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2 years ago

What is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept

Mathematics

1 answer:

Nana76 [90]2 years ago

3 0

Answer:

Vertex: (-2, 0)

Axis of symmetry: x = -2

Direction of opening: Upwards

Min: 0

Y-intercept: 4

Step-by-step explanation:

Let us graph this line, and then pull out the details we need. See attached.

What do all of these different things mean?

Vertex: This is where the graph intercepts the axis of symmetry (x = -2, see below) and is at point (-2, 0) for this graph.

Axis of Symmetry: This is the line that the graph is symmetrical across. The "center" of the graph. Here, it is x = -2.

Direction of Opening: The direction that the graph is going/opening towards. In this case, it is upwards.

Min: The minimum (in this case) value, the lowest y-coordinate. This is 0 here.

Y-intercept: The point at which the line intercepts the y-axis. This is 4 here.

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a rectangle has an area of 30 square meter and a perimeter of 34 meters. what are the dimensions of rectangle?

kow [346]

$A=lw$
$P=2l+2w$

$30=lw$
$34=2l+2w$

$30=lw$ --> $w= \frac{30}{l}$

$34=2l+2( \frac{30}{l}) \\ 34=2l+ \frac{60}{l} \\ 34l=2l^2+60 \\ 2l^2-34l+60=0 \\ 2(l-2)(l-15)=0 \\ l=2, 15$

$30=(2)w$
$15=w$

$30=(15)w$
$2=w$

The dimensions can either be 15 x 2 or 2 x 15.

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4 years ago

Please help, been struggling with this for almost a week now.

nikitadnepr [17]

Answer:

$A \approx 1140.3\ units^2$

Step-by-step explanation:

To solve this problem we first need to find the diameter of the circle. We are told the point $N$ is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:

$a^2 + b^2 = c^2\\40^2 + 9^2 = c^2\\1600 + 81 = c^2\\1681 = c^2\\\sqrt{1681} = c\\41 = c$

The diameter is $41$ units, which means the radius is $\frac{41}{2}$ . From here we can calculate the area of the circle:

$A_c = \pi r^2\\A_c = \pi (\frac{41}{2})^2\\A_c = \pi 420.25\\A_c \approx 1320.25$

Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:

$A_t = \frac{bh}{2}\\A_t = \frac{40 \times 9}{2}\\A_t = \frac{360}{2}\\A_t = 180$

Subtract the triangle area from the circle area to get the area of the shaded area:

$A = A_c - A_t\\A = \pi420.25 - 180\\A = 1140.25431\\A \approx 1140.3\ units^2$

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2 years ago

Katrina is shopping for berries that cost $2.19 per pound. She has 4.5 pounds of raspberries and 3.25 pounds of blueberries in h

slega [8]

2.19 2.19 9.855 + 7.1175 = (approximately) $16.97
x 4.5 x 3.25
----------- ----------
9. 855 7.1175
I hope this helps!!

8 0

3 years ago

Read 2 more answers

How do you do this question?

Bess [88]

"The function is decreasing":

This means the slope of the function will be negative at the given point. Anywhere the line is going down, from left to right, is decreasing. This eliminates choices A and C.

"The function is concave down":

This means the curve of the function will be open down (think of an upside down u). This eliminates choice E.

"f(x)>0":

This is anywhere the curve is above the x axis. This eliminates choice D.

The answer is Choice B) x=2.

Hope this helps!!

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4 years ago

In what step did he make an error?

Ilya [14]

Answer:

step 4

Step-by-step explanation:

because y is equation 2 is -y so the sign should have changed for -2x it should have been +2x since - and - equals to +

8 0

3 years ago

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