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diamong [38]
3 years ago
5

Which shows the graph of a line with the following slope and y-intercept?

Mathematics
1 answer:
poizon [28]3 years ago
8 0
The answer is attachment 3 Because the y intercept is -5 and it goes down three and to the left 4.
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Find the other x-intercept for the parabola defined by this equation y=2x2+3-2​
ASHA 777 [7]

Answer:

( \frac{1}{2}, 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0, that is

2x² + 3x - 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 2 = - 4 and sum = + 3

The factors are + 4 and - 1

Use these factors to split the x- term

2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term

(x + 2)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}

The x- intercepts are (- 2, 0 ), ( \frac{1}{2}, 0 )

8 0
3 years ago
Quiz
ivanzaharov [21]

Answer: Its A, Your Welcome.

Step-by-step explanation:

4 0
3 years ago
Suppose Galileo and his assistant were 1 km apart when Galileo uncovered his lantern to try to measure the speed of light. How l
Damm [24]
There are many theories and measurement for the speed of light. It is believed that light travels at 299,792 km per second.  In the earlier day philosopher Aristotle believed that light didn't travel but happens instantaneously.  Therefore, for Galileo and his assistant to be only 1km apart, I would have to agree with Aristotle theory of light traveling instantaneously.
8 0
3 years ago
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher
just olya [345]

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=\frac{4}{3} πr³-\frac{4}{3} πR³

=\frac{4}{3} π(12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

3 0
3 years ago
A 6-ft ladder is placed against a wall with its base 2 ft from the wall. How high above the ground is the top of the ladder
Zarrin [17]
Use pythagorean theorem - a^2+ b^2 = c^2
a = 2ft, b = ?, c = 6ft
2 x 2 + b^2 = 6 x 6
4 + b^2 = 36
b^2 = 36 - 4 = 32
b = square root of 32
= 5.66ft
4 0
3 years ago
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