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vredina [299]
2 years ago
15

What are the solutions of 8x{2}=6+22x

Mathematics
1 answer:
Olenka [21]2 years ago
3 0
8x^2=6+22x\ \ \ \ |-22x-6\\\\8x^2-22x-6=0\ \ \ |:2\\\\4x^2-11x-3=0\\\\4x^2-12x+x-3=0\\\\4x(x-3)+1(x-3)=0\\\\(x-3)(4x+1)=0\iff x-3=0\ \vee\ 4x+1=0\\\\x-3=0\ \ \ |+3\\x=3\\\\4x+1=0\ \ \ |-1\\4x=-1\ \ \ |:4\\x=-0.25

Answer: x = 3 or x = -0.25
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ashley is baking a cake shaped as a right triangle. Two of the angles are measurement of 5x and 10x. What is the value of x?
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Answer:

A. 6

Step-by-step explanation:

Since, cake is of right triangled shape, so measure of its one angle would be 90° and the sum of the measures of the remaining two angles will also be equal 90°.

Therefore,

5x +10x = 90

15x = 90

x = 90/15

x = 6

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2 years ago
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Step-by-step explanation:

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A quadrilateral with no acute angels
Fynjy0 [20]

Answer:

Below.

Step-by-step explanation:

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Another is a rectangle.

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3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}

10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}

Since both products are equal, then the ratios are equivalent.

4 0
9 months ago
What is the equation of the parabola?
Neporo4naja [7]

Answer:

y = -1/8 x² + 5

Step-by-step explanation:

Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)

basic formula: y = a(x - h)² + k

y = a (x-0)² + 5

y = ax² + 5         pass (4,3)

3 = 16a + 5

a = (3-5)/16 = -1/8

equation: y = -1/8 x² + 5

check: pass another point (-4,3)

-1/8 * (-4)² + 5 = -2 + 5 = 3

5 0
3 years ago
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