 40 which is

120 seconds.

b. In 120 seconds Abram had completed 120/40

= 3 laps.

c.  Joshua completed 120/30 = 4 laps.

Answer:

Step-by-step explanation:

A, Lowest common mutiple of 30 and un is 120 seconds

(40x3 = 120, 30x4 = 120)

6.120/40 = 3 laPs Abram did 3 laps.

L. 120/30 = u laPs Jeshya did u laps

The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object's distance from the center of the circular path: . Solve the formula for r.

Answers

Answer:

v = √ar

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION;

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r

the given formula is (a= v^2/ r) .....eqn(1)

Where

a=centripetal acceleration

r = object's distance

We were told to find velocity (v)

From eqn(1) we can cross multiply, then we have

a.r=v^2 ...................eqn(2)

Then we can make (v^2) the subject of the formula, we have

(v^2) = ar

We can make "v" subject of the formula, then we have

v = √ a*r

Answer:

r = v^2/a

Step-by-step explanation:

Find the measure of the indicated angle.

Answers

Answer: 88 - 180 =? ÷2

Step-by-step explanation:

99, 159, 219, ___. To find the next number after 219, we should a. Add 69 to 219 b. Subtract 60 from 219 c. Add 60 to 219 d. Add 40 to 219

Answers

Answer:

C

Step-by-step explanation:

99+60=159.

159+60=219

219+60=279

PLEASE HELP!! would this be symmetric or reflexive property?

Answers

Answer:    It's "reflexive" because the equation is equal on both sides

Step-by-step explanation:         The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)

Hope this helped!!

square of (1\4A+1\4B)^2

Answers

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

6) Given that the point (3, −10) lies on the graph of a function , what point must be on the graph of ℎ
where ℎ() = ( − 4) + 2?

Answers

Answer:

(7,-8)

Step-by-step explanation:

Given

(x,y) = (3,-10)

Required

The equivalent point on h(x) = k(x - 4) + 2

(x,y) = (3,-10) means

k(3) = -10

Substitute 7 for x in h(x)

h(7) = k(7-4) + 2

h(7) = k(3) + 2

Substitute -10 for k(3)

h(7) = -10 + 2

h(7) = -8

So, the equivalent point on h(x) is

(7,-8)

I needddd help it’s urgenttttt!!!!

Answers

Answer:

135

Step-by-step explanation:

First find the measure of CBF

CBF is a straight line so therefore it measures 180*

BFE = 75*

CBD = 45*

75 + 45 = 120*

180 - 120 = 60

60 + 75 = 135*

Therefore DBF measures 135*

Sam buys a carpet for his apartment. The diagonal length of the carpet is 12 feet and the width is 10 feet. Find the length of the carpet.

Answers

Answer: 6.633 Feet

Step-by-step explanation:

1. Which of the following expressions are equivalent to? Select all that apply. A. 31 . 36 B. 31 . 35 C. 3-2 . 3-4 D. 32 . 3-8 E. 3 • 3-6 F.3-1 . 3-5 ​

Answers

Answer: A and C

Step-by-step explanation:

need some help with this​

Answers

Answer:

soy de ecuador p-by-step e

Solve The Inequality

Answers

Answer:

Step-by-step explanation:

Answer is c

C is the answer Cs when u when the number I will see

multiply x2- 5x + 2 times 3x2 +2x + 3

Answers

Answer:

Step-by-step explanation:

(x² - 5x + 2)*(3x² + 2x + 3) =x²*(3x² + 2x + 3) - 5x *(3x² + 2x + 3) + 2*(3x² + 2x + 3)

=x²*3x² + x²*2x + 3*x² - 5x *3x² - 5x * 2x - 5x*3  +2*3x² + 2*2x + 2*3

= 3x⁴ + 2x³ + 3x² - 15x³ - 10x² - 15x + 6x² + 4x+6

= 3x⁴ + 2x³ - 15x³  +3x² - 10x² + 6x²  -15x + 4x + 6

= 3x⁴ - 13x³ - 7x² - 11x + 6

When multiplying terms, multiply the coefficients and if same variables are there, then add the powers.

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