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Mama L [17]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
Masja [62]3 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

Two secants drawn from an external point to the circle.

The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is

(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)

(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL

3x² - 12 = 3x² - x - 4  ( subtract 3x² - x - 4 from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

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Which is the value of this expression when p=-2 and q=-1?
saul85 [17]

Answer:

D. 4

Step-by-step explanation:

[(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\=p^{2}\times q^{-4} \\\\= \frac{p^2}{q^4}\\\\= \frac{(-2)^2}{(-1)^4}\\\\= \frac{4}{1}\\\\= 4

8 0
3 years ago
If the m angle 2 = 113 what is the angle 6
dmitriy555 [2]

m < 6 = m < 2  because they are corresponding angles

So m < 6 = 113 degrees   answer

8 0
3 years ago
At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0
4 years ago
Use any order, any grouping to write an equivalent expression: 3(2x) + 4y(5) + (4 x 2 x z)
enyata [817]

Answer:

We conclude that the equivalent expression is:

3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z

Step-by-step explanation:

Given the expression

3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)

Remove parentheses: (a) = a

=3\times \:2x+4\times \:5y+4\times \:2z

Multiply the numbers: 3 ×  2 = 6

=6x+4\times \:5y+4\times \:2z

Multiply the numbers: 4 × 5 = 20

=6x+20y+4\times \:2z

Multiply the numbers: 4 × 2 = 8

=6x+20y+8z

Thus, we conclude that the equivalent expression is:

3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z

8 0
3 years ago
What is the simplified form of the expression?
Veronika [31]

Question 2 options:

x33

729x29

4 0
4 years ago
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