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MissTica
3 years ago
11

Which statements are true based on the diagram? Check all that apply.

Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer: where is statements

Step-by-step explanation:

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Write the equation for a parabola with a focus at (-7,-5) and a directrix at x = -4
Nataliya [291]

Answer:

y² + 10y + 6x + 58 = 0

Step-by-step explanation:

Focus of the parabola has been given as (-7, -5) and directrix as x = -4

Let a point on the parabola is (x, y).

By the definition of a parabola, "distance of a point on parabola is equidistant from focus and directrix".

Distance from focus of the given point = \sqrt{(x+7)^2+(y+5)^2}

Distance of the point from directrix = \sqrt{(x+4)^2}

Therefore, equation of the parabola will be,

\sqrt{(x+7)^2+(y+5)^2}=\sqrt{(x+4)^2}

(x+7)^2+(y+5)^2=(x+4)^2

x² + 14x + 49 + y² + 10y + 25 = x² + 8x + 16

y² + 14x + 10y + 74 = 8x + 16

y² + 10y + 6x + 58 = 0

6 0
3 years ago
Read 2 more answers
I need help plzzzzzzzzz
GalinKa [24]

Answer:

-8 + 10 = 2

Addictive inverse of 8 is -8

6 0
3 years ago
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The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exer
docker41 [41]

Hi,

f + g is a simple sum of the functions. This refers to increasing the good effect of exercise with diet effect, therefore more weight could be lost.

(f + g)(x) = f(x) + g(x) = 2x + 210 + 2x + 125 = 4x + 335, so (f + g)(x) = 4x + 335.

For x = 3 (meaning 3 hours of exercise) we have:

(f + g)(3) = 4·3 + 335 = 12 + 335 = 347 calories, after 3 hours of exercice.

The correct answer is: 347 calories burned while combining diet with 3 hours of exercise.

Have you understood ?

Green eyes.

3 0
3 years ago
The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?
FrozenT [24]

Answer:

3

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

6 0
2 years ago
Read 2 more answers
A model for the surface area of a human body is given by S = 0.1091w0.425h0.725, where w is the weight (in pounds), h is the hei
saveliy_v [14]

Answer:

2.3%

Step-by-step explanation:

Surface area of a human body is given by -

S = 0.1901* w^{0.425}* h^{0.725}\\

Taking integral on both sides, we get -

In S = 0.425 ln w + 0.725 ln h + ln 0.1091\\\frac{dS}{S} = 0.425\frac{dw}{w} + 0.725\frac{dh}{h}\\

Since, the at most error in the surface area of a human body is 2%

Substituting this in above equation, we get -

\frac{dS}{S} \leq [0.425*0.02 + 0.725*0.02]\\\frac{dS}{S} \leq0.023\\

Thus, the maximum error is surface area is equal to

0.023 * 100\\= 2.3%

6 0
3 years ago
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