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2 years ago

If two lines intersect in a 90° angle what can you save up lines

Mathematics

1 answer:

Anna007 [38]2 years ago

3 0

If two lines intersect in a 90 degree angle the lines are perpendicular.

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Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of

ollegr [7]

Question:

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?

Answer:

x-coordinate of Q is 5

Solution:

Given that,

Point R divides in the ratio 1 : 3

Which means,

Point R divides the line segment PQ internally

The x-coordinate of the point which divides the line segment in ration m:n internally is given as:

$x=(\frac{mx_{2}+nx_{1}}{m+n} )$

Where,

$x$ = x-coordinate of point dividing the segment R = -1

$x_1$ = x-coordinate of P = -3

$x_2$ = x-coordinate of Q = ?

m : n = 1 : 3

m = 1

n = 3

Therefore,

$-1 = \frac{1 \times x_2 + 3 \times -3}{1+3}\\\\-1 = \frac{x_2 -9}{4}\\\\x_2 - 9 = -4\\\\x_2 = 9 - 4\\\\x_2 = 5$

Thus x-coordinate of Q is 5

5 0

2 years ago

Solve: 2/3x - 3/4 = 5 + 5/6x

Slav-nsk [51]

Answer:

$\large\boxed{x=-\dfrac{69}{2}\to x=-34\dfrac{1}{2}\to x=-34.5}$

Step-by-step explanation:

$\dfrac{2}{3}x-\dfrac{3}{4}=5+\dfrac{5}{6}x\qquad\text{multiply both sides by LCD = 12}\\\\12\!\!\!\!\!\diagup^4\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\diagup_1}=(12)(5)+12\!\!\!\!\!\diagup^2\cdot\dfrac{5}{6\!\!\!\diagup_1}x\\\\(4)(2x)-(3)(3)=60+(2)(5x)\\\\8x-9=60+10x\qquad\text{add 9 to both sides}\\\\8x-9+9=60+9+10x\\\\8x=69+10x\qquad\text{subtract}\ 10x\ \text{from both sides}\\\\8x-10x=69+10x-10x\\\\-2x=69\qquad\text{divide both sides by (-2)}\\\\x=-\dfrac{69}{2}$

7 0

3 years ago

A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w

mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47% of the popular vote and and candidate B would receive 44% of the popular vote.

The margin of error was reported to be 3%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0

3 years ago

Two numbers multiply to -24 and add up to -5

svlad2 [7]

Answer:

-8 and 3

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Four consecutive integer numbers that add up to 2. What are the numbers?? -HELP PLS

Alja [10]