3 years ago

The answer is D. Because 1 3/7=1.42

Mathematics

1 answer:

Marina86 [1]3 years ago

5 0

Im confused why did you say the answer when you asked the question

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Solve the equation 7x-c=k for x

Vlad1618 [11]

Answer:

x=k+c over 7

Step-by-step explanation:

7x-c+c=k+c

7x=k+c

divide both sides by 7

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3 years ago

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:

$-6-5\sqrt{5}$

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3 years ago

Mr. Prescott cuts 1/3 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of

algol [13]

1/3 • 1/6
1/18 is the fraction

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3 years ago

What is the slope if the form is y=-x-6

Irina-Kira [14]

The slope will be -1

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3 years ago

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Choose all the statements about the hexagon that are true.

SIZIF [17.4K]

Answer:

B, D

Step-by-step explanation:

Sorry if I'm wrong. I dont know if E is right or not

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3 years ago

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