All categories

3 years ago

Is y= x + 2 and y= -x + 3 perpendicular lines?

Mathematics

2 answers:

Vlad [161]3 years ago

8 0

I believe y=x+2 and y=-x+3 are perpendicular lines.

lidiya [134]3 years ago

8 0

Yes they are because when when you multiply the slopes you get -1

You might be interested in

In a survey of U.S. adults with a sample size of 2062,330said Franklin Roosevelt was the best president since World War II. Two

tigry1 [53]

Answer:

a) 0.0255

b) 0.7050

c) 0.2945

Step-by-step explanation:

Probability that one of those sampled saying that Roosevelt was the best president since World War II = 330/2062 = 0.16

Probability that one of those sampled don't mention Roosevelt = (2062 - 330)/2062 = 1732/2062 = 0.84

a) The probability that both adults picked say Franklin Roosevelt was the best president since World War II = (330/2062) × (329/2061) = 0.0255

b) The probability that neither of the two adults say Franklin Roosevelt was the best president since World War II = (1732/2062) × (1731/2061) = 0.7050

c) The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = Probability that one of the two adults mention Roosevelt + Probability that the two adults mention Roosevelt

Probability that one of the adults mention Roosevelt = [(330/2062) × (1732/2061)] + [(1732/2062) × (330/2061)] = 0.269

Probability that two of the adults mention Roosevelt has been done in (a) and it is equal to 0.0255

probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = 0.269 + 0.0255 = 0.2945

3 0

2 years ago

The solution to (d+4)^2=9 is D=

Allushta [10]

Answer:

$\boxed{\sf d = -1 \ \ \ or \ \ \ d = -7}$

Step-by-step explanation:

$\sf Solve \: for \: d \: over \: the \: real \: numbers: \\ \sf \implies {(d + 4)}^{2} = 9 \\ \\ \sf Take \: the \: square \: root \: of \: both \: sides: \\ \sf \implies \sqrt{ {(d + 4)}^{2} } = \sqrt{9} \\ \\ \sf 9 = {3}^{2} : \\ \sf \implies \sqrt{ {(d + 4)}^{2} } = \sqrt{ {(3)}^{2} } \\ \\ \sf \implies d + 4 = \pm 3 \\ \\ \sf \implies d + 4 = 3 \: \: \: \: \: or \: \: \: \: \: d + 4 = - 3 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies d + (4 - 4)= 3 - 4 \: \: \: \: \: or \: \: \: \: \: d + (4 - 4) = - 3 - 4 \\ \\ \sf \implies d = - 1 \: \: \: \: \: or \: \: \: \: \: d = - 7$

4 0

2 years ago

Read 2 more answers

Runner a averages 5 mph and run it B rat averages 6 mph these rates how much longer does it take runner A then runner be to run

Kipish [7]

Takes runner A 18 more minutes

8 0

3 years ago

The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?

Marizza181 [45]

Answer:

Approximately 17.88x or $8x\sqrt{5}$

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be $\sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}}$ which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x or if you simplify the radical instead it's $8x\sqrt{5}$

4 0

3 years ago

Find the slope of the line that contains the points named.

8090 [49]

Answer:

M= 0

Step-by-step explanation:

the ys are the same

6 0

2 years ago