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3 years ago

Simplify: 17b + 82c + 90 + e - 18 - 10c - b

Mathematics

1 answer:

algol133 years ago

4 0

Hopes this helps:

Answer: 16b+ 72c+72+e

(17b- b) + (82c- 10c) + (90- 18) + e

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I do not know the second point

Elden [556K]

Answer:

y = 1250

Step-by-step explanation:

$y = 10 * 5^{x}$

x = 3

y = y

Substitute x into equation

$y = 10 * 5^{3}$

Simplify $5^{3}$

y = 10 * 125

y = 1250

Hope this helps :)

3 0

3 years ago

Solve: 5 | x + 2 | + 2 > 7 The answer has the form: ( − ∞ , A ) ∪ ( B , ∞ ) ( A , B ) State your solution using interval nota

aliina [53]

Given:

$5|x-3|+3>7$

Aim:

We need to find the value of x.

Explanation:

Subtract 3 from both sides of the equation.

$5|x-3|+3-3>7-3$

$5|x-3|>4$

Divide both sides of the equation by 5.

$\frac{5}{5}|x-3|>\frac{4}{5}$

$|x-3|>\frac{4}{5}$

Square both sides.

$(x-3)^2>(\frac{4}{5})^2$

$(x-3)^2>\frac{16}{25}$

$x^2-6x+9>\frac{16}{25}$

multiply

$x^2-6x+9>\frac{16}{25}$

7 0

2 years ago

Can someone give me the right answer for this please? I'm so confused

photoshop1234 [79]

Answer:

JK = 18

Step-by-step explanation:

LK = x - 1

KJ = x + 11

LJ = LK + KJ = x - 1 + x + 11

-> LJ = 2x + 10

LM = 12

By tangent secant segment theorem:

$LK \times LJ = JM^2 \\ \\ \implies \: (x - 1)(2x + 10) = {(12)}^{2} \\ \\ \implies \: x (2x + 10) - 1(2x + 10) = 144\\ \\ \implies \: 2x^{2} + 10x - 2x - 10 - 144 = 0\\ \\ \implies \: 2x^{2} + 8x - 154 = 0\\ \\ \implies \: 2(x^{2} + 4x - 77) = 0\\ \\ \implies \: x^{2} + 4x - 77 = 0\\ \\ \implies \: x^{2} + 11x - 7x- 77 = 0\\ \\ \implies \: x(x + 11) - 7(x + 11) = 0\\ \\ \implies \: (x + 11) (x - 7) = 0 \\ \\ \implies \: (x + 11) = 0 \: \: or \: \: (x - 7) = 0 \\ \\ \implies \: x = - 11 \: \: or \: \: x = 7 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 11 \\ \\ \implies \: x = 7 \\ \\ \implies \: JK = x + 11 = 7 + 11 \\ \\ \implies \: \huge \: { \orange{JK =18}}$