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1 year ago

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The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle

theorem to find the length of YX.
Once you you know the length of YX, find the length of the lower base, ZX.
A.14 units
B.10 + 4 StartRoot 3 EndRoot units
C.18 units
D.10 + 8 StartRoot 3 EndRoot units

1 answer:

vredina [299]1 year ago

4 0

Answer:

C. 18 units.

Step-by-step explanation:

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

Therefore, the slope of the line must be $-\frac{1}{3}$

Now, find the y-intercept (b) using the general form of a line with the given slope:

$y=-\frac{1}{3}x +b$

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

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2 years ago

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A new car is purchased for 16500 dollars. The value of the car depreciates at 5.75% per year. What will the value of the car be,

kirill115 [55]

A=16500(1-0.0575)^5
A=16,500×(1−0.0575)^(5)
A=12,271.30

3 0

1 year ago

A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates.

erastova [34]

Answer:

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are <em>N</em> = 50 people in a club.

The position of President is open. And there are <em>x</em> = 4 members running for he post of President.

So, there are <em>n</em> = <em>N</em> - <em>x</em> = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has <em>x</em> = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = <em>n</em> × <em>x</em>

= 46 × 4

= 184

Thus, the number of different possible vote totals is 184.

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1 year ago

Hich expression is equivalent to -4(7 - 2m) + 11m?

Sholpan [36]

Answer:

$- 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}$

<em><u>Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.</u></em>

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1 year ago

Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real

adoni [48]

Step-by-step explanation

<h3>Prerequisites:</h3>

<u>You need to know: </u>

$b^2 - 4ac = 0 \Rightarrow 1 solution$

$b^2 - 4ac > 0 \Rightarrow 2 solutions$

$b^2 - 4ac < 0 \Rightarrow No\ real\ solutions$

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$2x^2-7x-9 = 0$

$b^2 - 4ac$

$-7^2 - 4(2)(-9) = 121$

2 Solutions

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$x^2-4x+4 = 0$

$b^2 - 4ac$

$-4^2 - 4(1)(4) = 0$

1 Solution

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$4x^2-3x-1 = 0$

$b^2 - 4ac$

$-3^2 - 4(4)(-1) = 25$

2 Solutions

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$x^2-2x-8 = 0$

$b^2 - 4ac$

$-2^2 - 4(1)(-8) = 36$

2 Solutions

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$3x^2+5x+3 = 0$

$b^2 - 4ac$

$5^2 - 4(3)(3) = -11$

No Solutions

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1 year ago

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