Write the slope-intercept form of the equation of the line described.
5. through (-2,-3), perp. to y=2x+2

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

Answer:

Choice A

Step-by-step explanation:

..............36.8 dm

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Answer:

(0,-23)

Step-by-step explanation:

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

X+2

F(x) +3

Answer:

1 4/45

Step-by-step explanation:

Answer:

i think its 58824.5

Answer:

#1 .   12.5%

#2.   18.75%

#3.   19%

Step-by-step explanation:

2  / 16  x 100% = 12.5%

15 / 80  x 100% = 18.75

38 /200  x 100%= 19%

Answer:

the answer is 632

Step-by-step explanation:

just do some normal multiplication. :)  

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

Answer:

i think its B but i'm not 100 percent sure sorry if im not but i think i am

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

You l*w is the area.

Answer:

The answer to this question is A. 8(3/5*1/4).

Answer:

b

Step-by-step explanation

i think

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Answer:

Step-by-step explanation:

Change in height:

Percent of change:

Correct choice is B

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

Answer:

Attached file

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

to find how much hours dan played the equation would be:

d = 2s - 4

to find the total:

s + d = 17

hope this helps :)

Answer: ABOVE

Explanation: This is what you did to countless others

Answer:

Slope =  - 1

Step-by-step explanation:

(x₁ , y₁) = (7,4)   & (x₂, y₂) = (5, 6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]

Answer:

D

Step-by-step explanation:

yeah

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ6

Answer:9.135

Step-by-step explanation: I had have this answer

Answer:

9.135

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

1 is obtuse one is acute

Answer:

1. Given

2. Vertical angles

3. Transitive

4. Corresponding Angles

Step-by-step explanation:

1. Number one is given because it is the statement that is given

2. Number two is vertical angles because they are two opposite angles that are formed by the same lines. The statement also says they are congruent, which is true of vertical angles.

3. From the given answers 3 must be transitive because <2=<4 and <2=<6. Although alternate interior angles is also an appropriate answer.

4. Number four must be corresponding because they are on the same side of the intersection of the lines, so they are both in the top right. Also, the statement says they are congruent which is true of corresponding angles.

Answer/Step-by-step explanation:

If the Diver started at 85 3/4 below sea level (-85 3/4 from sea level.) And he descends more you have to find the difference between two distances.

In order to get to -103 1/5, how much was subtracted from the original distance of -85 3/4. To solve this use an inverse operation. Find the absolute value of the new distance and add the original distance from sea level.

I -103 1/5 I + -85 3/4 = 103 1/5 - 85 3/4 = 17.45.

The distance from each value is I 17.45 I So, the diver descended another 17.45 meters from sea level.

Answer: All of thé above

Step-by-step explanation: