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Nonamiya [84]
3 years ago
9

Using Desmos.com or the Pythagorean Theorem find the distance between points A and B rounded to the nearest tenth.

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

B. 8.6

Step-by-step explanation:

Given:

Draw a right angled triangle ABC as as shown below.

From the triangle \Delta ABC,

Calculate the number of units from A to C and from C to B, we get

AC = 7 units and BC = 5 units.

Now using Pythagorean Theorem,

AB^{2}=BC^{2}+AC^{2}\\AB^{2}=(7)^{2}+(5)^{2}\\AB^{2}=49+25\\AB^{2}=74

Taking square root on both sides, we get

\sqrt{AB^{2}}=\sqrt{74}\\AB=8.6

Therefore, the distance between points A and B rounded to the nearest tenth is 8.6 units.

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Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

Student loan                          $17,900

Total debts                             $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0
3 years ago
Joan took her three children to the zoo. Admission is $7 each. The snack bar sells water for $2 per bottle and chips for $3 per
lys-0071 [83]

The expression for the total cost of their trip is 7 + 2x + 3y.

As per the question, assuming the number of bottles to be x and number of bags to be y. The equation will have one time fee of admission, product of cost of bottles and number of bottles and product of cost of bags and number of chips bags.

The one time fee and two products will be added to form the expression. Forming the equation now -

Expression = 7 + 2x + 3y

Therefore, the expression of trip when x bottles of water were bought during the visit is 7 + 2x + 3y.

Learn more about expression -

brainly.com/question/723406

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8 0
11 months ago
The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even
Irina-Kira [14]

Answer:  translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C)  horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

3 0
3 years ago
What's X?<br> Please help me and explain
ANTONII [103]

Answer:

60 degree

Step-by-step explanation:

E,A,D is a straight line .

Straight line=180 degree

100+20=120 -180=60

therefore X=60

8 0
3 years ago
Which of the following is a solution of 4x2 = − 9x − 4?
mestny [16]
The solution is -0.609611 and -1.64, I do not think you can simply find this by factoring but the only way is graphing it
8 0
3 years ago
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