3 years ago

What is the length of AC?

Mathematics

1 answer:

Korvikt [17]3 years ago

8 0

AB+BC you will get the length of AC

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Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len

NARA [144]

Answer:

$CD = 3$

Step-by-step explanation:

Given

$CD = x$

$BC = 5x - 5$

$BD = 2x + 7$

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

$BD = BC + CD$

Substitute the values of BD, BC and CD

$2x + 7 = 5x - 5 + x$

Collect Like Terms

$2x - 5x - x = -5 - 7$

$-4x = -12$

Divide both sides by -4

$\frac{-4x}{-4} = \frac{-12}{-4}$

$x = 3$

To determine the length of CD;

Substitute 3 for x in $CD = x$

Hence;

$CD = 3$

3 0

2 years ago

Is <img src="https://tex.z-dn.net/?f=1-2x%5E%7B2%7D" id="TexFormula1" title="1-2x^{2}" alt="1-2x^{2}" align="absmiddle" class="l

Schach [20]

Answer:

standard form for a quadratic expression

Step-by-step explanation:

This is a quadratic expression. If you want this expression in standard form, write the terms in descending order of powers of x: -2x^2 + 1.

This -2x^2 + 1 has not yet been factored.

-2x^2 + 1 is in standard form.

7 0

2 years ago

-8 1/16 as decimal number

Anon25 [30]

Answer:

-8.0625

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A coin is biased to show 35% heads and 65% tails. the coin is tissed twice. what is the probability that the coin turns up heads

bekas [8.4K]

The required probability is:
$P(1\ heads\ and\ 1\ tails)=2C1\times0.35\times0.65=0.455$
The answer is 0.455.

6 0

3 years ago

Michael and Minnie are gathering coats for a coat-drive at their school. Minnie gathers 3 times as many coats as Michael and tog

fredd [130]

Let the number of coats Michael has = x

As given, Minnie gathers 3 times as many coats as Michael

So, Minnie has = 3x

Total number of coats = 52

Equation becomes,

$x+3x=52$

$4x=52$

$x=13$

Hence, Michael contributed 13 coats.

7 0

3 years ago