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katovenus [111]
4 years ago
8

Plz someone help me with this question

Mathematics
1 answer:
Anettt [7]4 years ago
4 0

Answer:

(x+3)^2=-4(y-3)

Step-by-step explanation:

(x-h)^2 = 4p(y-k)

P is the distance between the focus and vertex

P = 1 --> used distance formula for the points of -3,2 -3,3

Vertex is -3,3 --> according to picture

(x+3)^2=-4(y-3)

P is negative since it goes downwards in the picture.

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Find the value of t, rounded to the nearest tenth
sergij07 [2.7K]

<u>Given</u>:

Given that RST is a right triangle.

The measure of ∠R is 35°.

The length of ST is 12 units.

The length of the hypotenuse is t units.

We need to determine the value of t.

<u>Value of t:</u>

The value of t can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

where \theta=R, the side opposite to ∠R is ST and hypotenuse is SR.

Substituting these values, we get;

sin \ R=\frac{ST}{SR}

Substituting ST = 12 and SR = t, we get;

sin \ 35^{\circ}=\frac{12}{t}

Simplifying, we get;

t=\frac{12}{sin \ 35^{\circ}}

t=\frac{12}{0.574}

t=20.9

Thus, the value of t is 20.9 units.

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3 years ago
Michael makes a deposit of $800 in his bank account. Two years later, he had a total of $832 in his account. What is the interes
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3 years ago
adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for th
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Answer:

Step-by-step explanation:

Let A = Adam, B = Betty

Adam and Betty purchased a printer together for $258.

This means we can say A + B = 258.

We are also told Adam paid $18 less than twice Betty.

You can write this as:

Adam = 2 x Betty - 18

A = 2B - 18

Substitute "A" into the A + B equation and you get:

A + B = 258

2B - 18 + B = 258

3B - 18 = 258

Add 18 to both sides.

3B = 258 + 18

3B = 276

Divide both sides by 3 to find B

B = 276/3 = 92 (This means Betty paid $92).

Since the total that they paid together was $258.

This means Adam pays the Total - How much Betty paid

Adam = 258 - 92 = $166

4 0
3 years ago
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guapka [62]

13% of $4000 is $520
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Subtract this amount from $4000
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6 0
3 years ago
Joshua is planning a 1020-mile driving trip. His car gets an average of 30 mpg, and the cost of gas is about $4.06/gallon. What
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4 years ago
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