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3 years ago

Area in sq. in. = 3/5 in. X 3 1/2 in.

Mathematics

1 answer:

nexus9112 [7]3 years ago

6 0

Answer:

3/5 X 3 1/2 = 3/5 X 7/2 = 21/10 = 2.1 in²

Step-by-step explanation:

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t costs $19.50 for postage and $6 for insurance to send a one-pound box by Express Mail.How much does it cost to send 12 one-pou

____ [38]

$19.50 multiplied by 12 is $234 and $6 multiplied by 12 is 60 so 234 dollars plus 60 dollars equals $294 dollars

6 0

3 years ago

Find the distance from the point to the line. (-1,-2,1);x=4+4t, y=3+t, z=6-t .The distance is ____ Typn exact answer, using radi

lawyer [7]

Answer:

The distance is<u> 4.726 </u>

Step-by-step explanation:

we need to find the distance from the point to the line

Given:- point (-1,-2,1) and line ; x=4+4t, y=3+t, z=6-t .

used formula $d=\frac{|a\times b|}{|a|}$

Let point P be (-1,-2,1)

using value t=0 and t=1

The point Q (4 , 3, 6) and R ( 8, 4, 5)

Let a be the vector from Q to R : a = < 8 - 4, 4 - 3, 5 - 6 > = < 4, 1, -1 >

Let b be the vector from Q to P: b = < -1 - 4, -2 - 3, 1 - 6> = < -5, -5, -5 >

The cross product of a and b is:

$a \times b= \begin{vmatrix} i & j & k\\ 4 &1&-1\\-5 &-5&-5\\ \end{vmatrix}$

= -6i+15j-15k

The distance is : $d=\frac{\sqrt{(-6)^{2}+(15)^{2}+(-15)^{2}}}{\sqrt{(4)^{2}+(1)^{2}+(-1)^{2}}}$

$=\frac{\sqrt{36+225+225}}{\sqrt{16+1+1}}$

$d=\frac{\sqrt{486}}{\sqrt{18}}$

≈4.726

Therefore, the distance is<u> 4.726 </u>

3 0

3 years ago

Which statement is true about the y-intercept of a quadratic function?

Dafna11 [192]

Answer:

Step-by-step explanation:

A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.

Choice B contradicts the previous statement.

Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.

Choice D is wrong because the y-intercept is where x = 0.

I hope this helps!

3 0

3 years ago

What does the distributive property combine to make multiplying whole numbers easier?

IgorC [24]

An algebra property whuch is used to multiply a single term and two or more terms inside a set of parentheses

5 0

4 years ago

Peter noticed that his house# is divisible by both 72 and 112.

Sedbober [7]

Answer:

1008
3024

Step-by-step explanation:

1) The greatest common factor of 72 and 112 is 8, so the least common multiple is ... 72×112/8 = 1008.

The least common multiple of 72 and 112 is 1008.

2) The house number will be a multiple of 1008 between 3000/1008 = 2.98 and 4000/1008 = 3.96. The only integer in that range is 3, so Peter's house number is ...

3 × 1008 = 3024

Peter's house number is 3024.

6 0

4 years ago