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White raven [17]
3 years ago
11

Graph the equation: x = y^2 - 2

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0
Draw a cartesian plane, create a graph with the equation x = y^2 - 2
then substitute numbers into the equation so that it is true, to find points on the graph, e.g. substitute y with 1, you get 
x = 1^2 - 2
x = 1 - 2 = -1, so when y = 1, x = -1, this point is (-1, 1)

for the next substitute y with 2,
x = 2^2 - 2
x = 4 - 2 = 2, the point is (2, 2)
you might want to try negative values of y 
y = -1, x = (-1)^2 - 2
x = -1 the point is (-1,-1)

then plot the points on the graph
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A concrete patio is
astra-53 [7]

The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table

<em><u>Solution:</u></em>

Given that concrete patio is 5\frac{2}{3} feet wide

Area of concrete patio = 36\frac{2}{3} square feet

Therefore,

\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet\\\\\text{Area of concrete patio = }36\frac{2}{3}=\frac{36\times 3+2}{3}=\frac{110}{3}feet^2

Let us find the length of concrete patio

Concrete patio is usually of shape rectangle

Area of concrete patio = length x width

\frac{110}{3} = length \times \frac{17}{3}\\\\length = \frac{110}{3} \times \frac{3}{17}\\\\length = \frac{110}{17} = 6.4705 \approx 6.5

Therefore length of concrete patio is 6.5 feet

So it cannot fit the 7 foot picnic table. Since the length of concrete patio is 6.5 feet which is less than given 7 foot picnic table

4 0
3 years ago
Need help and will be giving Brainliest
Katena32 [7]

Answer:

x-intercept (s):

For this case h (x) = 0

x2 - 2x - 8 = 0

(x-4) * (x + 2) = 0

x1 = 4

x2 = -2

y-intercept:

For this case x = 0

h (0) = (0)2 - 2 (0) - 8

h (0) = - 8

vertex:

We derive the equation:

h '(x) = x2 - 2x - 8

h (x) = 2x - 2

We match zero:

2x-2 = 0

x = 2/2

x = 1

We evaluate the function for x = 1

h (1) = (1)2 - 2 (1) - 8

h (1) = 1 - 2 - 8

h (1) = -9

The vertex is:

(1, -9)

axis of symmetry of the function:

x = 1

Step-by-step explanation:

hope it helps

6 0
3 years ago
Evaluate when r=  -3
goblinko [34]

The answer is B) 30

parenthesis first (5×-3)(-2)

5×-3= -15

-15×-2= 30

6 0
3 years ago
I need answer immediately!!!!!!
Pepsi [2]

Its division and fractions i advise calulater soup

7 0
2 years ago
What is another way that you could rotate a figure 270° counter-clockwise? Be sure to state the degree amount and the direction.
mash [69]

Answer:

Turning it 90 degrees clockwise.

Step-by-step explanation:

They are opposite, and 360 degrees is a complete turn. 360-270=90

7 0
3 years ago
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