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2 years ago

This is a fraction. You also have to simplify it.

Mathematics

2 answers:

boyakko [2]2 years ago

7 0

Xy^9/xy^3 that is the answer

Igoryamba2 years ago

3 0

The answer is x^3/y^3

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Factorise 56x + 35. Need to know asap please.

Elena L [17]

The answer is 7(8x+5)

4 0

2 years ago

Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

= $\sqrt{ (6- 2)^{2} + ( 2 +4))^{2} }$

= $\sqrt{ (4)^{2} + ( 6))^{2} }$

= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

THIRD QUESTION
Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

So, the co ordinates of C are (a, b) which is (-1 , 4)


SECOND QUESTION:
Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0

3 years ago

Simplify 4(6 - 2x) - 3(3 - 4x) 4x + 15 15 - 20x 15 - 6x

Leto [7]

Answer:

4x+15 Is the answer

Step-by-step explanation:

4(6−2x)−3(3−4x)

Distribute:

=(4)(6)+(4)(−2x)+(−3)(3)+(−3)(−4x)

=24+−8x+−9+12x

Combine Like Terms:

=24+−8x+−9+12x

=(−8x+12x)+(24+−9)

=4x+15

8 0

2 years ago

Read 2 more answers

Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs

Karolina [17]

Answer:0.15d+30<_100

Step-by-step explanation:

5 0

3 years ago

Please help me with this

zhuklara [117]

Answer:

301.6 ft³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = $\frac{1}{3}$ × area of base × perpendicular height (h)

h can be calculated by using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 6 and h, thus

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = $\sqrt{64}$ = 8

Hence

V = $\frac{1}{3}$ × π × 6² × 8

= $\frac{1}{3}$ × 288π = $\frac{288\pi }{3}$ ≈ 301.6

7 0

2 years ago