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3 years ago

What simplified expression is equivalent to the expression -1/2 (-3/2 +6+1)−3?

Mathematics

1 answer:

Fed [463]3 years ago

7 0

Answer:

-23/4

Step-by-step explanation:

add everything in the ()

your'e left then with -1/2(11/2)-3

then multiply

and get -11/4-3

when you subtract you are left with -23/4

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Dimas [21]

Lol literally what jkjk

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3 years ago

Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225

kkurt [141]

Answer:-

900

Verification:-

$\\ \sf\longmapsto \dfrac{900}{5}=180$

$\\ \sf\longmapsto \dfrac{900}{10}=90$

$\\ \sf\longmapsto \dfrac{900}{15}=6$

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3 years ago

Read 2 more answers

"A ramp rises 1.5 feet for every 18 feet of horizontal distance it covers."

pishuonlain [190]

A ramp rises 1.5 feet for every 18 feet of horizontal distance. Basically the for is what gives it away. You could also just go with the fact that the x variable normally goes left to right (horizontal) and y goes up and down (Rises and falls) which gives you the same thing. The 1.5 feet is y and 18 feet is x

8 0

3 years ago

Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.

ladessa [460]

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

$\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)$

$\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)$

On comparing both sides, we get

$\dfrac{1+a}{2}=\dfrac{3}{2}$

$1+a=3$

$a=3-1$

$a=2$

Similarly,

$\dfrac{2+b}{2}=\dfrac{2}{2}$

$2+b=2$

$b=2-2$

$b=0$

And,

$\dfrac{1+c}{2}=\dfrac{-1}{2}$

$1+c=-1$

$c=-1-1$

$c=-2$

Hence, the coordinates of vertex S are (2,0,-2).

4 0

3 years ago

A number is written with the following factorization: 2^2 × 3 × 5^4 × 11^2. Is this factorization a prime factorization? Explain

tankabanditka [31]

It is a prime factorization because each base (2,3,5, and 11) is a prime number.

A prime number is one where the only factors of it are 1 and itself.

factors of 2 = 1 and 2
factors of 3 = 1 and 3
factors of 5 = 1 and 5
factors of 11 = 1 and 11

Instead of saying something like 11^2, we could write 11*11. Similarly, 5^4 could be written as 5*5*5*5. Though it's a good idea to use exponents so you make the prime factorization more compact and save time.

The '3' without an exponent is the same as 3^1. You'll often see that exponent of 1 left out. Again this is to save time.

8 0

3 years ago