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3 years ago

What is the vertex of the following graph?

Mathematics

1 answer:

boyakko [2]3 years ago

6 0

The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .

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Please answer this<br> X+2y=6<br> 3x-y= -10

valentina_108 [34]

3x-y=-10
y=3x+10
so the equation “x+2y=6” is “x+2(3x+10)=6” so we have:
x+6x+20=6
7x=6-20
7x=-14
x=-14/7=-2
to get y we can replace x with its value “-2” in the equation”y=3x+10” so we have:
y=3(-2)+10=-6+10=4

4 0

3 years ago

From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find

lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

Height of tree opposite angle of elevation = 34ft
Angle of elevation θ = 26°
Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

#SPJ1

3 0

1 year ago

For questions 9 and 11, solve for the remaining angles.

maw [93]

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

4 0

2 years ago

If I can run 5 miles per hour, how far is this in feet per hour?

stiv31 [10]

Answer:

26,400 feet is 5 miles, so 5,280 fph.

Step-by-step explanation:

1 foot is equal to 0.000164 mile.

If you need an explanation, let me know. Hope this helps!!

4 0

2 years ago

Read 2 more answers

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ohaa [14]

Answer: I think 2 4/39

Step-by-step explanation: not sure sorry if i get it wrong

5 0

3 years ago