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Taya2010 [7]
3 years ago
7

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

Mathematics
1 answer:
Aleonysh [2.5K]3 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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Write the equation for a parabola with a focus at (-7,-5) and a directrix at x = -4
Nataliya [291]

Answer:

y² + 10y + 6x + 58 = 0

Step-by-step explanation:

Focus of the parabola has been given as (-7, -5) and directrix as x = -4

Let a point on the parabola is (x, y).

By the definition of a parabola, "distance of a point on parabola is equidistant from focus and directrix".

Distance from focus of the given point = \sqrt{(x+7)^2+(y+5)^2}

Distance of the point from directrix = \sqrt{(x+4)^2}

Therefore, equation of the parabola will be,

\sqrt{(x+7)^2+(y+5)^2}=\sqrt{(x+4)^2}

(x+7)^2+(y+5)^2=(x+4)^2

x² + 14x + 49 + y² + 10y + 25 = x² + 8x + 16

y² + 14x + 10y + 74 = 8x + 16

y² + 10y + 6x + 58 = 0

6 0
2 years ago
Read 2 more answers
James pays $120.00 for golf clubs that are on sale for 20% off at Golf Pros. At Nine Iron, the same clubs cost $8.00 less than t
Misha Larkins [42]
The original price of the clubs will be $135.

If the clubs at Nine Iron are $8 less than Golf Pros, they are 112.
120 - 8 = 112

Now, we just have to find the original price. We can write and solve the equation below to find the original price.

x (0.83) = 112    Divide both sides by 0.83

x = $135
6 0
3 years ago
suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated pa
Monica [59]

Answer:

=1050 wildebeests

Step-by-step explanation:

We can form an arithmetic series for the wildebeest migration.

Sₙ=n/2(2a+(n-1)d) where  n is the number of terms, d is the common difference and a is the first term.

a=24

n=20

d=3

Sₙ=(20/2)(2(24)+(20-1)3)

Sₙ=10(48+57)

=1050 wildebeests

6 0
3 years ago
3x+1=8x-24 helpppppppp
Irina18 [472]

3x+1 =8x -24

3x -8x +1 = -24

-5x +1 = -24

-5x = -24 -1

-5x = -25

x = -25/-5 = 5

x = 5

4 0
3 years ago
Read 2 more answers
Image to help also needed asap :/
RideAnS [48]

Answer:

Its c/2

Step-by-step explanation:

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