Write down the exact value of sin 60°
3099
2
V3
160°

Answer:

x^2y^4.

Step-by-step explanation:

y^2x^3y^2

= x^2y^2y^2

= x^2y^(2+2)

= x^2y^4.

From the information given, the mathematical equation (or slope formula) for this situation is given as: y=6x+90

What is the explanation for the above answer?

It is important to state that points of the slope are: (0,90). This is so as the Y intercept is taken as the Sumos weight.

Given that after 8 months, the sumo wrestler weighed 138kg

Hence, (138/90 - 8/0, with the 138 and 8 being the numerator)

= 48/8

= 6

Given that the slope = 6); and

the y intercept = 90

Hence, the slope intercept equation y = 6x+90

Learn more about slopes at;
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Answer:

y=6x+90

Step-by-step explanation:

y=6x+90

use the slope formula with the points (0,90) because this is the y intercept, the sumos weight

after 8 months, the sumo restler weighed 138 (8,138)

solve that with the slope formula (138/90 - 8/0, with the 138 and 8 being the numerator)

then, you get 48/8

thus, 6, like the answer above me said.

however, the answer is incomplete as it asks for it in the equation form

thus since we know the slope (6) and the y intercept (90), format in slope intercept form- = y=6x+90

hope this helps!

It would be D

G(x) = (x+5)^3

since this function represents a horizontal shift 5 to the left. also you can think about this that -5 is a root and the function only equals 0 at -5

Answer:   k = -15

===========================================================

Explanation:

Let p(x) = 4x^2+4x+k be the polynomial function.

Also, let r and s be the two roots of the polynomial p(x).

By definition of what it means to be a root, we know that

p(r) = 0

p(s) = 0

So this means p(r) = p(s).

Because one root exceeds another by 4, we can say s = r+4.

So the equation p(r) = p(s) updates to p(r) = p(r+4).

----------------------------

Let's compute p(r) and p(r+4)

So,

p(x) = 4x^2+4x+k

p(r) = 4r^2+4r+k

and

p(x) = 4x^2+4x+k

p(r+4) = 4(r+4)^2+4(r+4)+k

p(r+4) = 4(r^2+8r+16)+4(r+4)+k

p(r+4) = 4r^2+32r+64+4r+16+k

p(r+4) = 4r^2+36r+80+k

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Now equate those results

p(r) = p(r+4)

4r^2+4r+k = 4r^2+36r+80+k

4r+k = 36r+80+k        ...... the 4r^2 terms cancel

4r = 36r+80                ..... the k terms cancel as well

4r-36r = 80

-32r = 80

r = 80/(-32)

r = (16*5)/(-16*2)

r = -5/2 = -2.5 is one of the roots

s = r+4

s = -2.5+4

s = 1.5 = 3/2 is the other root.

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With this in mind, we can use either r or s to find the value of k

p(x) = 4x^2 + 4x + k

p(r) = 4r^2 + 4r + k

p(r) = 4(-2.5)^2 + 4(-2.5) + k

p(r) = 15+k

0 = 15+k

k+15 = 0

k = -15

------------------------------

To confirm this answer, you can use the quadratic formula to solve 4x^2+4x-15 = 0. You should get the two roots r = -5/2 = -2.5 and s = 3/2 = 1.5

Then note how s-r = 4 which is the same as saying s = r+4.

Let

x-------> distance in the map in cm

y-------> actual distance in Km

we know that

so

--------> equation

Part 13) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 13) is

the actual distance is

Part 14) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 14) is

the actual distance is

Part 15) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 15) is

the actual distance is

Part 16) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 16

the actual distance is