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4 years ago

What are the solution(s) to the quadratic equation 40 - x2 = 0?

Mathematics

1 answer:

Julli [10]4 years ago

5 0

Answer:

x = ±2√10

Step-by-step explanation:

40 - x² = 0

⇌

(√40 - x)(√40 + x) = 0

⇌

x = √40 or x = -√40

we can go further and say that √40 = 2√10

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Solve the equation -3=6x-3y for y

My name is Ann [436]

Answer:

y = 2x + 1

Step-by-step explanation:

-3 = 6x - 3y

Add 3y to both sides.

3y - 3 = 6x

Add 3 to both sides.

3y = 6x + 3

Divide both sides by 3.

y = 2x + 1

7 0

3 years ago

Which expression is equivalent to (16x^8y^-12)^1/2

MAVERICK [17]

Answer:

The equivalent expression is $\Rightarrow \dfrac{4x^4}{y^6}$

Step-by-step explanation:

Given: $(16x^8y^{-12})^{1/2}$

We need to simplify the expression. We will distribute radical with each term inside the parentheses.

$\Rightarrow (16x^8y^{-12})^{1/2}$

Distribute the radical

$\Rightarrow 16^{1/2}\cdot x^{8\cdot 1/2\cdot y^{-12\cdot 1/2}$

$\Rightarrow 4\cdot x^4\cdot y^{-6}$

$\Rightarrow 4x^4y^{-6}$

Now we will simplify the negative exponent.

$\Rightarrow \dfrac{4x^4}{y^6}$

Hence, The equivalent expression is $\Rightarrow \dfrac{4x^4}{y^6}$

8 0

3 years ago

Q ##10 please I need help with this

algol [13]

Here we are given the inequality:

$y\geq4x-5$

Let us check for each ordered pair that satisfies the given inequality.

1. (3,0)

LHS: y

here y is 0.

So LHS is 0.

RHS: 4x-5

plugging x as 3,

4(3)-5 = 7

0≥7

False

So (3,0) does not satisfy the inequality.

2. (1,1)

LHS: y

here y is 1.

So LHS is 1.

RHS: 4x-5

plugging x as 1,

4(1)-5 = -1

1≥-1

True

So (1,1) satisfy the inequality.

1. (3,4)

LHS: y

here y is 4.

So LHS is 4.

RHS: 4x-5

plugging x as 3,

4(3)-5 = 7

4≥7

False

So (3,4) does not satisfy the inequality.

1. (2,1)

LHS: y

here y is 1.

So LHS is 1.

RHS: 4x-5

plugging x as 2,

4(2)-5 = 3

2≥3

False

So (2,1) does not satisfy the inequality.

Answer: (1,1) is the solution of the given inequality.

3 0

3 years ago

Can somebody show the work for the both on a picture or link to a pdf or something?

dalvyx [7]

Answer:

The Answer for part be is 65.5584

Step-by-step explanation:

8 0

3 years ago

Which statement correctly identifies the line of reflection?

Lemur [1.5K]

Answer: The triangles are reflected across the line y = x

Step-by-step explanation:

I used wolfram to calculate it for me. I used the bottom right point of the triangle.

8 0

3 years ago