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grin007 [14]
3 years ago
6

Solve the equation using square roots. x^2-15=34

Mathematics
1 answer:
matrenka [14]3 years ago
3 0
<span>x^2-15=34
</span><span>x^2 = 34 + 15
</span><span>x^2 = 19
x = + 7  and x = -7

answer is 

</span>x = + 7  and x = -7
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A number plus 5 more than 3 times the number is 37. Find the number
natima [27]
5+3x=37

Step 1
subtract 5 from both sides
3x=32

Step 2
divide by three
x=10.6(repeating)
3 0
3 years ago
Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.
Alika [10]

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

3 0
3 years ago
Read 2 more answers
EASY QUESTIONS ON THE EARTH
Leni [432]

Question #10:

To find what fraction of an onion is used per serving, divide the total amount of onion by the total number servings.

1/2 ÷ 6 = 1/12

Therefore, 1/12 of an onion was used per serving.

Question #12:

1/2 of 3/4 means that we multiply 1/2 to 3/4.

3/4 * 1/2 → 3/8

3/4 of 1/2 means we multiply 3/4 to 1/2.

1/2 * 3/4 → 3/8

Therefore, both expressions are similar.

Best of Luck!

3 0
3 years ago
Read 2 more answers
15(2-x)=13(3-x) pls help
schepotkina [342]

Answer:

-4.5

Step-by-step explanation:

15(2-x)=13(3-x)

Expand parentheses:

30-15x=39-13x

Add 15x to both sides:

30=2x+39

Subtract 39 from both sides:

2x=-9

Divide both sides by 2:

x=-4.5

Hope this helps!

6 0
3 years ago
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Factor completely 2x^3 + 6x^2 + 10x + 30
andrezito [222]

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

  1. Given equation: ax³ + bx² + cx + d
  2. Group a & b, c & d: (ax³ + bx²) + (cx + d)
  3. Pull GCFs and factors

Let's apply these steps to the given equation.

  1. Given equation: 2x³ + 6x² + 10x + 30
  2. Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
  3. Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

  1. List GCFs: 2x², 10
  2. Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

  1. Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

7 0
3 years ago
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