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Scrat [10]
3 years ago
6

the vertex of this parabola is at (4, -3) when the x-value is 5, the y-value is -6. what is the coefficient of the squared term

in the parabola's equation
Mathematics
1 answer:
Doss [256]3 years ago
5 0
+ The vertex of this parabola is at (4, -3), that means we have the equation of this parabola: y=a(x-4)² -3

+ <span>when the x-value is 5, the y-value is -6, we have  -6=a(5-4)</span>² -3
or we have a= -6+3, and we have a= -3

+ <span>what is the coefficient of the squared term in the parabola's equation, that is a, and a= -3</span>
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rodikova [14]

Answer:

cosec²x is the answer

Step-by-step explanation:

\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x

5 0
3 years ago
What is the surface area? 10 cm 7 cm 3 cm square centimeters
alexandr1967 [171]

Answer:

242cm^2

Step-by-step explanation:

The formula for surface area of a rectangular(assuming that's what you have) is Perimeter of the Base(height) + 2(Area of the Base)

Or you could add up all the sides, or use this formula

SA=2(length*width)+2(length*height)+2(height*width)

2×(10×7 + 10×3 + 7×3)

helpful links:

https://www.khanacademy.org/math/ basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/v/surface-area-of-a-box

http://www.math.com/tables/geometry/surfareas.htm

https://www.basic-mathematics.com/surface-area-formula.html

6 0
3 years ago
Hello pls help meeee
lakkis [162]

Answer:

answer is below

Step-by-step explanation:

0  1

2  3

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5 0
3 years ago
Select the number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170
Andreyy89

The number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170 is; Associative Property

<h3>What is the Number Property that was used?</h3>

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Now, this associative property is used here because we see that;

2(5 • 17) = (2 • 5) 17

In both left and right hand sides we see that despite the change in order, the result remains the same.

Read more about Number Property at; brainly.com/question/24792133

#SPJ1

4 0
1 year ago
Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to
rusak2 [61]

Answer:

<em>2.983 </em>ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = \frac{60}{20} = 3

Formula for linear speed is given as:

v=\dfrac{2\pi}{60}\cdot r\cdot RPM

Where r is the radius of circular path and

RPM is the number of revolutions per minute.

v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}

Therefore, the linear speed is <em>2.983 ft/sec.</em>

5 0
3 years ago
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