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3 years ago

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Compare 4 x 105 and 5 x 103. A) 4 x 105 is 80 times larger than 5 x 103 B) 4 x 105 is 8 times larger than 5 x 103 Eliminate C) 4

x 105 is twice as large as 5 x 103 D) 5 x 103 is 80 times larger than 4 x 105

1 answer:

vova2212 [387]3 years ago

6 0

The answer is 80 times larger than 5 x 10^3

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S is the centroid of the triangle. Find IT if ST= 9

Burka [1]

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

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2 years ago

Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2

sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

$ax + by = c$

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following point-slope equation of a line:

$y+4 = -\frac {2} {3}(x-12)$

The slope is:

$m_ {1} = - \frac {2} {3}$

We find the slope $m_ {2}$ of a perpendicular line:

$m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}$

Thus, the equation is of the form:

$y-y_ {0} = \frac {3} {2} (x-x_ {0})$

We have the point through which the line passes:

$(x_ {0}, y_ {0}) :( 2, -3)$

Thus, the equation is:

$y - (- 3) = \frac {3} {2} (x-2)\\y + 3 = \frac {3} {2} (x-2)$

We manipulate algebraically:

$y + 3 = \frac{3} {2} x- \frac {3} {2} (2)\\y + 3 = \frac{3} {2} x-3$

We add 3 to both sides of the equation:

$y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x$

We multiply by 2 on both sides of the equation:

$2(y + 6) = 3x\\2y + 12 = 3x$

We subtract 3x on both sides:

$2y-3x + 12 = 0$

We subtract 12 from both sides:

$2y-3x = -12$

ANswer:

$-3x + 2y = -12$

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2 years ago

If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?

Misha Larkins [42]

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

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3 years ago

Graph the function and find the range

kramer

The answer for the graph would be C. While x is less than or equal to 0, there is the graph of -4x. While x is greater than x, there is the graph of -5 (horizontal line). Furthermore, the closed dot at the end of the -4x represents the less than or EQUAL TO. The dot at the end of the -5 is open because it is only true when x > 0.

The range (y-values where the graph exists) is [-5]∪[0, infinity)

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kotykmax [81]

The answer is 1,2,4,6,8 because the circle has a circumference of 9

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2 years ago

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