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marshall27 [118]
3 years ago
8

What is the approximate value of the hypotenuse?

Mathematics
2 answers:
Alenkinab [10]3 years ago
7 0

Answer:

the approximate value of the hypotenuse is 10.25 seconds

Step-by-step explanation:

Nat2105 [25]3 years ago
5 0

Answer:b

Step-by-step explanation:

b

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Factor the Polynomial by solving x^2 + bx + c = 0.<br><br> m^2 - mv - 56v^2
marissa [1.9K]

Factor the Polynomial by solving x^2 + bx + c = 0.

m^2 - mv - 56v^2

Factor by grouping.

(m−8v)(m+7v).

x^2 + bx + c = 0

x=\frac{-a+\sqrt{a^{2-4c} } }{2} , x=\frac{-a-\sqrt{a^{2-4c} } }{2}

7 0
2 years ago
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
If f(x) = 3x + –, what is f(a+ 2)?
svetlana [45]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
A family of four want to go to Cat Island.But their boat only can fit two individuals if they are BOTH children. How do all four
oksian1 [2.3K]
Im not sure but maybe 1 adult and one child but im not sure if this is a trick question

5 0
2 years ago
Read 2 more answers
A van has room for 6 students and 2 teachers . How many vans are needed for a total of 48 students and 16 teachers ?
LekaFEV [45]
48 ÷ 6 = 8

16 ÷ 2 = 8

So you need 8 vans

I hope that helps!
5 0
3 years ago
Read 2 more answers
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