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Allushta [10]
3 years ago
8

What is the value of – 3/15-S1+2sº when s=-3? O –108 оо O 108 O 216

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

- 108

Step-by-step explanation:

Substitute s = - 3 into the expression

- 3 | 15 - (- 3) | + 2(- 3)³

= - 3 | 15 + 3 | + 2(- 27)

= - 3 | 18 | - 54

= - 3 × 18 - 54

= - 54 - 54

= - 108

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Two times a number puls three equals one half of the number plus 30. What is the number
Masja [62]

Answer:18

Step-by-step explanation:2(18)+3=1/2(18)+30

36+3=9+30

39=39

7 0
3 years ago
In the diagram, line segment CD is the perpendicular bisector of line segment AB, and E is a point not on either line that is on
Lelu [443]

Answer:

E would be closer to A

explanation:

if they were the same distance from both A and E it would be a point on the line CD, and if it was closer to E it would be on the other side of line CD.

i hope this is right :/

4 0
3 years ago
Solve the inequality x-4 < - 3.Then graph the solution set.show your work.
bearhunter [10]

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

<u>  + 4    +4</u>                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, <em>less/greater than and/or equal to (such as these ≥ ≤ )</em> signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

8 0
2 years ago
10. rhombus abcd has vertices at a(-2, 7), b(8, 7), c(2, -1), and d (-8, -1).
horrorfan [7]

Answer: 80

Step-by-step explanation:

We can use the formula A=\frac{d_{1}d_{2}}{2}, where d_{1}, d_{2} are the lengths of the diagonals.

By the distance formula,

AC=\sqrt{(-2-2)^{2}+(-1-7)^{2}}=\sqrt{16+64}=4\sqrt{5}\\BD=\sqrt{(-8-8)^{2}+(-1-7)^{2}}=\sqrt{256+64}=8\sqrt{5}

So, the area is \frac{(4\sqrt{5})(8\sqrt{5})}{2}=\boxed{80}

6 0
2 years ago
A lecture hall contains $20$ chairs, all lined in a row. What is the number of ways that five chairs can be chosen, so that no t
patriot [66]

Answer:

Step-by-step explanation:

If we choose chairs having odd number in the row

no of chairs from which selection is made = 10

no of chairs to be selected = 5

no of ways = 10C₅

similarly if we choose hairs having even numbers only ,

similar to above , no of ways

= 10C₅

Total no of ways

= 2 x 10C₅

= 2 x 10 x 9 x 8 x 7 x 6 / 5 x 4x3 x 2 x 1

= 504 .

6 0
3 years ago
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