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3 years ago

Please help I am terrible at algebra

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

Answer:

y = (x-0)^2 + (-5) ⇒ y = x^2 - 5

Step-by-step explanation:

The general vertex form of the parabola y = a(x - h)² + k

Where (h,k) is the coordinates of the vertex.

As shown at the graph the vertex of the parabola is the point (0, -5)

So,

y = a(x-0) + (-5)

y = ax^2 - 5

To find substitute with another point from the graph like (1,-4)

So, at x = 1 ⇒ y = -4

-4 = a * 1^2 - 5

a = -4 + 5 = 1

So, the equation of the given parabola is ⇒ y = x^2 - 5

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What is the value of the expression "two less than six times the difference of a number and five" when n = 9?

Burka [1]

Answer: The value of the expression when $n=9$ is $22$

Step-by-step explanation:

In this case, you need to remember that:

1. Tthe word "less than" indicates a subtraction.

2. By definition, the "Difference" in the result of a subtraction.

3. The word "times" indicates multiplication,

Based on the information given above, you know that " Six times the difference of a number and five" can be expressed as:

$6(n-5)$

Then, "Two less than six times the difference of a number and five" can be represented with this expression:

$6(n-5)-2$

Now you can substitute $n=9$ into the expression and the evaluate in order to find the value of the expression. This is:

$6(9-5)-2=6(4)-2=24-2=22$

7 0

3 years ago

I need the answer ASAP! Please help me!

masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Determining the length of BC

From the diagram, it is clear that

The point B is located at (-8, 10) and point C is located at (8, 10)

Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16

Thus, the length of BC = 16 units

Determining the length of CD

Given

C (8, 10)

D (2, -2)

The distance between C(8, 10) and D(2, -2)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}$

$=\sqrt{6^2+12^2}$

$=\sqrt{36+144}$

$=\sqrt{180}$

$=\sqrt{36\times 5}$

$=6\sqrt{5}$

Thus, the length of CD $=6\sqrt{5}$ units

Determining the length of ED

Given

E (-8, -4)

D (2, -2)

The distance between E(-8, -4) and D(2, -2)

$ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}$

$=\sqrt{10^2+2^2}$

$=\sqrt{100+4}$

$=\sqrt{104}$

$=\sqrt{26\times \:4}$

$=2\sqrt{26}$

Thus, the length of ED $=2\sqrt{26}$ units

Determining the length of EB

From the diagram, it is clear that

The point E is located at (-8, -4) and the point B is located at (-8, 10)

Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14

Thus, the length of EB = 14 units

4 0

3 years ago

Simplify 24 − (23 + 22).

andre [41]

Answer:

I don't know where those choices are from but the answer is -21.....

Step-by-step explanation:

24 − (23 + 22)

24-23-22

-21

3 0

3 years ago

Read 2 more answers

Help me get this right. i cant fail myi class

r-ruslan [8.4K]

The answer you chose is correct. You should make sure that you check both of your intercepts before coming to a conclusion and determining your answer.

Hoped I helped!

8 0

3 years ago

Read 2 more answers

45 times; 55 times; 2.5’ deep

katovenus [111]

Answer:

45 times 55 times 2.5. is 6187.5

4 0

4 years ago