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chubhunter [2.5K]
4 years ago
15

What is the distance between (12, –7) and (–3, –7)?

Mathematics
2 answers:
seropon [69]4 years ago
6 0

15.9687194227 units between the 2 points

olchik [2.2K]4 years ago
6 0

Answer:

The distance between the two points is 15 units

Step-by-step explanation:

the distance between (12, –7) and (–3, –7)

To find distance we use distance formula

Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(12, –7) is (x1,y1) and (–3, –7) is (x2,y2)

Now plug in the values in the formula

Distance =\sqrt{(-3-12)^2+(-7+7)^2}

Distance =\sqrt{(-15)^2+(0)^2}

Distance =15

The distance between the two points is 15 units

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A piece of ribbon is cut into 3 different pieces A, B and C. The ratio of the length of A to the length of B is 3 : 4. The ratio
dusya [7]

Answer:

Step-by-step explanation:

\frac{A}{B}:\frac{3}{4}   and   \frac{B}{C}: \frac{8}{9}  and we are told that C is 6cm longer than A.  That means that C = A + 6.

We are going to cross multiply each one of those ratios.  The first one gives us

4A = 3B  and the second one gives us

9B = 8C.  But since C = A + 6, then

9B = 8(A + 6) and

9B = 8A + 48 and

Now we will solve the first equation above for A:

If 4A = 3B, then

A=\frac{3}{4}B and will use that as a sub for A in the second equation:

9B=8(\frac{3}{4}B)+48  and

9B = 6B + 48 and

3B = 48 so

B = 16.

Now that we know B, we can use it to solve for A:

4A = 3(16) and

4A = 48 so

A = 12.

Then we can use that all the way back in the expression we set up for C:

C = A + 6 so

C = 12 + 6 so

C = 18

12 + 16 + 18 is the length of the string: 46cm

3 0
4 years ago
Help me on this one
lana [24]

The answer is B. 31, since the arrow from July goes to the number 31.

Hope this helps!

3 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Darina [25.2K]

Answer:

x = 39

Step-by-step explanation:

all triangles have angle measures that add up to 180°.

This means that to find what x is, you add 102 and 39, and then subtract that from 180, so

180-(102+39) = x

180-141=x

39=x

7 0
2 years ago
Read 2 more answers
Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas at Smiths for $
ZanzabumX [31]

Answer:

$1.49 per pound of bananas at Smiths

Step-by-step explanation:

1. 10 pounds is $14.90

2. Find how much one pound costs by dividing 14.90 by 10

3. 14.90/10= 1.49

4. $1.49 per pound of bananas at Smiths

6 0
3 years ago
find the cost of carpeting the following rectangular rooms:a. Dimensions: 7.5m x 4.5m; Cost= $14.17/m^2b. Dimensions: 17 yd. x 1
Bezzdna [24]

a)

Dimensions: 7.5m x 4.5m

Cost , x= $14.17/m^2.

The area of the rectangular room can be calculated as,

\begin{gathered} A=7.5\times4.5 \\ =33.75m^2 \end{gathered}

Now, the cost of carpeting the rectangular room is,

\begin{gathered} C=xA \\ =14.17\times33.75 \\ =478.24\text{ } \end{gathered}

Therefore, the cost of carpeting the room with dimensions 7.5m x 4.5m is $478.24.

b)

Dimensions: 17 yd. x 12 yd.

Cost, x= $25/yd^2.

The area of the rectangular room can be calculated as,

\begin{gathered} A=17\times12 \\ =204yd^2 \end{gathered}

Now, the cost of carpeting the rectangular room is,

\begin{gathered} C=xA \\ =25\times204 \\ =5100 \end{gathered}

Therefore, the cost of carpeting the room with dimensions 17 yd. x 12 yd is $5100.

6 0
1 year ago
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