Simplify the expression

Answer:

Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.

Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5

Step-by-step explanation:

In point slope form the slope and y-intercept can be read directly from the equation.

y = mx + b where m is the slope and b is the y-intercept.

The median of the data is: 7

Answer:

supplement = 152°

Step-by-step explanation:

If the complement is 62° , then

angle = 90° - 62° = 28° ( Complementary angles sum to 90° )

Supplementary angles sum to 180° , then supplement of 28° is

180° - 28° = 152°

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

Answer:

125

Step-by-step explanation:

x^3

Let x=5

5^3

5*5*5

125

Answer:

solve for k,  k=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

k=-1

Step-by-step explanation:

First step: Distribute

Result: -6-3k-6k=6+3k

Second step: Combine like terms

Result: -6-9k=6+3k

Third step: Add 6 to both sides

Result: -9k=12+3k

Fourth step: Subtract 3k from both sides

Result: -12k=12

Final step: Divide by -12 to both sides

Result/Answer: k=-1

Side note:

Hopefully this helps!

5 m/s · 12 s = 5 m · 12 = 60 m

Answer: in 12 seconds that car has gone 60 metres.

Answer:

A car travels at a constant rate of 5 metres per second.

That means that for every second,the car travels 5m/s.

The question is asking you for how far the car travelled after 12 seconds.Muntiply 12 to bottom and top.

5m/1s*12/12=60/12

The car travels 60 metre in 12 seconds

hope this helps to u and don't forget to mark me as brainliest

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Answer:

? = 120, ? = 145, respectively

Step-by-step explanation:

? + 60 = 180

? (+ 60 - 60) = 180 - 60

? = 120

35 + ? = 180

(35 - 35) + ? = 180 - 35

? = 145

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

Answer:

5

Step-by-step explanation:

15-10=5

Answer:

Answer is 18 degrees.

Step-by-step explanation:

Answer:

(9 + r)/6

Step-by-step explanation:

Answer:

The length of the feild is:

    (42 / 3) x 5 = 70m

So the length of the feild is 70m

Hope it helps, Brainliest  please <3

Answer:

b

Step-by-step explanation:

the answer is 0.7272727273 in total

This is the number 27 thousand

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

Explanation:

There are three slots and 30 choices per slot. Repeats are allowed.

So there are 30*30*30 = 27,000 different locker combos.

Answer:

It D hope this is right

Step-by-step explanation:

I'm learning this in class right now and I'm pretty good at it so hope you get it right

Answer:

D. a reflection over the y-axis

Step-by-step explanation:

We can see that ΔQRS has been directly translated across the y-axis to form ΔQ'R'S'. (It mirrors across)

Step-by-step explanation:

I hope it helped U

Answer:

a = -5

Step-by-step explanation:

IF A = -5

6 ( - 5 ) + 9

- 30 + 9

-21

-21 is less than -15 so it works

Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

Answer:

marke me as brainly please

Step-by-step explanation:

we would calculate the line of sight between the 2 lasers.

then we would create a line that goes through the middle point between the 2 lasers and is perpendicular to the line between the lasers. if we are lucky, then "You" is on the same perpendicular line. if not, we need to shift our starting point to a point where the perpendicular line hits the wall of the room.

by following that perpendicular line precisely, we we always have the same distance from both lasers.