3 years ago

If M is the midpoint of segment CD with CM = 3x + 1 and MD = 8x - 24, find CD.

Mathematics

1 answer:

ra1l [238]3 years ago

8 0

X = 5 so that would mean if you plug it into both equations, segment CD would be 32 units long.

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

3 years ago

COREY KNOWS THAT 16 TABLESPOONS ARE THE SAME AS 1 CUP. HE NEEDS TO MEASURE 3/4 OF A CUP, BUT ALL HE HAS IS A TABLESPOON. HOW MAN

noname [10]

Corey will use 12 tablespoons
Since 4 tablespoons are in each 1/4 of a cup

7 0

3 years ago

Which segment represents the diameter of the circle?<br> A<br> B<br> C<br> D

charle [14.2K]

The answer is C because its the only touching the circle on each end

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4 years ago

Nathan is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 10

Jlenok [28]

Answer:

33.5 kg

Step-by-step explanation:

Each 59 cans are about 1 kg.

He collected 1978 cans.

How many times 59 cans did he collect?

1978/59 = 33.5

He collected 1978 cans which is 33.52 times 59 cans, so he collected 33.5 kg

3 0

3 years ago

Please help ASAP!!! Christine found a sweater at Nordstrom that was priced at $72.00. She noticed there was a sign that said "Al

Olin [163]

Answer:

57.60

Step-by-step explanation:

72/100=0.72, 0.72x80=57.60

6 0

3 years ago