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Minchanka [31]
3 years ago
8

What is the distance between the points (3,7) and (15,16)?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0
Distance between the point formula is
d=\sqrt{(y2-y1)^2+(x2-x1)^2}
where (x1,y1) and (x2,y2) are coordinates points

here points are given (3,7) (15,16)

put those points into distance formula
d=  now u can do this
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How many L of A 90% saline solution must be mixed with 4 L of a 50% saline solution to make a 74% solution ?
insens350 [35]

Answer:

6 L

Step-by-step explanation:

Given two solutions:

1st solution is 90% saline solution. Let the volume of this solution be x litres.

2nd solution is 50% saline solution. Volume of this solution = 4 L

Resultant solution is 74% saline.

To find:

The volume of 1st solution = ?

Solution:

Total volume of the 74% saline mixture = (4+x) Litres

We can write equation here, as per the percentage of saline in the mixtures.

90% of x L + 50% of 4 L = 74% of (x+4)

\Rightarrow \dfrac{90x}{100} + \dfrac{50}{100}\times 4 = \dfrac{74}{100}\times (x+4)\\\Rightarrow 90x + 200 = 74x+296\\\Rightarrow 90x-74x = 296-200\\\Rightarrow 16x = 96\\\Rightarrow x = \bold{6\ L}

Therefore, the volume must be <em>6 L</em>.

8 0
3 years ago
A shirt is on sale for 20% off Sandy pay $8 for the shirt what was the shirt regular price​
Talja [164]

Answer:

The shirt cost $10 since 20% of 10 is 2 resulting in the $8 final cost

Step-by-step explanation:

4 0
4 years ago
The length of a rectangle is 3 cm greater than its width. the perimeter is 25 cm. what are the dimensions of the rectangle?
slega [8]
P = 2(L + W)
P = 25
L = W + 3
now we sub and solve
25 = 2(W + 3 + W)
25 = 2(2W + 3)
25 = 4W + 6
25 - 6 = 4W
19 = 4W
19/4 = W
4.75 = W <== width = 4.75 cm (or 4 3/4 cm)

L = W + 3
L = 4.75 + 3
L = 7.75 <== length = 7.75 cm (or 7 3/4 cm)
7 0
3 years ago
Find the distance between the given points: (2, -2) and (-4, 7)
sasho [114]

Answer:

3\sqrt{13}

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, where (x_1, y_1) and (x_2, y_2) are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

x_1=2\\y_1=-2\\x_2=-4\\y_2=7

Now substitute those values into the formula and solve

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

\sqrt{(-4-2)^2+(7--2)^2}

Simplify

\sqrt{(-4-2)^2+(7+2)^2}

\sqrt{(-6)^2+(9)^2}

Square the numbers under the radical

\sqrt{36+81}

Add the numbers under the radical together

\sqrt{117}

Simplify the square root

3\sqrt{13}

Hope this helps!

6 0
3 years ago
Find the value of x
Tamiku [17]
<BAC = 180 - 98 = 82
x = 180 - (82+32)
x = 180 - 114
x = 66

answer
C, 66
5 0
3 years ago
Read 2 more answers
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