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4 years ago

7

Multiple the sum of a number and 3 by the difference of 8 and the number

1 answer:

Whitepunk [10]4 years ago

6 0

Answer:

-n^2 - 5n + 24

Step-by-step explanation:

Let the number be n.

Then the sum of that number and 3 is n+3.

The difference of 8 and the number is 8 - n.

Then we get the expression (n + 3)(8 - n).

Performing the indicated multiplication, we get:

8n - n^2 + 24 - 3n, or

-n^2 - 5n + 24

Nothing more can be done, as this is not an equation, but rather an expression.

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One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

So

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

3 years ago

Doreen lives 3/4 mile from the library. Sheila lives 1/3 AS FAR AWAY FROM THE LIBRARY AS DOREEN.

alexdok [17]

What's the question that needs to be solved and I will help?

3 0

4 years ago

:) Find the area of the triangle.

Tomtit [17]

Base times height, and then dives what you got by 2

8 0

3 years ago

Read 2 more answers

Mike and Ike are twins. Mike’s age is one more than twice a certain number. Ike’s age is 10 less than triple that same number. F

Misha Larkins [42]

Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3

Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10

what are their present ages

find M and N

substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:

4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14

M = 2(14) - 3 = 28 - 3 = 25

Mike is 25 and Nuke is 14.

check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10

4 0

3 years ago

The ratio 25:45 in simplest form is

stepladder [879]

25/45=(5∗5)/(5∗9)=5/9

5/9 is the answer.

5 0

3 years ago

Read 2 more answers