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MissTica
3 years ago
10

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! ILL GIVE 40 POINTS .

Mathematics
1 answer:
igomit [66]3 years ago
3 0

66° 44 and 70 make 114. 180 minus 114 makes 66

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Evaluate the following multiplication expression: -2(11)​
matrenka [14]

Answer:

the answer is negative 22

Step-by-step explanation:

-2 x 11 = -22

4 0
3 years ago
Part 1: Identify the vertex, focus, and directrix of each. Then sketch the graph.
Lina20 [59]

Answer:  \bold{1.\quad \text{Vertex}:(4,-1)\qquad \text{Focus}:\bigg(4,-\dfrac{9}{8}\bigg)\qquad \text{Directrix}:y=-\dfrac{7}{8}}

                \bold{2.\quad \text{Vertex}:(2,1)\qquad \text{Focus}:\bigg(\dfrac{9}{4},1\bigg)\qquad \text{Directrix}:y=\dfrac{7}{4}}            

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k  or  x = a(y - k)² + h

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus
  • -p is the distance from the vertex to the directrix

    \bullet\quad a=\dfrac{1}{4p}

1) y = -2(x - 4)² - 1     →      a = -2   (h, k) = (4, -1)

a=\dfrac{1}{4p}\quad \rightarrow \quad -2=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{8}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{-8}{8}+\dfrac{-1}{8}\\\\.\qquad =-\dfrac{9}{8}\qquad \rightarrow \qquad \text{Focus}=\bigg(4,-\dfrac{9}{8}\bigg)\\\\\\\text{Directrix: y=Vertex - p}\\\\.\qquad \qquad y=\dfrac{-8}{8}-\dfrac{-1}{8}\\\\.\qquad \qquad y=-\dfrac{7}{8}

*******************************************************************************************

2) x = (y - 1)² + 2     →      a = 1   (h, k) = (2, 1)

a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{8}{4}+\dfrac{1}{4}\\\\.\qquad =\dfrac{9}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(\dfrac{9}{4},1\bigg)\\\\\\\text{Directrix: x=Vertex - p}\\\\.\qquad \qquad x=\dfrac{8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=\dfrac{7}{4}

6 0
3 years ago
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Inga [223]

Answer:

The value of f(3) = -2.

Step-by-step explanation:

First of all, let's find f(2).

f(n+1)=f(n)^{2}-3

f(1+1)=f(1)^{2}-3

f(2)=f(1)^{2}-3=2^{2}-3=1

Now, we can find f(3):

f(2+1)=f(2)^{2}-3

f(3)=f(2)^{2}-3=1^{2}-3=-2

Therefore, the value of f(3) = -2.

I hope it helps you!

4 0
3 years ago
If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possib
S_A_V [24]

9514 1404 393

Answer:

  E.  16

Step-by-step explanation:

If the order of points on the line is ABCD, the distance between A and D is ...

  AB +BC +CD = 5 + 9 + 3 = 17

If the order of points on the line is BADC, the distance between A and D is ...

  BC -BA -DC = 9 -5 -3 = 1

Then the difference between the longest and shortest possible distances AD is ...

  17 - 1 = 16 . . . . matches choice E

5 0
3 years ago
What single decimal multiplier would<br> you use to increase by 17% followed by<br> a 15% decrease?
Delvig [45]

Answer:

i think 1.17 and 0.85

Step-by-step explanation:

8 0
3 years ago
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