A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.

Answer:

Hi!

Step-by-step explanation:

-5 (x-3) + 3(4 - x) + 2x

Let's distribute the -5 within its parentheses.

A negative multiplied by a negative number has a positive result.

Let's distribute the 3 within its parentheses.

-5x+15+12-3x+2x

Combine like terms...

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

15+12=27

-6x+27

Both numbers are divisible by 3...

3(-2x+9)

or -3...

-3(2x-9)

Answer:

<a=32

<b=40

<c=40

Step-by-step explanation:

to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be

180-50=130

after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180

130+18+a=180

a=180-148

a=32 and that's how you find a

to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180

18+90+B=180

B=180-108

=72

since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72

c=72-32

=40

then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40

I hope this helps

Answer:

The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4).  Just connect the dots to make the triangle.

Let me know if anything did not make sense.  

Step-by-step explanation:

Reflect just means how far away is each point to the line of reflection?  then ake a new point the sae distance, but in the opposite direction.  You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.

So the three points are A:(3,1), B:(5,1) and C:(3,4)

Now use a horizontal line to measure how far A, B and C are from x=2.

A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left.  so (3,1) becomes (1,1)  The y value does not change since you are only using the horizontal direction for reflection.  B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)

Now the second reflection is the exact same process, but witht he new points reflected across x = -3.  So the new points are (-7,1) (-5,1) and (-7,4).

Step-by-step explanation:

Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles

x + y = 180

x = 3y - 4

3y - 4 + y = 180

4y = 184

y = 46

x = 134

Answer:

30°，150°

Step-by-step explanation:

Answer:

A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.

Step-by-step explanation:

We have the equation:

|8 - 2*p| = 6

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

or

f(x) = -A

Then for our case, we can rewrite:

|8 - 2*p| = 6

as:

(8 - 2*p) = 6

or

(8 - 2*p) = -6

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

8 - 2*p = 6

8 - 6 = 2*p

2 = 2*p

2/2 = p = 1

so one solution is  p = 1

Now from the other equation, we can get the other solution:

(8 -2*p) = -6

8 - 2*p = -6

8 + 6 = 2*p

14 = 2*p

14/2 = p = 7

So the two solutions are p = 1 and p = 7

Then the correct option is:

"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."

Answer:

(6x^2)(x^4 +x^2 + 1)

Step-by-step explanation:

6x^6 + 6x^4 + 6x^2

split it up into parts

6x^6 = (6x^2) * x^4

6x^4 = (6x^2) * x^2

6x^2 = (6x^2) * 1

so you can take out 6x^2 to get

(6x^2)(x^4 +x^2 + 1)

Answer:

Step-by-step explanation:

I can't give you either B or D, but I can calculate the answer.

2^5

=====

(2^5)(3^5)  

The 2^5s cancel out.

1

===

3^5

Another answer could be 3^-5

or

0.004115

hopefully this answer can help you to answer the next question.

Answer:

hhghhhhhhhhh

Step-by-step explanation:

yyyyjuiynrjdjf

9514 1404 393

Answer:

  a) 11 cm

  b) 20 cm

Step-by-step explanation:

A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.

  a) s = (1/4)(44 cm) = 11 cm

  b) s = (1/4)(80 cm) = 20 cm

Answer:

increasing spread epidemics your outlook

Answer:

the awnser is d 1000 pediatricians

Answer: About 6.321 cm

Step-by-step explanation:

[tex]tan(x)=\frac{opposite}{adjacent}[/tex]

[tex]tan(36)=\frac{x}{8.7} \\\\x=8.7*tan(36)=6.3209...[/tex]

HI THERE

the answer is -6

#YoghurtCup

Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

Answer:

x < [tex]\frac{15-3a}{a-4}[/tex]; a > 4

a < [tex]\frac{4x+15}{x+3}[/tex]

Step-by-step explanation:

ax+3a < 4x + 15

ax - 4x < 15 - 3a

x( a -4) < 15 - 3a

x < [tex]\frac{15-3a}{a-4}[/tex]

ax + 3a < 5x + 15 -x

ax + 3a < 4x + 15

a( x + 3) < 4x + 15

a < [tex]\frac{4x+15}{x+3}[/tex]

Answer:

x <  (15 - 3a) / (a - 4). ( only true if a > 4)

a < (x + 15)/x

Step-by-step explanation:

a(x + 3) < 5x + 15 - x

ax + 3a < 5x + 15 - x

ax  - 5x + x < 15 - 3a

ax - 4x < 15 - 3a

x(a - 4) < 15 - 3a

Dividing both sides by (a - 4):

x <  (15 - 3a) / (a - 4)

a < (x + 15)/x

Answer:

47.746, answer choice C

Step-by-step explanation:

47.746

I hope it's right have a great day :)

Answer: 5 by 12

Step-by-step explanation:

Let's call the dimensions of the rectangle w and w+7

The area is 60, so we can do 60=w(w+7)

60=w^2+7w

w^2+7w-60=0          factor the quadratic equation

(w-5)(w+12)=0

w-5=0, w=5

w+12=0, w=-12

Since the length of a rectangle cannot be negative, w=5

the dimensions of the rectangle are 5 and 12

Answer: X = 1/4 or X = -1

Step-by-step explanation:

4x2+3x−1=0

(4x−1)(x+1)=0

4x−1=0 or x+1=0

4x=1 or x=-1

Now divide 4 from both sides

like this 4x/4=1/4

now cancel out two 4's so the answer will be x=1/4

Answer: D) 10

Step-by-step explanation:

All angles in a triangle adds up to 180°

60° + 50° + 7x = 180°

7x = 180° - 60° - 50° = 180°- 110° = 70°

x = (70 ÷ 7)° = 10°

Answer:

ab+bc+ac=47

Step-by-step explanation:

(a+b+c)=12

Square both sides

a^2+b^2+c^2+2(ab+bc+ac)=144

2(ab+bc+ac)=94

ab+bc+ac=47

Answer:

ab + bc + ca = 47

Step-by-step explanation:

Using the algebraic identity

(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then

12² = 50 + 2(ab + bc + ca)

144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides

94 = 2(ab + bc + ca) ← divide both sides by 2

47 = ab + bc + ca

a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480

b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500

I hope I helped you^_^

Step-by-step explanation:

Bob's salary : $35000 per year plus 10% after one year

100% = 35000

1% = 100%/100 = 35000/100 = $350

10% = 10×1% = 10×350 = $3500

so in total, his salary will be $35000+$3500 = $38500 after one year.

Sam's salary : $3842.42 per month plus 5% after one year.

100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.

so, 100% 12×3842.42 = $46109.04

1% = 100%/100 = 46109.04/100 = $461.09

5% = 5×1% = 5×461.09 = $2305.45

so, in total, his salary will be $46109.04+$2305.45 = $

Answer: g(x) = (1/2)3^-x  reflection over y axis yields (-x,y)

Answer:

1. John still has 3 Apples

2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).

3. If the * is multiplying:

John now has 25937228,2 Apples.

Step-by-step explanation:

Just use the calculator.