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Aleksandr-060686 [28]
3 years ago
8

5 less than twice a number

Mathematics
2 answers:
Dmitry [639]3 years ago
6 0

Answer:

2*x - 5

Step-by-step explanation:

Twice a number = 2 multiplied by some number (call it "x").

5 less than implies to subtract 5 from that "twice a number" result.

TiliK225 [7]3 years ago
3 0

Answer:

5 less than twice a number is 9. So, twice a number is 14.

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Which equation represents a line that is perpendicular to line PQ?
valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

3 0
3 years ago
Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
4 years ago
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
MakcuM [25]
The perimeter = 4 * length of a semicircle of radius 5 == 4*  pi * 5 =  20 pi cm



The area of one of the clear parts = 1/2 area of square - area semicircle

= 1/2 * 10^2  -  1/2 pi *5^2 = 50 - 12.5pi 

So area of shaded parts =  area of square -  4 (50 - 12.5pi)
 = 100 - 200 + 100pi = (100pi - 100) cm^2 
6 0
4 years ago
Find volume of the specified cone use 3.14 round number to the nearest whole number radius 9 in ,height 8 in
mixas84 [53]

Answer:

678 cu. in.

Step-by-step explanation:

hope this helps!

6 0
3 years ago
Read 2 more answers
12x-39<9 and -4x+3<-6
gulaghasi [49]
Remember, you can do anything to an equation as long as you do it to both sides


and when multiply or divide by a negative in inequalities, flip the direction of the sign

12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4



-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
4 0
4 years ago
Read 2 more answers
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