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Mashutka [201]
3 years ago
14

Please answer this correctly

Mathematics
1 answer:
brilliants [131]3 years ago
3 0

5 x 3 = 15 + 1 = 16 feet

16 x 8 = 128 feet

128 / 3 = 42 yards 2 feet

Hope this helps!! :)

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A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
Marcus spent 2 hour reading,1 hour playing Rocket League,and took a 2 hour nap. What percent of the total time did he read?
Alona [7]

Answer: He read 40% of the total time.

Step-by-step explanation:

As per given,

Total time he spent = 2 +1+2 = 5 hours

Number of hours he spent on reading = 2 hours

The percent of the total time he read = \dfrac{\text{Number of hours read}}{\text{Total time spent}}\times100

=\dfrac{2}{5}\times100\\\\=40\%

i.e. The percent of the total time he read  = 40%

Hence, he read 40% of the total time.

4 0
3 years ago
Can someone help me with this I keep getting an answer that it doesn’t give me! And explain it!!!
Ira Lisetskai [31]

(100\%-15\%-25\%)\cdot240=60\%\cdot240=144

6 0
3 years ago
Read 2 more answers
.The sum of two number is 40 when 13/4 multiplied by the larger number is subtracted from 11/2 multiplied by the smaller number.
Vaselesa [24]

Answer:

Step-by-step explanation:

x + y = 40

x>y

(11/2)y - (13/4)*x = - 25

x = 40 - y

(11/2)y - (13/4)(40-y) = - 25      multiply by 4

22y - 13( 40 - y) = - 100

22y - 520 + 13y = -400         Add 520

35y = 120

y = 120 / 35

y = 3 3/7

x = 40 - y

x = 36 4/7

4 0
3 years ago
This is what I need to know please help
quester [9]
It would have to be letter B because the exponents add up to the lines in the graph so in conculsion it is letter B.
6 0
3 years ago
Read 2 more answers
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