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3 years ago

What is the length of the longest side of a triangle that has vertices at (7, 6), (7, 1), and (-5, 6)?

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

8 0

I believe the answer is b, which is 13 units

iren2701 [21]3 years ago

7 0

Answer: The Answer is going to be B.

Step-by-step explanation:

We can find the distance between each pair of points using the distance formula Sqrt((x1-x2)^2 + (y1-y2)^2),(x1 and x2 are the x ordinates of each point, and y1 and y2 are the y ordinates. Sqrt stands for square root, and ^2 is to the power of two.

Using this we can find the side between 7,6 and 7,1 is 5.

The side between 7,1 and -5,6 is 13

The side between 7,6 and -5,6 is 12

After using the formula we can conclude the side between 7,1 and -5,6 is the longest, and it equals 13. Therefore the answer is B.

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Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe

vesna_86 [32]

Let
x = loaves of bread
y = batches of muffins
You must make a system of two equations with two unknowns that describe the problem
3.5x + 2.5y = 17 --- (1)
0.75x + 0.75y = 4.5 --- (2)
Resolving we have
x = 6-y (from (2))
replacing in (1)
3.5 (6-y) + 2.5y = 17
21 - 3.5y + 2.5y = 17
y = 21-17 = 4
Then substituting in (2)
x = 6-y = 6-4 = 2
Answer
Helena could bake:
2 loaves of bread
4 batches of muffins

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title="8 \frac{3}{5} " alt="8 \frac{3}{5} " ali

IRINA_888 [86]

Answer:

Step-by-step explanation:

8 3/5 is already in simplest form. You could write this mixed number as an improper fraction:

43/5

or as a mixed decimal number:

8.6

5 0

3 years ago

What is the one-hundredth term in the sequence 14, 19, 24, 29, 34…?

anzhelika [568]

Rule: look at the sequence. It has the last number as 4 then 9 then for. 4 for odd numbers(odd term numbers like number 3,5 so on) so the last number of the 100 term is 9. It’s 509.

8 0

3 years ago

Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?

Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

7 0

3 years ago

Which is the best estimate for the percent equivalent of 7/15

zzz [600]

An estimate for the percent equivalent of 7/15 is 46% i think

7 0

3 years ago

Read 2 more answers