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galina1969 [7]
3 years ago
9

The distance between the two points rounding to the nearest tenth (-8,-6) and (-3,-4)

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

5.4

Step-by-step explanation:

To find the distance between two points, (x_1,y_1) and (x_2,y_2), plug them into the following equation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(-3-(-8))^2+(-4-(-6))^2}

Two negatives make a positive

d=\sqrt{(-3+8)^2+(-4+6)^2}\\d=\sqrt{(5)^2+(2)^2}\\d=\sqrt{25+4}\\d=\sqrt{29}\\d=5.4

Therefore, the distance between the two points rounded to the nearest tenth is 5.4.

I hope this helps!

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3 years ago
A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90
andre [41]

Answer:

5 \frac{5}{8} cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 \frac{1}{4} cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 \frac{1}{4} to improper fraction.

2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u>                 <u>Number of cookies</u>

 \frac{9}{4}                               36

       x                                            90

Now form a proportion.

\frac{\frac{9}{4}}{x} = \frac{36}{90}

Now let's cross multiply, we get

\frac{9}{4} *90 = 36x\\\

\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = 5 \frac{5}{8} cups

So the baker needs 5 \frac{5}{8} cups to make 90 cookies.

3 0
3 years ago
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yarga [219]

Step-by-step explanation:

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8 0
3 years ago
What is the length of the hypotenuse of the triangle below?
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Answer:

D

Step-by-step explanation:

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4 0
3 years ago
DIG DEEPER You and
Wittaler [7]

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

My speed

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Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let  be the time taken to meet

So, we meet each other after 1.5 hours.

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3 0
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