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3 years ago

Which expression is a perfect cube ? X^6 Y^24 M^28 S^64

Mathematics

2 answers:

ella [17]3 years ago

6 0

Answer:

Y^24

Step-by-step explanation:

got a hundo on the quiz

guapka [62]3 years ago

5 0

Answer: S^64

Step-by-step explanation:

S^4 - 4.4.4 = 64

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Pencil cores are glued between slabs of cedar to make a pencil sand which. A total of 52,500 pencil sandwiches are made over 5 d

raketka [301]

Answer:

10,500

Step-by-step explanation:

You must divide 52,500 by 5.

5 goes into the 5 in 52,500 one time. 5-5 is 0. 5 doesn't go into 2 so put a 0. 5 goes into 25 five times. 25-25 is 0. 5 goes into 5 one time. subtract and add the zeros at end. And you get 10,500

8 0

3 years ago

Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

Aleksandr [31]

4(x + 15) > = 120
4x + 60 > = 120
4x > = 120 - 60
4x > = 60
x > = 60/4
x > = 15...........so ur answer is 15 or more

4 0

3 years ago

What value of w that makes the equation true 2/3(w+3) = 7

alexdok [17]

The answer is 7.5 or 15/2

3 0

3 years ago

Find a solution of the linear inequality.<br> y>_4x-5

irga5000 [103]

Answer:

(0,0) is among the solutions

Step-by-step explanation:

The given inequality is $y\ge4x-5$

A solution to this inequality is any ordered pair that satisfies the inequality.

Let us check for x=0 and y=0

We substitute to get:

$0\ge4*0-5$

$0\ge-5$ ....This is true.

Therefore (0,0) is a solution to the given inequality.

There are infinitely many solutions.

4 0

3 years ago

a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

3 years ago