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3 years ago

Could someone help me

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

The answer is D. 44 degrees.

It’s not A because that would mean the angle is over 90 and it’s not because you can see that it’s smaller than a right angle.

It’s not B because that would mean it’s a bit smaller than a right angle but it’s a lot smaller.

It’s not C because that wound mean the angle is about a 90 degrees right angle but it’s not.

D is the most reasonable answer.

Hope this helps! :)

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If an object is dropped from a height of 96ft, the function h(t) = -62 + 96 gives the height of the object after t seconds. When

Shalnov [3]

Answer:

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

Therefore the equation h(t) = 80t – 16t2 becomes 0= 80t – 16t2

Solving the equation for t gives 80t =16t2 or 16t=80 or t=5sec

The object hits the ground 5 seconds after it is launched.

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2 years ago

How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?

Sindrei [870]

2442
2+4+4+2=12

3333
3+3+3+3=12

1551
1+5+5+1=12

4224
4+2+2+4=12

5115
5+1+1+5=12

6006
6+0+0+6=12

The answer is 6

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2 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago

The value of good wine increases with age. Thus, if you are a wine dealer, you have the problem of deciding whether to sell your

Katyanochek1 [597]

Answer: 64 years

Step-by-step explanation:

Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:

R1 = P(1.05)^t,

This means that after t years, the dealer would have the total amount of:

$P×1.05^t.

If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:

R2 = $P(1 + 20).

The value of t which will make both returns equal, will be;

R1 = R2.

P×1.05^t = P(1+20)

P will cancel out

1.05^t = 21

Log both sides

Log1.05^t = Log21

tLog1.05 = Log21

t = Log21/Log1.05

t = 64 years

The best time to sell the wine is therefore 64years from now.

7 0

3 years ago

6.Identify the terms in the expression: 9 + 11y – y2 + y3 – 4y4

Maslowich

6. 9 + 11y – y2 + y3 – 4y4
This expression has 5 terms.

7. (2a + 3b) + 4c = 2a + (3b + 4c)
Associative property of addition, because you're moving the parentheses.

8. If m = 4 and n = 4, then m = n
Substitution property.

9. -9 + 5 – (-2) + 17
-4 - (-2) + 17
-2 + 17
15

10. - 35 - (- 13 )
-22

11. -40 + 23 - 19 + 31
-17 - 19 + 21
36 + 21
57

12. (-2)³
-2 * -2 * -2
-8

13. - 925

14. 15(3y – 5)
45y - 75

15. (7 + 6w)6
42 + 36w

16. 3n+57

17. 9p-63

5 0

3 years ago