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2 years ago

What is the vertex of the parabola whose equation is y = (x + 1)^2 + 3?

1 answer:

5 0

The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)

If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)

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A student draws the net below to show the dimensions of the container that is shaped like a right rectangular prism. What is the

ZanzabumX [31]

Answer:

The correct option is;

D) 62 in²

Step-by-step explanation:

Here we have from the drawing, the dimensions of the right rectangular prism are;

Height = 2 in.

Width = 5 in

Length = 3 in

Therefore the surface area is found as follows;

Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2 × Width × Length

Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2 × 5× 3 = 20 + 12 + 30 = 62 in².

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2 years ago

What is the name of the relationship between ∠1 and ∠5?

kompoz [17]

Answer:

Two lines are crossed by another line (called Transversal), the angles in matching corners are called corresponding angles. There are two parallel lines interest by the Transversal and ∠1 and ∠5 are made on the matching corners . Thus ∠1 and ∠5 are the corresponding angles .

Step-by-step explanation:

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2 years ago

In the right triangle shown in the diagram below,

adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

$\cos( \theta) = \frac{base}{hypotenuse} \\ \cos(30) = \frac{x}{24} \\ \frac{ \sqrt{3} }{ \cancel2} = \frac{x}{ \cancel{24}} = \frac{x}{12} \\ 1.732 = \frac{x}{12} \\ 12 \times 1.732 = x \\ x = 20.7$

the nearest whole number-->

20.7 --> approximately --> 21 units

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2 years ago

Is (-3,-9) a solution of the equation y = 3x ?<br> O YES<br> O NO<br> O NOT A SOLUTION

melomori [17]

Answer:

Yes, (-3, -9) is a solution.

Step-by-step explanation:

y = 3x (-3,-9)

-9 = 3(-3)

-9 = -9

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2 years ago

F(x)=2x-3 g(x)=x^2+1 find g(2)

Hitman42 [59]

Answer:

$g(2)=5$

Step-by-step explanation:

since g(x) is equal to $x^2+1$ , you just plug in the value of 2 for x, to get $2^2+1$ , and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation $4+1$ , which equals 5.

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2 years ago