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VMariaS [17]
3 years ago
15

PLEASE HELP!! I'll make brainliest ​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0
Sorry people send you links instead of actually helping you
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Find the focus for y=x^2+4x-7
padilas [110]

ANSWER

(2,-10.75)

EXPLANATION

The given function is

y =  {x}^{2}  - 4x - 7

We rewrite this function to obtain,

(y + 11) =  {( x- 2)}^{2}

We now compare this function to

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

We have

4p = 1

This implies that,

p =  \frac{1}{4}

The vertex is (2,-11).

The focus is

(2,-11+ \frac{1}{4} )

(2,- \frac{43}{4} )

(2,-10.75)

7 0
3 years ago
Uzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
jeyben [28]
1 and half hour
= 60 minutes+ 30 minutes
= 90 minutes

Now,

Uzanne need 15 minutes to do 10 problems
Uzanne need 1 minute to complete 10/15 problems

Uzanne need 90 minutes to do
= (10/15)*90
=(2/3)*90
=2*30
=60 problems
4 0
3 years ago
A television screen's width is 1.778 times its height. If its
Nana76 [90]

Answer:

Let a, b, and c be the height, width, and the diagonal of the screen respectively

Since they form a triangle and the angle between a and b is 90 degrees, according to the Pythagorean Theorem a^2 + b^2 = c^2

Let's assume that the aspect ratio is 16:9. Therefore b/a = 16/9

Now we have a system of two equations with two unknowns. We need to express everything in terms of a single unknown, so let's express a in terms of b.

Since, b/a = 16/9, by cross multiplying 16a = 9b. Therefore a=9b/16.

Now we can subsitute 9b/16 for a in the first equation

a^2+b^2=c^2 becomes (9b/16)^2 + b^2 = c^2

Squaring the nominator and the denominator of the fraction yields

81b^2/256 + b^2 = c^2

To perform the addition, we need to express b^2 as a fraction with denominator 256 which is 256b^2/256, Now we have

81b^2/256 + 256b^2/256 = c^2

Adding fractions with the same denominators is now easy and produces

337b^2/256 = c^2

Cross multiply to get

337b^2 = 256c^2

Divide both sides by 337 to get b^2

b^2=256c^2/337

Take the square root of both sides to get b

b = sqrt(256c^2/337)

Lots of complicated Pythagorean responses. This is much simpler to answer with Trigonometry.

TLDR; just multiply the diagonal by the following two coefficients, and add the bezel width, to get the width and height:

w = diag x 0.872 + 2 x bw

h = diag x 0.49 + 2 x bw

(Where diag is the diagonal size of the screen and bw is the bezel width)

Thats all you need to know to do this.

Now here’s the Teig behind it:

First, calculate the angle of the diagonal relative to the base, using tangent, which yields ::

a = tan(9/16)

This will give you an angle of 0.512 radians (or roughly 30 degrees).

Next, calculate the ratio of the height relative to the hypotenuse (the diagonal length) using arc-sine, which yields the relative proportion of opposite length over the hypotenuse for a given angle:

h = asin(0.512)

The result will be roughly h = 0.49, or 49% of the diagonal.

Finally, get the ratio of eidth to hypotenuse using arc-cosine:

w = acos(0.512)

The result is roughly w = 0.872, or 87.2% of the diagonal.

that’s all the math! Enjoy!

6 0
3 years ago
In a city school of 1,200 students, 42% of the students are on the honor roll, 64% have a part-time job, and 28% are on the hono
Margarita [4]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
What's the name for words that are spelled alike, but have different meanings.
Semenov [28]
This is a homonym. same spelling, different meaning
4 0
3 years ago
Read 2 more answers
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