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Vsevolod [243]
2 years ago
5

Find x so that b ll e??????

Mathematics
1 answer:
tekilochka [14]2 years ago
8 0

x=6


(6x+4) = (8x-8)


∠3 and ∠6 have to be equal since they are opposite interior angles (these angles are always equal to each other). Opposite interior angles prove that two lines are parallel if they are equal, so you just set them equal to each other and solve for x.


(6x+4) = (8x-8)

-6x -6x

4 = (2x-8)

+8 +8

12 = 2x

/2 /2

6 = x


CHECK

(6x+4) = (8x-8)

(6[6]+4) = (8[6]-8)

(36+4) = (48-8)

40 = 40

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Answer:true

Explanation:
24+24=48
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40x2=80
80=80!

So it is true.
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4m - 9= 31<br><br> I can’t remember how to work this out. Can someone help?
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10

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What is the word form of the number 602,107?
Nadusha1986 [10]
<span><u>Answer</u>
Six hundred and two thousand, one hundred and seven.

<u>Explanation </u>
When writing numbers in words you consider the place value of the digits forming that number. A digit is defined by its place value.
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3 0
3 years ago
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?
Artyom0805 [142]

Answer:

y=\frac{1}{6} (x-4)-\frac{9}{2}

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}

∴ y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}

∴ y=\frac{1}{6} (x-4)-\frac{9}{2}

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0
3 years ago
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