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Mekhanik [1.2K]
3 years ago
11

Graph the equation. y = 4(x + 6)(x+4)

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer: thanks for posting an easy question that requires no skill or stress

Step-by-step explanation:

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Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
I really need help with this question
Step2247 [10]

Answer:

option (b) -3(3w-3.1)

7 0
3 years ago
Read 2 more answers
Nevaeh is decorating the Christmas tree. She has 85 red bulbs, 76 green bulbs, 49 yellow bulbs, and 52 blue bulbs.
vodka [1.7K]

Answer:

A) Red and Blue Bulbs

B) 262 lightbulbs.

Step-by-step explanation:

A) red and blue = 85+52=137

Yellow and green = 76+49=125

Answer to A is Red and Blue bulbs

Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.

Hope this helps plz hit the crown :D

5 0
3 years ago
Deandre's goal is to find a job that provides an income of at least $75,000 a year. Ashley's Furniture offers him a job paying a
alekssr [168]

Answer:

  at least $1,050,000

Step-by-step explanation:

Deandre's salary will be ...

  12000 + 0.06·sales

He wants that to be at least 75000, so the sales must meet the requirement ...

  12000 + 0.06·sales ≥ 75000

  0.06·sales ≥ 63000 . . . . . . . . . . . . subtract 12000

  sales ≥ 63000/0.06 . . . . . . . . . . . .divide by 0.06

  sales ≥ 1,050,000 . . . . . . . . . . . . . .evaluate

He will need to have at least $1,050,000 in total sales to have a yearly income at least $75,000.

3 0
2 years ago
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t
vlabodo [156]

Answer:

300 Backpacks each week]

Step-by-step explanation:

dont have an explanation srry but the answer is totally 300 backpacks a week

4 0
3 years ago
Read 2 more answers
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