1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Delicious77 [7]
3 years ago
12

Use slope formula to find the missing coordinate. (r, 1) and (5, -7) Slope = 8/3

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

r=8

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

Substitute in what we know.

8/3 = (-7-1)/(5-r)

Simplify

8/3 = -8/(5-r)

We can use cross products to help us solve.

8 * (5-r) = 3 * (-8)

divide each side by 8

8/8 * (5-r) = 3 * (-8)/8

5-r = -3

Subtract 5 from each side

5-r-5 = -3-5

-r = -8

Multiply by -1

r = 8

You might be interested in
If the volume of a sphere is equal to the volume of a cube, what is the ratio of the edge of the cube to the radius of the spher
Pachacha [2.7K]

Answer: The answer is (C) 1.61.

Step-by-step explanation: Given that the volume of a sphere is equal to the volume of a cube. We are to find the ratio of the edge of the cube to the radius of the sphere.

Let, 'r' be the radius of the sphere and 'e' be the edge of the cube. Then, the volume of the sphere is given by

V_s=\dfrac{4}{3}\pi r^3,

and the volume of the cube is

V_c=e^3.

According to the question, we have

V_s=V_e\\\\\Rightarrow \dfrac{4}{3}\pi r^3=e^3\\\\\\\Rightarrow \dfrac{4}{3}\times\dfrac{22}{7}r^3=e^3\\\\\\\Rightarrow 88r^3=21e^3\\\\\Rightarrow 4.44r=2.75e\\\\\Rightarrow \dfrac{e}{r}=\dfrac{4.44}{2.75}\\\\\Rightarrow e:r=1.61.

Thus, the correct option is (C) 1.61.

4 0
3 years ago
How to get the minimum and maximum temperature​
sukhopar [10]

Put them in order from lowest to highest. Identify the lowest number in the data set, as well as the highest number. Subtract the lowest number in the set from the highest number. The resulting value is the range of the set of temperature values.

6 0
3 years ago
Factorise x squared + 4x + 3 ​
olganol [36]
<h3>Answer:  (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

  • add to 4
  • multiply to 3

There are two ways to multiply to 3 and they are

  • 1 times 3 = 3
  • -1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

8 0
3 years ago
Algebraically find three consecutive positive integers such that the square of the first is equal to the third.
dexar [7]
Your numbers are 2, 3, 4.

The three consecutive numbers are x, x+1, x+2
The square of the first equals the third so x^2=x+2
Solve this quadratic as x^2-x-2=0
Factor into (x+1)(x-2)=0
So your answers are x=-1 and x=2
Since the question says they’re positive integers, use x=2
So the numbers are 2, 3, 4
7 0
3 years ago
Name the identical triangles and measurement of side BA
aalyn [17]

Step-by-step explanation:

BE/BC=BD/BA

tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.

4/(4 + 10) = 5/(5+X) Cross Multiply

4(5+x) = 5(4+10)m

20 +4x=20 +50 subtract 20 from both sides

4x = 50 divide by 4

x =12.5

4 0
3 years ago
Other questions:
  • Flora made 7 withdrawals of $60 each from her bank account. What was the overall change in her account?
    7·2 answers
  • What is the area of a rectangle with length 1/12ft and width 3/3 ft
    8·1 answer
  • The sum of the three consecutive numbers is33 more than the smallest of the number. Find the numbers
    15·1 answer
  • Julie planted a rectangular garden that is 20 feet long. She placed 56 feet of fencing around her garden. Draw and label a sketc
    11·1 answer
  • 5c(3c squared) to the third power
    12·1 answer
  • What points do I graph the image of the rotation on?
    6·1 answer
  • The sum of x and -15 is 23
    5·2 answers
  • Whats the numerical number for 5
    7·1 answer
  • 6 1/3 - 5 4/9 what is this answer?​
    12·2 answers
  • Hey I need to know how to get standard form from two coordinates. I need this asap.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!