A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer 1

Hello there! :)

First, let’s find the slope.

We can find it using this formula:

m=y2-y1/x2-x1

m=7-6/8-4

m=1/4

So the slope is 1/4.

Now, we can use the point-slope formula:

y-y1=m(x-x1)

y-6=1/4(x-1/4)

Hope it helps. :)

~MagicalNature


Related Questions

solve pls brainliest

Answers

Answer:

76%

Step-by-step explanation:

to make this a percentage we need to make the denominator 100. luckily 25*4=100, so multiply 19/25 by 4/4 to get 76/100. so our percentage is 76

Answer:

76%

Step-by-step explanation:

percent is out of 100, so 19*4/25*4=76/100=76%

Solve the equation for X:
4x2 + 15x = 4

Answers

Answer:

15x=-4

Step-by-step explanation:

answer this
help me with this question.​

Answers

Answer:

i cant read the handwriting

Step-by-step explanation:

Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?

Answers

Answer:

there is no graph though

please help me in questions 16 and 17 only and i’ll mark you as brainliest i promise

Answers

Answer:

16. Domain: [-3,5] and range : [-5,3]

17. Domain: [0,4] and range: [0,4]

Help!! (Question in picture)

Answers

Answer:

  A, B, C are perfect squares. Their roots are 22, 66, 89.

  D is not a perfect square. The root is about 94.995

Step-by-step explanation:

Your calculator can help. The integer is a perfect square if its square root is an integer.

  A. √484 = 22 . . . . 484 is a perfect square

  B. √4356 = 66 . . . . 4356 is a perfect square

  C. √7921 = 89 . . . . 7921 is a perfect square

  D. √9024 ≈ 94.9947... . . . . not a perfect square

__

Additional comment

When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.

For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.

If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.

So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)

please explain this got a final tomorrow

Answers

Answer:

9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8

Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!

Answers

The proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

The given figure showing ΔABE ≅ ΔDCE is in the image attached below.

We know that:

E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.

E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.

∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.

This means that ΔAEB and ΔDEC have:

two pairs of congruent sides - AE ≅ ED and BE ≅ EC

one pair of congruent included side -  ∠AEB ≅ ∠CED

Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.

If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.

Therefore, AB∥CD by the CPCTC Theorem.

Thus, the proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

Learn more about the CPCTC Theorem on:

https://brainly.com/question/14706064

Find the area of the shaded portion.
6
120

Answers

Answer:

A = 36√3 - 12π

Step-by-step explanation:

Make 2 identical 30-60-90 triangles out of the "wedge"

For each 30-60-90 triangle:

Since the short leg is 6 the long leg is 6√3

short leg is the base and long leg is the height

a = (1/2)bh

a = (1/2)(6)(6√3)

a = 3(6√3)

a = 18√3

Since there are 2 triangles

a = 36√3

--------------------------------

Then subtract off the area of the 120º sector

a = (120/360)πr^2

a = (1/3)π(6^2)

a  = (1/3)π(36)

a = 12π

Shaded area

a = 36√3 - 12π

Step-by-step explanation:

we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).

since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.

basically, the area of a triangle is

1/2 × b×c × sin(A)

A being the angle between the 2 sides b and c. for any 2 sides of the triangle.

one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.

we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.

remember, the sum of all angles in a triangle is 180 degrees.

so, via the law of sines we can then calculate all sides :

a/sin(A) = b/sin(B) = c/sin(C)

with the angles being opposite of the sides.

6/sin(30) = baseline/sin(90)

6/0.5 = baseline/1

12 = baseline

top side² + 6² = 12²

top side² = 12² - 6² = 144 - 36 = 108

top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.

the area of the 2 triangles is then

6×sqrt(3)×6×sin(90) = 36×sqrt(3)

and the circle segment to be deducted is

pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12

so, the complete answer is

A = 36×sqrt(3) - 12×pi

its urgent please. my assignment is due in like 30 minutes

Answers

Answer:

( iii)

a-x/a+x =b

a-x=b(a+x)

a-x=ab+ax

a-ab=ax+x

a-ab=x(a+1)

a-ab/a+1=x(a+1)/a+1

x=a-ab/a+1

x=a(1-b)/a+1

Guys need help with c,f,g,j

Answers

Answer:

Step-by-step explanation:

2.5(10x +8) + 3x distributive property

Answers

Answer:

23/25

Step-by-step explanation:

(25x+20)/25x+3x/25x

20+3/25=23/25

28x+20

Step-by-step explanation:

[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]

Find values of x and y

Answers

Answer:

x=15

y= 21

Step-by-step explanation:

6x-11+x+5+81=180

6x+x+86-11=180

7x+75=180

-75. -75

7x=105

--- ----

7. 7

x=15

substitute the x value we just got into the following equation to find y

4y-18+y+14+6x-11=180

4y-18+y+14+6(15)-11=180

4y+y+14+79-18=180

5y+75=180

-75 -75

5y=105

---- -----

5. 5

y=21

a string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters long. How many pieces were cut from the 27.2-metres string ?

Answers

Answer:

There are 8 pieces of string cut

Explanation:

27.2 ÷ 3.4 = 8

Find the radius of the button.

A circular button with a diameter of 5 centimeters.

Answers

Answer:

r = 2.5 cm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 (d)

r = 1/2 (5)

r = 2.5 cm

what is 6/2(1+2)=?give with expiation

Answers

Step-by-step explanation:

6/2 (1+2) = 3(3) = 9.

hope this helps you.

Answer:

9

Step-by-step explanation:

First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9

X=


A. 30

B. 70

C. 110

D. 130

Answers

Answer:

Step-by-step explanation:

the answer is D)130 hope it helps

evaluate 10-(5-(4-(8-2))​

Answers

=》The answer is 3.

Steps are in the attachment.

______

Hope it helps :)) ⚜

Answer:

The answer is 3

Step-by-step explanation:

By using PEMDAS, calculate the parenthesis first.

10-(5-(4-(8-2))

10-(5-(4-6)

10-(5-(-2)

10-7

= 3

Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?
(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.
(B) A sample of size 25 will produce less variability of the estimator than a sample of size 50.
(C) A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.
(D) A sample of size 25 will produce a more biased estimator than a sample of size 50.
(E) A sample of size 25 will produce a less biased estimator than a sample of size 50.

Answers

Using the Central Limit Theorem, it is found that the correct option is:

(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.

By the Central Limit Theorem, for a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], considering the sampling distribution of sample means of size n, the measure of variability is the standard error, which is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

Hence, the higher the sample size, the lower the variability, and option A is correct.

A similar problem is given at https://brainly.com/question/24663213

If -2 is a zero of P(x) = 2x²- 3x( 5k+4) then k = ____.

Brainly Challange for high level user.​

Answers

Answer:

k = - [tex]\frac{16}{15}[/tex]

Step-by-step explanation:

Since x = - 2 is a zero , then p(- 2) = 0 , that is

2(- 2)² - 3(- 2)(5k + 4) = 0

2(4) + 6(5k + 4) = 0 ← distribute parenthesis

8 + 30k + 24 = 0

30k + 32 = 0 ( subtract 32 from both sides )

30k = - 32 ( divide both sides by 30 )

k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]

Given Polynomial P(x) = 2x^2-3x(5k+4)

Zero = -2

We know that

If -2 is zero of the Polynomial then it satisfies the given Polynomial

⇛P(-2) = 0

⇛ 2(-2)^2-3(-2)(5k+4)=0

⇛ 2(4)+6(5k+4) = 0

⇛ 8+30k+24 = 0

⇛ 30k+32 = 0

⇛ 30 k = -32

⇛ k = -32/30

⇛ k = -16/15

Answer:- The value of k = -16/15.

Read more:

Similar Questions

If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k...

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Write the coefficient of i) x3 in 2x + x2 – 5x3 + x4 ii) x2 in (π/3) x2 + 7x – 3 iii) x in √3 - 2√2x + 4x2 Q3. If p(y) = 4 + 3y – y2 + 5y3, find (i) p(0) ii) p(...

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Translate to an algebraic expression

1. double a number increased by one is seventeen

2. Three less than a number is twelve

3. Triple a number is the same as double the number increased by five

4. Double a number increased by two is the same as the sum of the number and eight

Answers

Answer:

1) 2n + 1 = 17

2) n - 3 = 12

3) 3n = 2n + 5

4) 2n + 2 = n + 8

Step-by-step explanation:

Use "n" to represent the unknown number.

For question one:

we double the number → 2n

then we increase (add) by one → + 1

is (equal) to seventeen → = 17

For question two:

three less (minus) than a number is (equals) twelve → n - 3 = 12

Question three:

triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5

Question four:

double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8

Is that the correct answer for it please help me. I want to past my ecam

Answers

Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation:

the 120 grams powdered milk make 12 cups of milk. how many kilograms of powdered milk can produce 60 cups of milk. how many liters is 60 cups of milk?

Answers

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

7,200 divided by 10 to the power of 2

Answers

Answer:

51840

[tex] 51840[/tex]

Answer:

518400

Step-by-step explanation:

7200 ÷ 10 is just the zero less:

= 720

Then

720 × 720 =

+1440

+5040

=518400

Is the point (3,2) a solution of the equation?

Answers

Step-by-step explanation:

no cause 3/2 can't be changed

The two lines graphed below are not parallel. How many solutions are there to the system of equations? 5 3 O A. Two O B. Zero O C. Infinitely many O D.One
pls help ill give brainliest to whoever gets it right​

Answers

Answer:

D

Step-by-step explanation:

BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all

Answers

Answer:

Some answers for #4 I think!

a = 36

b = 90

c = 36

d = 90

e = 54

Sorry if they are wrong I tried my bestest!

I'm stuck on question 6 + (-20.5)

Answers

Answer:

Step-by-step explanation:

First you put the negative sign away for the end and then you switch the problem to 20.5 - 6. Then you put the 0.5 away for later too. 20 - 6 is equal to 14. Then you add the 0.5 back to the number. So it is equal 14.5 and the you put the negative sign back on to get the final answer of -14.5.

!!!!5 step plan!!!!!

The width of a rectangle is 5 cm more than twice the length the perimeter is 56 cm find the dimensions of the rectangle

Answers

Answer:  W = 20 1/3, L = 7 2/3 cm

Step-by-step explanation:

Width, W, is 5 cm more than twice the length of the perimeter.

Perimeter = 2W + 2L

W = 2L+5

Perimeter is 56cm:

56 cm = 2W + 2L

Substitute W = 2L + 5 for W:

56 cm = 2W + 2L

56 cm = 2(2L+5) + 2L

56 cm = 4L + 10 + 2L

6L = 46 cm

L = 7 2/3 cm

Since W = 2L + 5

W = 2(7 2/3) + 5

W = 2 (23/3) + 5

W = 46/3 + 5

W = 15 1/3 + 5

W = 20 1/3

2W + 2L = P?

2(20 1/3) + 2(7 2/3) =56 ?

40 2/3 + 15 1/3 = 56?

56 = 56  YES

please I need help solving the equation, -2/5c < 9

Answers

Answer:

c > -22 1/2

Step-by-step explanation:

Step 1: Multiply both sides by -5/2 and flip the sign.

[tex]-\frac{2}{5}c * -\frac{5}{2} < 9 * -\frac{5}{2}[/tex]  [tex]c > -\frac{45}{2}[/tex]  [tex]c > -22\frac{1}{2}[/tex]

Therefore, the answer is c > -22 1/2.

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