what is the slope of the line shown below (6, 6) (1, -4)

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

Answer:  C. a set of input values

The domain is the set of allowed x values, aka input values.

With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.

Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.

Other types of domain problems can occur, but those two types are most common in my experience.

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

Answer:

-9

Step-by-step explanation:

11+15u=-7+13u

or, 15u-13u = -7-11

or, 2u = -18

or, u = -9

Answered by GAUTHMATH

Answer:

It's rational number

Step-by-step explanation:

if a number is non stop it is irrational

it a number stops as it stopped here at 1 so it's a rational number

Answer:

Rational

Step-by-step explanation:

It's a decimal with no recurring digits:)

Answer:

Approximately 9.2

Step-by-step explanation:

For right triangle, if you know 2 sides, you can find the third using pythagorean theorem, a^2 + b^2 = c^2. 'a' and 'b' are the lengths of the legs, while 'c' is the hypotenuse. You can plug in what you know into this formula:

9^2 + 2^2 = c^2

81+4 = c^2

c = √85, or approximately 9.2

Answer:  Choice C

(-19/2, -33/2)

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

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

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

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]

It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.

Also No effect as we assumed rotation is being with respect to origin.

Finally, translate it down to 2 units.

Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

Answer:

300

Step-by-step explanation:

Just because it makes sense.

Answer:

300

Step-by-step explanation:

Just because it makes sense. and you would get the answer that i did as well

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

Answer:

B

Step-by-step explanation:

f(x)=(x+3)2 3 units to the left

f(x)=(x-3)2 3 units to the right

f(x)=(x)2+5 upward 5 units

f(x)=(x)2-5 downward 5 units

D. 2x⁶y²

This is the equivalent expression.

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

Answer:

0.01 pounds

Step-by-step explanation:

A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

Answer:

200

hope it help

Answer:

160

Step-by-step explanation:

got it right

Answer:

y=5

Step-by-step explanation:

f(x) =5 is a line with the equation y=5

when reflected over the y-axis is still y= 5, because we reflected on to itself.

Answer:

a. p(orange) = 5/14

b. p(green) = 3/14

c. p(red) = 1/7  

d. p(brown) = 2/7  

e. p(brown or red) = 3/7

Step-by-step explanation:

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.

p(color) = (number of pencils of that color)/(total number of pencils)

p(color) = (number of pencils of that color)/14

a. If a pencil is picked at random, what is the probability that the pencil

will be orange?

p(orange) = 5/14

b. If a pencil is picked at random, what is the probability that the pencil

will be green?

p(green) = 3/14

c. If a pencil is picked at random, what is the probability that the pencil will be red?

p(red) = 2/14 = 1/7

d. If a pencil is picked at random, what is the probability that the pencil

will be brown?

p(brown) = 4/14 = 2/7

e. If a pencil is picked at random, what is the probability that the pencil

will be brown or red?

brown: 4

red: 2

brown or red: 4 + 2

p(brown or red) = 6/14 = 3/7

Answer:

No it is not a collection of well defined and distinct objects

Hope this helps <3

Answer:

67.5

Step-by-step explanation:

Answer:

the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.

Step-by-step explanation:

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

Answer:

48w +2

Step-by-step explanation:

Perimeter of a rectangle=2( length+width)

=2(15w-1+9w+2)

=2(24w+1)

=48w+2

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

Answer:

nice answer

Step-by-step explanation:

true because there is every assurance that you might lose or win

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)

Answer:

10

Step-by-step explanation:

If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

- 32 = 8n

Cross multiplying we get

n = -32/8

n = -4

Answer:

Step-by-step explanation:

Because it is a 45-45-90 triangle

b=5

a= 5[tex]\sqrt{2}[/tex]

Answer:

Part 1: Find w

w=15

Step-by-step explanation:

Part 1: Find w

Step 1:

3w+15=60. If this is true, then first: Subtract 15 from both sides.

Result: 3w=45

Step 2:

3w=45. If this is true, now: Divide by 3 to both sides.

Result/Answer: w=15.

Answer:

Part 2: If w=15, then what is 8w2+8w+9?

8w2+8w+9= Well I have 2 options. If you mean 8w^2+8w+9, then the answer is 14529. If you mean 16w+8w+9, then the answer is 369.