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Taya2010 [7]
4 years ago
7

Expand and simplyfy 4(2x+3) +4(3x+2)

Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
4 0

Answer:

x=1 I'm not sure if I'm correct

Step-by-step explanation:

4x2x=8x

4x3=12

4x3x=12x

4x2=8

8x+12=12x+8

8x-12x= 8-12

-4x=-4 divide -4x in both side so the answer should be x=1

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What are the coordinates of the midpoint of the line segment with endpoints A (-12,3) and B (8,-4)?
koban [17]

Answer:

D.

Step-by-step explanation:

Add the x values and divide by the amount of x's and same with the y's

7 0
3 years ago
Two fifths of the girls in school signed up to play softball. An equal number of girls signed up to play pitcher, infield and ou
podryga [215]

The fraction of the girls signed up to play outfield is \frac{2}{15}

<em><u>Solution:</u></em>

Given that Two fifths of the girls in school signed up to play softball

An equal number of girls signed up to play pitcher, infield and outfield

So there are 3 equal groups formed from two fifth

This means that we could divide the 2/5 initial group into 3 equal smaller groups for each play pitcher, infield and outfield

Therefore, fraction of the girls signed up to play outfield is found by dividing \frac{2}{5} by 3

\text{ Fraction of girls play outfield } = \frac{\frac{2}{5}}{3}\\\\\text{ Fraction of girls play outfield } = \frac{2}{5} \times \frac{1}{3}\\\\\text{ Fraction of girls play outfield } = \frac{2}{15}

Thus fraction of the girls signed up to play outfield is \frac{2}{15}

4 0
4 years ago
Can you say it in order pls
katrin2010 [14]

Answer:

20 is 45

25 is 50

Step-by-step explanation:

7 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
This is khan and I have 10 more problem academy. Some help please?
LenKa [72]

Answer:

67 degrees

Step-by-step explanation:

the shape is a tryangle so it will have the same angle measurements, just make sure you look if it has the slash next to the letter or not in the future

Hope this helps girly!!

7 0
4 years ago
Read 2 more answers
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