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2 years ago

Can someone help me solve these three problems please??

Mathematics

1 answer:

Tasya [4]2 years ago

4 0

I'll solve 21, and you then should be able to solve the rest on your own!

Since ADC is 135, that means that that whole angle is 135 degrees. In addition, since angles ADB and BDC add up to ADC, we get ADB+BDC=ADC=135=11x+9+7x=18x+9. Subtracting 9 from both sides, we get 126=18x. Dividing both sides by 18, we get x=7. Plugging that into 11x+9=BDC, we get 11*7+9=77+9=86

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What are the solutions of 4x+8<img src="https://tex.z-dn.net/?f=%5Cleq%20%5C%5C" id="TexFormula1" title="\leq \\" alt="\leq \\"

Fynjy0 [20]

Answer: x≤−7

Step-by-step explanation:

hope that helps

4 0

2 years ago

Reptile [31]

Answer:

The real zeros of f(x) are x = 0.3 and x = -3.3.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$f(x) = x^{2} + 3x - 1$

$a = 1, b = 3, c = -1$

$\bigtriangleup = 3^{2} - 4*1*(-1) = 13$

$x_{1} = \frac{-3 + \sqrt{13}}{2*1} = 0.3$

$x_{2} = \frac{-3 - \sqrt{13}}{2*1} = -3.3$

The real zeros of f(x) are x = 0.3 and x = -3.3.

7 0

2 years ago

2y = 3x + 4<br> 2x = -3y - 7

anygoal [31]

Answer:

x= -2.........&.........y= -1

Step-by-step explanation:

(x,y)=(-2,-1)

7 0

2 years ago

Mike has a collection of 16 antique tin toys, including 2 airplanes. If Mike randomly selects a toy, what is the probability it

myrzilka [38]

Answer:

C. 1/8

Step-by-step explanation:

This is because the number two goes into sixteen eight times. This is the simplest form of the fraction.

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2 years ago

Elizabeth likes to trek with her friends during the weekend, which is also a great way to socialize and stay fit. What type is t

tresset_1 [31]

Answer:

D. a complex sentence

Step-by-step explanation:

A. is incorrect because it does not include a conjunction to connect the two sentences.

B. is incorrect because the sentence is not asking a question.

C. is incorrect because the sentence includes two sentences.

D. is correct because a complex sentence includes and independent clause(elizabeth likes to trek with her friends during the weekend) and a dependent clause( which is also a great way to socialize and stay fit)

6 0

2 years ago

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