All categories

3 years ago

In the accompanying diagram of circle o, chords ab and cd intersect at e. if ae x eb = 18 and ed = 6, what is ce?

Mathematics

1 answer:

larisa [96]3 years ago

4 0

Answer:

CE = 3

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

CE × ED = AE × EB , that is

CE × 6 = 18 ( divide both sides by 6 )

CE = 3

You might be interested in

Help me what’s the answer .

Mandarinka [93]

Answer:

x=3

Step-by-step explanation:

i helped my friend on this before but it was a word problem

8 0

3 years ago

Use unit rate to find the unknown value 16/32 equals blank over 14

grigory [225]

Answer:

x = 7

Step-by-step explanation:

simplify 16/32

16/32 divided by 8/8=2/4

2/4 divided by 2=1/2

1/2 = x/14

to get to 14 from 2 you need to multiply by 7

1/2 times 2/2 = 7/14

so x = 7

5 0

3 years ago

Factor out the greatest common factor. 10a3b−6a2b2

podryga [215]

Answer:

2a^2b(5a-3b)

If not then the other way is

5a-3b

Step-by-step explanation:

The GCF of 10a^3b and -6a^2b^2 is 2a^2b

So divide by that you will get

2a^2b(5a-3b)

4 0

3 years ago

A rectangle has a height of 6k3 and a width of 2k2 + 4k +5.

Trava [24]

Answer: $12k^5+24k^4+30k^3$

Step-by-step explanation:

Given : The height of the rectangle = $6k^3$

The width of the rectangle = $2k^2+4k+5$

Formula : Area = height x width

Therefore , the area of triangle in terms of polynomial will be :

$6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3$

Hence, the area of the entire rectangle = $12k^5+24k^4+30k^3$

5 0

3 years ago

Determine if each equation is a linear equation.

Lady_Fox [76]

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the variable is 1.

Out of the given equations, the following are linear.

1) $5x_1 + x_2 - 7x_3 = 4$

2) $5x_1 + 4.6x_2 + 12x_3 = -5$

3) $3x_1 - x_3 = -5x_2 + 7$

6) $6x_1 - 4x_2 + x_3 = 0$

These equations on the other hand are nonlinear.

4) $3x_1x_2 + x_3 = 5$

5) $4x_1^3 + x_2 = 5$

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

4 0

3 years ago