Which expression(s) are factors of -15abc - 45ab + 20abc?

Answer:

x = 5, x = 7

Step-by-step explanation:

tangents from an external point to a circle are congruent , then

x² = 12x - 35 ( subtract 12x - 35 from both sides )

x² - 12x + 35 = 0

(x - 5)(x - 7) = 0

equate each factor to zero  and solve for x

x - 5 = 0 ⇒ x = 5

x - 7 = 0 ⇒ x = 7

Answer:

Step-by-step explanation:

then simplify

The mode of the given data is equal to bowls of spaghetti.

Given the following data:

In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.

Read more on mode here: https://brainly.com/question/542771

Answer:

4 and 3/5

Step-by-step explanation:

answers are at down

Step-by-step explanation:

The perimeter of a triangle is 31 cm. Sides #1 and #2 have equal length, while Side #3 is one centimeter shorter than twice the length of Side #1. Let's determine how long each side is: a. Let x represent the length of Side #1. What essential part of this "let" statement is missing? What is the length of Side #2? Side #3? b. Write a mathematical sentence that states that the perimeter is 31 cm. c. Solve the equation you found in part (b) and determine the length of each side. Be sure to label your answers with the appropriate units.

Answer:

  8 cm, 8 cm, 15 cm

Step-by-step explanation:

The given relationships between the sides can be used to write an equation. Let s represent the length of side 1. Then side 2 has a length that is also s. Side 3 has length (2s-1). The perimeter is the sum of the side lengths:

  s + s + (2s -1) = 31

  4s = 32 . . . . . . . . . . collect terms, add 1

  s = 8 . . . . . . . . . . divide by 4

  (2s -1) = 2·8 -1 = 15

The side lengths are ...

Answer: D'(3, 6), E'(0, 12), F'(3, -3)

Step-by-step explanation:

Answer:

Distribute Property

Step-by-step explanation:

In the first expression, 7 is the only coefficient of i in the second term, and 5 is the only coefficient of i in the first term. The rewritten sum would simplify to -3i +7i +4i+5i.

Answer:

The distance between -1,12 and -1,-3 is 15

Step-by-step explanation:

Simplify-

Multiply −1 by −1.

√(−1+1)^2 + ((−3) −12)^2

Add −1 and 1.

√0^2 + ((−3) −12)^2

Raising 0 to any positive power yields 0.

√0 + ((−3) −12)^2

Subtract 12 from −3.

√0 + (−15)^2

Raise −15 to the power of 2.

√0 + 225

Add 0 and 225.

√225

Rewrite 225 as 15^2.

√15^2

Pull terms out from under the radical, assuming positive real numbers.

=15

Answer:

8 cm²

Step-by-step explanation:

Since the Volume of Cuboid = Base Area * Height

Then 24=Base Area * 3

Base Area = 24/3 = 8 cm²

Answer:

8

Step-by-step explanation:

24 = volume

3 = height

24/3 = 8, is the base area.

Answer:

2x^2+7x and 8y+3x

Step-by-step explanation:

Okay for the first one when you combine like terms you are adding the ones with the same terms so the ones that have X in it you add, the one with Y you add so it would be

2x+6x=8x ----> 8x-5x=3x

5y+3y=8y so

8y+3x

same thing for the other one so the answer is:

2x^2+7x

Answer:

your answer is

180-(51+39)=

180 - 90=90°

BC =90°

Hello.

There are really 2 ways to think about the given problem.

First, we can use the slope formula:

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{-6-(-2)}{-9-(-9)} =\frac{-6+2}{-9+9} =\frac{-4}{0} =[/tex]

Slope = undefined

The second way is to just take a look at the points.

You should notice that the x-coordinates are the same.'

If the x-coordinates are the same, then the slope is

[tex]\Large\boxed{Und.efined}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

undefined

Step-by-step explanation:

the x-coordinates are the same look

Answer:

12i

Step-by-step explanation:

2i×2i=4i

4i×3i=12i

Answer:

17 units

Step-by-step explanation:

See the attached image

A: The plane is going 525 miles per hour.

B: In 13 hours the plane will travel 6,825 miles.

Answer:

(a)  [tex]\sf 450 \ miles \ per \ hour[/tex]

(b) 675 miles in [tex]\sf 1\frac{1}{2} \ hours[/tex]

explanation:

(a)

unit rate:

[tex]\sf \dfrac{total \ distance}{total \ time}[/tex]

[tex]\sf \dfrac{2100}{\sf 4\frac{2}{3}}[/tex]

[tex]\sf \dfrac{2100}{\sf \dfrac{14}{3}}[/tex]

[tex]\sf 450 \ miles \ per \ hour[/tex]

(b)

distance: speed * time

distance: [tex]\sf 450 \\[/tex] * [tex]\sf 1\frac{1}{2}[/tex]

distance: 675 miles

Answer:

It's 12

Step-by-step explanation:

8 divided by 2/3 is 12

hope it helps

Answer:

12

Step-by-step explanation:

8 / (2/3) = 8 x (3/2) = 24/2 = 12

The shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

The given equation for ball height

[tex]=6+30t-16t^{2}[/tex]

The equation for the blocker's height will be

[tex]=9+25t-16t^{2}[/tex]

But, the shot is made before two-tenths of a second or 0.2 seconds therefore modified equation for ball height is

[tex]=6+30(t-0.2)-16(t-0.2)^{2}[/tex]

Now for the shot to be blocked, the height of the shot-blocker must be greater than the height of the ball which is shot before 0.2 seconds :

[tex]9+25t-16t^{2} \geq 6+30(t-0.2)-16(t-0.2)^{2}[/tex]

[tex]9+25t-16t^{2} \geq6+30t-6-16(t^{2} -0.4t+0.04)[/tex]

[tex]9+25t-16t^{2} \geq30t-16t^{2} -6.4t+0.64[/tex]

[tex]9+25t\geq36.4t-0.64[/tex]

[tex]9.64\geq11.4t[/tex]

[tex]t \leq \dfrac{9.64}{11.4}=0.846[/tex]

Thus the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

To know more about the Equation of motions follow

https://brainly.com/question/25951773

Answer:

C

shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

Step-by-step explanation:

On edge

Answer:

The slope is 11/5 or 2.2, gimme that brainliest

Answer:

D

Step-by-step explanation:

First of, let's make a table for y = cos(x)

(x , y): (0 , 1) (π/2 , 0) (π , -1) (3π/2 , 0) (2π , 1)

Now, making a table for y = 2cos(x) is simple. We just have to multiply all the y-values from the previous table by 2.

(x , y): (0 , 2) (π/2 , 0) (π , -2) (3π/2 , 0) (2π , 2)

Graphing these coordinates, we find that the answer is D.

Answer:

circumference 69.08 area 379.94

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

We can start by factoring out an a from all 3 terms:

= a (1 + 2 - 3)

We can evaluate 1 + 2 - 3 as 0:

= a(0)

Anything multiplied by 0 is 0, therefore 0a = 0.

Answer:

4x10=40

It will lose 40% pressure after four minutes

It will lose 40% pressure after four minutes

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

We have been given that a bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilo-pascals. We are asked to find the tire pressure in 4 minutes.

We will use exponential decay formula to solve our given problem.

[tex]y = a(1\pm r)^m[/tex]

Let us convert 10% into decimal.

0.01

Initial value is 1,060 . Upon substituting our given values in above formula, we will get:

y = 1,060 (1 - 0.01)^4

Therefore, the tire pressure will be approximately 40% kilo-pascals in 4 minutes.

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ2

Hey there!

Is 4/3 greater than 9/9?”

Well…
4/3

= 4 ÷ 3

= 1.333333333333333

9/9

= 9 ÷ 9

= 1

4/3 > 9/9

Thus, your answer: YES 4/3 is GREATER THAN 9/9

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

y = -6x + 4

Step-by-step explanation:

=> y = -6x + 4

according to the image drawn the line appears to have landed on the y-axis on the number four and the x-axis on the number -6 so we have to make y the subject of formula

=. y = -6x + 4

Answer:

It does seem to be worded slightly off

Answer:

Range => y ≤ -2

Domain => All real numbers

Step-by-step explanation:

As it extends horizontally either way, domain can be any possible value.

Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.

Step-by-step explanation:

-6y×-2=+12y

5x×-2=-10x

12×-2=-24

=0