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3 years ago

Find the value of X. What does X=?

Mathematics

2 answers:

Svetllana [295]3 years ago

3 0

Answer:

x = -6

Step-by-step explanation:

In this equilateral triangle, all sides are congruent. Thus, all angles are generally congruent as well. This is a 60-60-60 triangle. So,

66 + x = 60

x = -6

Masteriza [31]3 years ago

3 0

Answer:

209393

Step-by-step explanation:

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Find the slope between the points (-4,5) and (-8,-5)

kakasveta [241]

Answer:

$\frac{5}{2} \\$

Step-by-step explanation:

$\frac{ - 5 - 5}{ - 8 - - 4}$

Y - Y divided by X - X, the Y is 5 and the X is 2 (Rise over Run)

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3 years ago

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A spinner used for a game is divided into 3 sections: yellow, green, and orange. Janie spins the spinner 20 times. The spinner l

azamat

2/3 is the answer. Try not to overthink these answers because they’re usually quite simple in the end. :)

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3 years ago

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Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\$

$\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}$

7 0

3 years ago

Part A- Which could be the total number of solutions to the system of equations?

Sladkaya [172]

A) No solutions

B) It's because the question gives you that both lines have the same slope. Remember that having the same slope makes the two lines parallel, which means they'll never intersect.

5 0

3 years ago

A chemist wants to make 45 ml of a 17% acid solution by mixing a 13% acid solution and a 19 % acid solution. How many milliliter

liq [111]

Answer:

22 millilitres of 13% solution

23 millilitres of 19% solution

Step-by-step explanation:

A + B = 45

13A + 19B = 45 x 17 = 765

-13A - 13B + 13A + 19B = -650 + 765 = 115

5B = 115

B = 23

22 + 23 = 45

A = 22

6 0

2 years ago