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Dennis_Churaev [7]
3 years ago
15

MARKING BRAINLIEST For what value of x makes the polygon below a rhombus?

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

x=7

Step-by-step explanation:

In order for this figure to be a rhombus, the interior sides have to  add up to 180, and the angle not given by an expression has to be 90.

90+8x+7+3x+6=180

Combine like terms

90+11x+13=180

103+11x=180

Subtract 103 from both sides

11x=77

Divide both sides by 11

x=7

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11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola
lbvjy [14]

11. The given parabola has equation: f(x)=-3x^2-18x-35

We complete the square to have the function in the vertex form: f(x)=-3(x^2+6x)-35

f(x)=-3(x^2+6x+9)+3*9-35

f(x)=-3(x^2+6x+9)+27-35

f(x)=-3(x+3)^2-8

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12.  We know the graph of y=x^2  is a parabola that opens up and has its minimum point at the origin.

The range of this function is y\ge 0

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect y=x^2 and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

 14.  We want to find the zeros of x^2+21x=5x-63

x^2+21x-5x+63=0

x^2+16x+63=0

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15. The given quadratic expression is 6x^2-17x+10

We split the middle term to obtain:

6x^2-12x-5x+10=0

We factor by grouping to get:

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8 0
4 years ago
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For the first part, you can start by making the denominators same

you take the LCM of 3 and 5 which is 15

Language books are now 10/15 since you multiply the nominator and denominator by 5

While science books are 3/15

10/15 : 3/15 making it obvious that language books are more

if the remaining are math books then

total books - (language + science books) = math books

10/15 + 3/15 = 13/15 (non math books)

15/15 - 13/15 are math books making 2/15 of them math books

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x = 12

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3 years ago
The symbols &lt;, &gt;, ≤, ≥ are called
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Given:

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To find:

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We know that,

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Therefore, the correct option is B.

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