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4 years ago

14

How many integers between 2000 and 3999 have a ones digit that is a prime number?

1 answer:

gulaghasi [49]4 years ago

4 0

It would be 1000? or not

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Line L has equation 2x - 3y = 5. Line M passes through the point (2, -10) and is perpendicular to line L. Determine the equation

Whitepunk [10]

C has to be the right one

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4 years ago

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Anna makes more money than Nancy use the graph at the right to make a table and write a rule for the relationship between their

klasskru [66]

Answer: Nancy = X , Anna = Y X rule is plus 8 and Y rule is plus 12

Step-by-step explanation:

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3 years ago

Write the percent as a decimal.<br>18.5%<br>=

romanna [79]

Answererrrr issss 0.185

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3 years ago

3²+3[2³(√49 - 2²)(3² - 2³)-2²}

lukranit [14]

$3^2+3[2^3( \sqrt{49}-2^2)(3^2-2^3)-2^2]$

Right off the bat, this may look crazy, but if we take it step by step, it will be much easier. So, let's take it step by step. If any step doesn't make sense to you, you can always hmu.

$9+3[8( 7-4)(9-8)-4]$
$9+3[8( 3)(1)-4] = 9+3[24-4] = 9+3[20]$
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Your answer is 69.

6 0

4 years ago

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

Solnce55 [7]

<u><em>The coordinates of the points A and B are not given. We'll assume: A(3,1) B(12,-5)</em></u>

Answer:

<em>The coordinates of E are (6,-1)</em>

Step-by-step explanation:

<u>Partition of a Segment</u>

The length of segment directed from A(xa,ya) to B(xb,yb) can be decomposed in its x,y coordinates:

$x_{AB}=x_b-x_a$

$y_{AB}=y_b-y_a$

If a point E is to be in the segment and partition it into a ratio 1:2, then

\displaystyle \frac{x_{AE}}{{x_{EB}}=\frac{y_{AE}}{{y_{EB}}=\frac{1}{2}

But

$x_{AE}=x_e-x_a$

$y_{AE}=y_e-y_a$

$x_{EB}=x_b-x_e$

$y_{EB}=y_b-y_e$

Then we set the equation:

$\frac{x_{AE}}{{x_{EB}}=\frac{1}{2}$

$2(x_e-x_a)=x_b-x_e$

Operating and rearranging

$3x_e=x_b+2x_a$

Solving

$\displaystyle x_e=\frac{x_b+2x_a}{3}=\frac{12+6}{3}$

$x_e=6$

Similarily

$\displaystyle y_e=\frac{y_b+2y_a}{3}=\frac{-5+2}{3}$

$y_e=-1$

The coordinates of E are (6,-1)

8 0

4 years ago

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