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Elan Coil [88]
3 years ago
11

The sum of two numbers is 14. The first number 2/5 of the second number. What are the numbers?

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

10 and 4

Step-by-step explanation:

2/5 of 10 is 4 so that is it

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30 POINTS AVAILABLE
kherson [118]

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

3 0
3 years ago
Adjacent, right angles are complementary.<br> always<br> sometimes<br> never
Harrizon [31]
B. <span>sometimes
is the right answer
</span> <span>Any two angles which add up to 90 degrees are complementary.</span>
8 0
3 years ago
Read 2 more answers
Need help 8th grade math
Yanka [14]
The answer is the 3rd one
6 0
3 years ago
A car is moving 70 miles per hour. how far does it travel in 16 seconds
Serjik [45]

Answer:

0.311 miles

Step-by-step explanation:

Convert 16 seconds to hours :

16 /60×60

= 16÷3600

= .004444hrs

Distance = Speed × time

= 70 × 0.00444444

= 0.311 miles

4 0
3 years ago
Read 2 more answers
Help Me5k = 6k + 4 - 6
vagabundo [1.1K]

Answer:

k = 2

Step-by-step explanation:

5k = 6k + 4 - 6

We can simplify this by solving 4 - 6 (replacing it with -2 !)

5k = 6k - 2

Now we can subtract 5k from both sides.

0 = k - 2

Finally, we can add 2 to both sides. This gets rid of the negative 2 on the right.

2 = k

Just reversing it...

k = 2

Answer: k = 2

6 0
3 years ago
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