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Find the roots for y = (2x-3)(x+5) (The x values)

AlexFokin [52]

Answer:

x = $\frac{3}{2} , -5$

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

$2x-3 = 0\\2x = 3\\x = \frac{3}{2}$

Therefore, $\frac{3}{2}$ is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

$x+5 = 0\\x = -5$

Therefore, -5 is a root as well.

The roots of the equation would be $\frac{3}{2}$ and -5.

3 0

3 years ago

This answer ASAP.......

babymother [125]

Volume = 9 1/3 * 4 * 6 1/2
= 28/3 * 4 * 13/2
= 728/3 = 242 2//3 in^3

6 0

3 years ago

Multiples between 61 and 107 that is a multiple of 4,10 and 20

Vilka [71]

80 might be the answer you are looking for

4 0

4 years ago

Subtract 7x-9 from 2x^2-11<br> A) 2x^2-7x-2<br> B) 2x^2+7x-20<br> C) 2x^2+7x-2

Natali [406]

We keep the 2x^2 because we can only subtract something from that if it also is squared. From there, we subtract the 7x from 2x^2-11. Since there is no previous x's in the 2x^2-11, we just make it -7x. So, without even continuing the problem, we see that A) is the correct answer because it is the only one with -7x.

5 0

4 years ago

Read 2 more answers

Choose all the postulates and theorems that can prove to a triangles are congruent A. side side side B. side angle side C.angle

snow_tiger [21]

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

1. SSS (side, side, side)

SSS Triangle

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal.

For example:

triangle is congruent to: triangle

(See Solving SSS Triangles to find out more)

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

2. SAS (side, angle, side)

SAS Triangle

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal.

For example:

triangle is congruent to: triangle

(See Solving SAS Triangles to find out more)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

3. ASA (angle, side, angle)

ASA Triangle

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

For example:

triangle is congruent to: triangle

(See Solving ASA Triangles to find out more)

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

4. AAS (angle, angle, side)

AAS Triangle

AAS stands for "angle, angle, side" and means that we have two triangles where we know two angles and the non-included side are equal.

For example:

triangle is congruent to: triangle

(See Solving AAS Triangles to find out more)

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

5. HL (hypotenuse, leg)

This one applies only to right angled-triangles!

triangle HL or triangle HL

HL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called "legs")

It means we have two right-angled triangles with

the same length of hypotenuse and

the same length for one of the other two legs.

It doesn't matter which leg since the triangles could be rotated.

For example:

triangle is congruent to: triangle

(See Pythagoras' Theorem to find out more)

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

Caution! Don't Use "AAA"

AAA means we are given all three angles of a triangle, but no sides.

AAA Triangle

This is not enough information to decide if two triangles are congruent!

Because the triangles can have the same angles but be different sizes:

triangle is not congruent to: triangle

Without knowing at least one side, we can't be sure if two triangles are congruent.

5 0

4 years ago