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4 years ago

Please help me with this question guys, I’m going to fail:(

Mathematics

1 answer:

Sauron [17]4 years ago

6 0

Answer:

Step-by-step explanation:

uv = u1v1 + u2v2 = (1/3)*18 + 4*(-3/2) = 6 - 6 = 0

Because uv=0, these 2 vectors are orthogonal.

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Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?

amm1812

Answer:

Number of books she has not read =8

Step-by-step explanation:

Number of books Tara has=160

Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152

Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8

8 0

4 years ago

Solve for X help please :)

castortr0y [4]

Answer:

Step-by-step explanation:

4x -39 > -43 8x + 31 < 23

Add 39 to both sides Subtract 31 from both sides

4x -39 + 39 > -43 + 39 8x + 31 - 31 < 23 - 31

Simplify Simplify

4x > -4 8x < -8

Divide both sides by 4 Divide both sides by 8

4x / 4 > -4 / 4 8x / 8 < -8 / 8

Simplify Simplify

x > -1 x < -1

Answer: A

3 0

4 years ago

Two prime numbers that equal 75

Ber [7]

5 and 3 are two primary numbers for this question

4 0

3 years ago

Read 2 more answers

Would this be Side Side side

kifflom [539]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

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