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Alla [95]
3 years ago
15

What is the distance between the points (-1, 5) and (3, 7)? Round your answer to the nearest hundredth. A. 3.46 B. 4.47 C. 10.77

D. 12.65
Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

B.4.47

Step-by-step explanation:

The equation to calculate the distance between two points is

D=\sqrt{(x_{1}-y_{1}  )^{2}+(x_{2}-y_{2}  )^{2 }

here

(x_{1},y_{1})=(-1,5)\\(x_{2},y_{2})=(3,7)

substituting the values

\sqrt{(-1-3)^{2}+(5-7)^{2}  }

\sqrt{(-4)^{2}+(-2)^{2}  }

\sqrt{20}

\sqrt{20}=4.47


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Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?
kherson [118]
If Lee starts with 100 pennies and adds groups of 10, the operation is addition. Since she does this 5 times, there is 5 different numbers Lee said.

100 + 10 = 110
110 + 10 = 120
120 + 10 = 130
130 + 10 = 140
140 + 10 = 150

Thus, all of the numbers she said were 110, 120, 130, 140, and 150.


Hope this helps! :)

4 0
3 years ago
Read 2 more answers
In x^a=y, y^b=z, z^c=x, then prove that abc=1​
Marysya12 [62]

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

7 0
2 years ago
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On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 30), R(−20, 30), S(−20, −10),
max2010maxim [7]

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2

4 0
2 years ago
Use distributive property to write the factored form of 2x(x+3)+5(x+3)
raketka [301]
<h3>Answer:  (2x+5)(x+3)</h3>

Explanation:

We have the common factor (x+3) show up for each of the two terms. The first term is 2x(x+3) while the second term is 5(x+3).

For each of the two terms, erase the common factor (x+3) and you'll be left with 2x+5, which is one of the factors in the final answer. The second factor is the common factor (x+3). Together they combine to get us (2x+5)(x+3)

4 0
3 years ago
Help I need the answer dont send NO FILE only answer if you know it step by step explanation
scoundrel [369]

Answer:

See below & see pic.

Step-by-step explanation:

To find where a point goes, start with the original point and see how many units it takes to get to the line of reflection in a path perpendicular to that line.

For example, H is 3 units from the line, so go 3 units past the line to find H'.

Do the same for the other points.

You get E'F'G'H' as shown in the figure below.

4 0
2 years ago
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