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3 years ago

What is the distance between the points (-7 , 24) and (7 , 24) in the coordinate plane?

Mathematics

1 answer:

weeeeeb [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Given points are (-7,24) and (7,24) .

We can use the Distance Formula as ,

=> Distance = √{ (y2 - y1)² + (x2 - x2)²}

=> Distance = √{ (24-24)² + (-7-7)²}

=> Distance = √{ 0 + 14² }

=> Distance = √14²

=> Distance = 14 units .

Hence the required answer is 24 units.

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Simplify the algebraic expression 3/4(4x-8y)

kompoz [17]

Answer:

3x-6y

Step-by-step explanation:

3/4(4x-8y)

3/4×(4x-8y)

3/4×4(x-2y)

3×1(x-2y)

3x-6y

6 0

2 years ago

I have to solve 3x^2+5x=2 but Im having some confusion.

stellarik [79]

It´s x = 2
I´m positive that is right

5 0

3 years ago

Which expression correctly represents 10 times the difference of a number and six

Oksanka [162]

Answer:

10(6 - x) or 10(x - 6)

Step-by-step explanation:

Let the number be x.

Answer: 10(6 - x) or 10(x - 6)

4 0

3 years ago

Prove the following identity : Sin α . Cos α . Tan α = (1 – Cos α) (1 + Cos α)

Umnica [9.8K]

Let's work on the left side first. And remember that
the tangent is the same as sin/cos.

sin(a) cos(a) tan(a)

Substitute for the tangent:

[ sin(a) cos(a) ] [ sin(a)/cos(a) ]

Cancel the cos(a) from the top and bottom, and you're left with

[ sin(a) ] . . . . . [ sin(a) ] which is [ sin²(a) ] That's the left side.

Now, work on the right side:

[ 1 - cos(a) ] [ 1 + cos(a) ]

Multiply that all out, using FOIL:

[ 1 + cos(a) - cos(a) - cos²(a) ]

= [ 1 - cos²(a) ] That's the right side.

Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.

So, on the right side, you could write [ sin²(a) ] .

Now look back about 9 lines, and compare that to the result we got for the left side .

They look quite similar. In fact, they're identical. And so the identity is proven.

Whew !

4 0

3 years ago

Read 2 more answers

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.

Vinvika [58]

Answer:

The point estimate for population mean is 8.129 Mpa.

Step-by-step explanation:

We are given the following in the question:

Data on flexural strength(MPa) for concrete beams of a certain type:

11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0

a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured