3 years ago

Standard slope intercept form simplify all fractions 2y-4x=-16

Mathematics

1 answer:

Shtirlitz [24]3 years ago

4 0

Answer: y= 2x-8

Step-by-step explanation:

2y-4x=-16

2y=-16+4x

y=-8+2x

y= 2x-8

You might be interested in

221,000,000,000,000,000,000 in scientific notation

larisa [96]

2.21 x 10^17 and the answer is 2.21e+17

8 0

2 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:

$-6-5\sqrt{5}$

8 0

3 years ago

Joe cuts ten pizzas into quarters how many quarters in total

Anastasy [175]

Answer:

40 quarters

Step-by-step explanation:

Each pizza cut into quarters creates four quarters.

4 quarters per pizza times 10 pizzas equals 40 quarters.

4 0

3 years ago

Read 2 more answers

Barbara answered 72 questions correctly on her test. If her score on the test was 80%, how many questions were on the test?

Pani-rosa [81]

Answer is B - 90
-----

5 0

3 years ago

Read 2 more answers

3/5 ÷ 4/15 = 9/4. Is this true?

Rasek [7]

Answer:

yes

Step-by-step explanation:

it is 9/4 indeed.........

4 0

3 years ago

Read 2 more answers