2. What is the slope and the y-intercept of the
table? Show your work.
Slope =
y-intercept =

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

Answer:

C

Step-by-step explanation:

4a+10=180

4a=170

a=42.5

42.5*2=85

Answer: C. 85.0 degrees

Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

To learn more about Census, click on the link given here :

https://brainly.com/question/9372289

#SPJ1

Answer:

100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

while there are only 2 pairs of whole numbers that multiplied together will be 15:

Answer:

m1=51

supplementary angles so 180-129=51

m2=34

all triangles add up to 180, we know the other 2 angles we can find m2: 51+95=146, then 180-146=34

m3=95

vertical angle

m4=38

again, all triangles add up to 180, and we know the other 2 angles so we can simply add those together and subtract them from 180: 95+47=142, then 180-142=38

m5=47

vertical angle

m6=76

must find angle 7 first(see below), now you have two angles of the triangle so we do the same thing as m4 and m2: 45+59=104, 180-104=76

m7=59

supplementary angle again so 180-121=59

Answer:

b

Step-by-step explanation:

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer:

a₆ = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus

a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer

Hope this helps!

Answer:

74.52

Step-by-step explanation:

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Answer:

Step-by-step explanation:

P = pizza slices

S= soda drinks

98 = 23*P + 31*S

Answer:

25x^14

Step-by-step explanation:

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

Work Shown:

(1 inch)/(3.5 miles) = (x inches)/(77 miles)

1/3.5 = x/77

1*77 = 3.5*x ..... cross multiply

77 = 3.5x

3.5x = 77

x = 77/3.5

x = 22

22 inches on paper correspond to 77 miles in real life.

Answer: C) 127, 152.4, 182.88, 219.456,...

Step-by-step explanation:

You can only find the sum of an infinite geometric sequence if it converges.

One criterion to see if the series converges is if:

aₙ < aₙ₋₁

This means that, as n increases, the value of the terms decreases.

This means that as n tends to infinity, aₙ tends to zero.

Then we only can find the sum of those series where the terms are decreasing.

in A, B and D the terms are decreasing, then we can find the sum of those 3 series.

Now in the case of C, the terms are increasing, then we can not find the sum of that series.

Answer: -8 points

Step-by-step explanation:

From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.

Her total points now will be the addition of -5 and -3. This will be:

= -5 + (-3)

= -5 - 3

= -8

Note that minus multiplied by plus is minus.

Answer: -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = [tex]\frac{4}{3}[/tex]

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

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

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   [tex]\frac{4}{3}[/tex]  = [tex]\frac{-3 - x}{2 - 5}[/tex]

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!

Answer:

Erik's chips are a better buy by 10 cents per ounce

Step-by-step explanation:

Erik's chips cost by ounce: $0.32

Al's chips cost by ounce: $0.42

Sorry if this didn't help. This is my first answer

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Answer:

She put in $7.50

Step-by-step explanation: