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2 years ago

What are the verter and x-intercepts of the graph of the function given below? y=x2-2x-35

Mathematics

1 answer:

horsena [70]2 years ago

5 0

For x intercepts, plug in 0 for y.

0 = (x^2) - 2x - 35

*factoring* = (x-7)(x+5)

x intercepts = 7,-5

As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex

so,

x = -b/2a = -(-2)/2 = 1

then just find the y value by plugging it back in to the equation.

y = ((1)^2) - 2(1) - 35

= -36

so, vertex is at (1,-36)

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Which of the following number sentences is an example of the identity property of addition?

Paladinen [302]

Answer:

Option C is correct

8 + 0 = 8

Hope this helps!

3 0

3 years ago

3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of

VARVARA [1.3K]

When a shape is rotated, it must be rotated around a point.

<em>See attachment for the image of each rotation.</em>

To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.

The top coordinates of the X shape are:

$A = (0,0)$

$B = (1,0)$

$C = (3,0)$

$D =(4,0)$

For 90 degrees counterclockwise rotation, the rule is:

$(x,y) \to (-y,x)$

So, we have:

$A' = (0,0)$

$B' = (0,1)$

$C' = (0,3)$

$D' = (0,4)$

For 180 degrees rotation, the rule is:

$(x,y) \to (-x,-y)$

So, we have:

$A' = (0,0)$

$B' = (-1,0)$

$C' = (-3,0)$

$D' = (-4,0)$

For 270 degrees counter rotation, the rule is:

$(x,y) \to (y,-x)$

So, we have:

$A' = (0,0)$

$B' = (0,-1)$

$C' = (0,-3)$

$D' = (0,-4)$

See attachment for the image of each rotation

Read more about rotations at:

brainly.com/question/1571997

3 0

2 years ago

What is the simplified form of the following expression? 7(3sqrt2x)-3(3sqrt16x)-3(3sqrt8x)

coldgirl [10]

Assignment: $\bold{Simplify \ Equation: \ 7\left(3\sqrt{2}x\right)-3\left(3\sqrt{16}x\right)-3\left(3\sqrt{8}x\right)}$

<><><><><><><>

Answer: $\boxed{\bold{3\sqrt{2}x-36x}}$

<><><><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><><><>

[ Step One ] Remove Parenthesis (a) = a

$\bold{7\cdot \:3\sqrt{2}x-3\cdot \:3\sqrt{16}x-3\cdot \:3\sqrt{8}x}$

[ Step Two ] Simplify Equations

$\bold{7\cdot \:3\sqrt{2}x: \ 21\sqrt{2}x}$

$\bold{3\cdot \:3\sqrt{16}x: \ 36x}$

$\bold{3\cdot \:3\sqrt{8}x: \ 18\sqrt{2}x}$

[ Step Three ] Rewrite Equation

$\bold{21\sqrt{2}x-36x-18\sqrt{2}x}$

[ Step Four ] Add Similar Elements

$\bold{21\sqrt{2}x-18\sqrt{2}x=3\sqrt{2}x}$

[ Step Five ] Rewrite Equation

$\bold{3\sqrt{2}x-36x}$

<><><><><><><>

$\bold{\rightarrow Mordancy \leftarrow}$

7 0

3 years ago

A car starts from an initial velocity of 10m/s and accelerates at 2.5m/s².how long will it take the car to reach a speed of 40m/

PIT_PIT [208]

A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s

To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m

Hope this helps :)

7 0

2 years ago

Kellie is given the following information:

Murljashka [212]

Answer:

She used inductive reasoning. (False)

She used the law of detachment. (True)

Her conclusion is valid. (True)

The statements can be represented as "if p, then q and if q, then r." (False)

Her conclusion is true. (True)

Step-by-step explanation:

p = Two lines are perpendicular

q = They intersect at Right angles.

Given: A and B are perpendicular

Conclusion: A and B intersect at right angle.

According to the law of detachment, There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below.

Statement 1: If p, then q.

Statement 2: p

Conclusion: q

In our case the pattern is followed. The truth of the premises logically guarantees the truth of the conclusion. So her conclusion is true and valid.

3 0

2 years ago