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umka21 [38]
2 years ago
8

Solve y=x² +7 for x. A. x=y-7 B. x=+√y +7 C. x=y+7 D. x = t√y-7

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
4 0

Answer:

D. x = t√y-7

Step-by-step explanation:

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PLEASE! GEOMETRY
Rzqust [24]

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<EGF = <HGJ

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<span>e) AAS
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8 0
3 years ago
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Hi boys can you help me pls!!!!!!!
goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0
3 years ago
Angelica says the tangent is the ratio of the length of the leg opposite angle A ∠ A over the length of the leg adjacent to angl
Tpy6a [65]

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

<h3>What is the Trigonometry Ratios?</h3>

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

  • Sine ratio, sin ∅ = opp/hyp
  • Cosine ratio, cos ∅ = adj/hyp
  • Tangent ratio, tan ∅ = opp/adj.

<h3>What is the Pythagroean Theorem?</h3>

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

brainly.com/question/10417664

3 0
2 years ago
Pi approx A cylinder has a height of 20 yards and a diameter of 18 yards . What is its volume ? Use 3.14 and round your answer t
kolezko [41]

Answer:

5086.8 cubic yards

Step-by-step explanation:

Given data

Height = 20yards

Diamter= 18 yards

Radius= 9 yards

The expression for the volume of a cylinder is given as

V=πr^2h

substitute

V=3.14*9^2*20

V=3.14*81*20

V=5086.8 cubic yards

3 0
3 years ago
1) Squeaky Clean takes their 41-foot ladder to a new building
olchik [2.2K]

Answer: 32 ft

Step-by-step explanation: The ladder and the building and the ground form a right triangle will ladder being the hypotenuse....

pythagorean theorem      hyp2 = 252 + d2

                                                      41^2 - 25^2 = d^2             d =~~ 32 ft

cited from web2.0calc

3 0
3 years ago
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