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3 years ago

I appreciate any help. Trying to get the hang of these.

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

Answer:

x = 12

Step-by-step explanation:

Since the top line is equal to the bottom, you make the equation -

x + x + 4 = x + 16

You subtract an x on both sides because there is one on each side -

x + 4 = 16

Then you subtract the 4 from both sides to get x by its self, which makes

x = 12

jenyasd209 [6]3 years ago

6 0

Answer:

X=12

Step-by-step explanation:

This question can be answered in two ways:

Method 1

The length of the first line = x +x +4

The length of the second line = x +16

But both lines are equal, thus,

x +x +4 = x +16

2x +4 = x+16

2x - x =16-4

x= 12

Method 2

The mark for the first X in the two lines matches meaning they are equal.

Thus, we are left with

x + 4 = 16

x = 16 - 4

x =12

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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)

bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

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3 years ago

What is 10 divided by 5/12

Svetllana [295]

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3 years ago

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One team c 82.5% of the football players weigh more then 200 pounds if 40 men are on the team how many weigh more then 200 pound

valentinak56 [21]

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3 years ago

The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism

AleksAgata [21]

Answer:

$\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle V_P = 2x^3 - 6x^2 + 8x$

$\displaystyle V_C = 27x^3$

Step 2: Find Combined Volume

[Set up] Add: $\displaystyle V_P + V_C = V_{P + C}$
Substitute in variables: $\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x$
Combine like terms: $\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

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