All categories

3 years ago

Point D is on line segment \overline{CE}

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

Answer:

DE = 18

Step-by-step explanation:

Given that,

Point D is on line segment CE.

DE = x+10, CD=6 and CE=3x

We need to find the length of DE.

ATQ,

CE = CD + DE

Putting all the values,

3x = 6 + x+10

Taking like terms together

3x-x = 16

2x = 16

x = 8

DE = x+10

= 8+10

= 18

Hence, the length of DE is 18.

You might be interested in

Use the table to work out the values of a , b , c , and d .

scZoUnD [109]

Answer:

a = - 1, b = - 3, c = - 5, d = - 6

Step-by-step explanation:

Substitute the appropriate values of x into the equation and evaluate

x = - 3 : y = - (- 3) - 4 = 3 - 4 = - 1 → a

x = - 1 : y = - (- 1) - 4 = 1 - 4 = - 3 → b

x = 1 : y = - 1 - 4 = - 5 → c

x = 2 : y = - 2 - 4 = - 6 → d

3 0

2 years ago

Read 2 more answers

Wich statment describes the role of a mitochondrion in providing a body with energy

Andrews [41]

Answer:

Mitochondria is the site where oxygen combines with small molecules and releases large amounts of energy.

Mitochondria is a cell organelle

It produces ATP, which is considered as energy currency of cell.

3 0

3 years ago

Read 2 more answers

Use the grouping method to factor x³ + x² + 3x+3.

Annette [7]

Answer:

D. $(x + 1)(x^2 + 3)$

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

<h3>Factor by Grouping</h3>

$x^2 + x^2 + 3x + 3$
$x^2(x + 1) + 3(x + 1)$
$(x^2 + 3)(x + 1)$

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite $x^3 + x^2$ as $x^2(x + 1)$ , as both the two terms share a common factor of $x^2$ . We can pull out $x^2$ from that expression. Similarly, $3x$ and $3$ share a common factor of $3$ , so we can pull that out.