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raketka [301]
3 years ago
7

Can someone do the whole thing

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

1

Step-by-step explanation:

y=mx+b,  equation for slope-intercept line

we can work out the equation based on given two points (1,1) and (7,4)

  • m=(y2-y1)/(x2-x1)= (4-1)/(7-1)= 3/6= 1/2

y=1/2x+b

For (1,1)

  • 1= 1/2+b ⇒ b= 1/2

For (7,4)

  • 4=7*1/2+b ⇒ b= 1/2

So we get

  • y= 1/2x+1/2

The answer is 1 for question mark

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It is the formula to find the longest line on a right triangle. for example, a squared plus b squared equals c squared. In this case, c must always be the line not relating to the right angel.
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alekssr [168]

Answer: C) 12.2

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

Explanation:

We have a known adjacent side (10) and an unknown hypotenuse (x). The cosine rule ties the two sides together.

cos(angle) = adjacent/hypotenuse

cos(35) = 10/x

x*cos(35) = 10

x = 10/cos(35)

x = 12.2077458876146 approximately

x = 12.2

Make sure your calculator is in degree mode.

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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

4 0
3 years ago
A runner increased her distance from 9 miles to 12.5 miles a week. Find the percent increase in mileage.
kondor19780726 [428]

Answer:

<u>39 percent</u> is increase in mileage.

Thus, the correct option is B. 39%.

Step-by-step explanation:

Given:

A runner increased her distance from 9 miles to 12.5 miles a week.

Now, to find percent increase in mileage.

Previous mileage = 9 miles.

Present mileage = 12.5 miles.

<em>Mileage increase = 12.5 - 9 = 3.5 miles.</em>

Now, to get the percent increase in mileage:

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Therefore, 39% is increase in mileage.

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4 0
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Given:

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If r is any rational number, then 3r^2-2r+4 is rational.

Step-by-step explanation:

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Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

3r^2-2r+4

It can be written as

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Now,

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r^2=r\times r is rational by Property 3.

3r^2\text{ and }-2r are rational by Property 3.

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So, 3r^2-2r+4 is rational.

Hence proved.

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