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3 years ago

6

The number $12345678910111213..........979899 consists of all the integers from 1 through 99 written back to back. That's a very

big number! Is it a multiple of 9?

1 answer:

matrenka [14]3 years ago

6 0

No. I don't think so. Sorry if I am wrong

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Write the equation of line in slope-intercept form.

Galina-37 [17]

y=3x-7 that's the answer

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3 years ago

A certain drug is made from only two ingredients: compound a and compound

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In total there will be 688 milliliters of compound used 258 from compound B and 430 milliliters of compound A so 688 in total.

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prove that the quadrilateral whose vertices are the points A(-1,1), B(-3,4), C(1,5) and D(3,2) is a parallelogram.

Vsevolod [243]

Answer:

Since $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ , then the quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ . If we know that $A(x,y) =(-1, 1)$ , $B(x,y) =(-3,4)$ , $C(x,y) = (1,5)$ and $D(x,y) = (3,2)$ , then the measure of each vector is, respectively:

$\overrightarrow{AB} = (-3,4)-(-1,1)$

$\overrightarrow{AB} = (-2, 3)$

$\overrightarrow{DC} = (1,5)-(3,2)$

$\overrightarrow{DC} = ( -2,3)$

$\overrightarrow{AD} = (3,2)-(-1,1)$

$\overrightarrow{AD} = (4, 1)$

$\overrightarrow{BC} = (1,5)-(-3,4)$

$\overrightarrow{BC} = (4, 1)$

Since $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ , then the quadrilateral ABCD is a parallelogram.

7 0

3 years ago

Evaluate the following expression: 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2 A. 21 B. –31 C. 30 D. 31

Korolek [52]

Hello! :)

Answer:

$\boxed{=31}$

<u><em>*The answer should be have a POSITIVE sign!</em></u>

Step-by-step explanation:

PEMDAS

Lesson: Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

From left/right.

First, you multiply/divide from left to right.

$24/3=8$

$8+7*2-15/5+6*2$

$7*2=14$

$8+14-15/5+6*2$

$15/5=3$

$8+14-3+6*2$

$6*2=12$

$8+14-3+12$

Then, you add/subtract from left to right.

$14+8=22$

$22-3=19$

$19+12=31$

<u><em>Final answer is 31.</em></u>

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thanks!

5 0

3 years ago

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What is the value of x?

Mashutka [201]

It would be 54°, hope it helped.

7 0

3 years ago