If we used the points (1,8) and (2,16), what is the slope?

Identify the graph described by the function p(x)=x/10 for x=1,2,3,4

san4es73 [151]

Answer:

Graph A is correct

Step-by-step explanation:

p(x)= x/10

x= 1, 2, 3, 4

Plug in x values in p(x)

when x=1 , then P(1) = 1/10

When x=2 , then P(2) = 2/10

When x=3 , then P(3) = 3/10

When x=4 , then P(4) = 4/10

In the graph y axis has 2/10 , 4/10 , 6/10...

1/10 lies between 0 and 2/10

3/10 lies between 2/10 and 4/10

Graph A is correct

7 0

4 years ago

A 100 foot ladder is leaning against a tree so that the top of the ladder is 96 feet above the ground. How far is the base of th

ahrayia [7]

Answer:The base of the ladder from the tree is 28ft

Step-by-step explanation:

Using pythagorean theorem

Let 100ft= hypothesis is the right angle triangle

Let 96ft be the height of the ladder

Let x be the base of the right angle triangle between the base of the ladder and the tree

h^2=a^2+b^2

100^2=96^2 +b^2

10,000=9216 +b^2

b^2=10,000-9216

b=sqrt(784)

b=28ft

8 0

4 years ago

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(Segment Proofs)

Anni [7]

Answer:

It's proved below

Step-by-step explanation:

We are given;

- K is the midpoint of JL

- M is the midpoint of LN

By definition of mid points, we can say that;

JK = KL and LM = MN

Now, we are given that JK = MN.

Thus, by substitution, we can deduce that; KL = LM

Thus is because JK can be replaced with KL and MN can be replaced with LM.

Thus, it is proved that KL = LM

4 0

3 years ago

A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate

neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

$C-2=\frac{1}{11}*(C+D-2)...(1)$

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

$C=\frac{1}{7}*(C+D+4)...(2)$

Upon substituting C's value from equation (2) in equation (1) we will get,

$\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)$

Let us have a common denominator on right side of equation.

$\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)$

$\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)$

Multiplying both sides of our equation by 7, we will get,

$7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)$

$C+D-10=\frac{7}{11}*(C+D-2)$

Multiplying both sides of our equation by 11, we will get,

$11*(C+D-10)=11*\frac{7}{11}*(C+D-2)$

$11*(C+D-10)=7*(C+D-2)$

$11C+11D-110=7C+7D-14$

$11C-7C+11D-7D=-14+110$

$4C+4D=96$

$4(C+D)=96$

$(C+D)=\frac{96}{4}$

$(C+D)=24$

Therefore, the total number of Munchkins in original box is 24.

3 0

3 years ago

The Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK

fiasKO [112]

Answer:

17%

Step-by-step explanation:

to find the percentage of something, you have to fill out the following formula:

x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:

125x = 2125

then you have to divide, to single out x:

the answer is 17

so it is 17%

3 0

3 years ago

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