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3 years ago

Can someone please help?

Mathematics

1 answer:

marta [7]3 years ago

4 0

Answer:

3. definiton of angle bisector

4. substitution property (of equality)

5. 2x+14=34

5. subtraction property of equality

6. 2x = 20

6. subtraction property of equality

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Solve the system of equations algebraically.

lubasha [3.4K]

Answer:

Option (d) is correct.

(1, 0) is the solution of the given system of equation.

Step-by-step explanation:

Consider the given system of equation

4x - 2y = 4 ........(1)

6x - 4y = 6 ........(2)

We have to solve the system algebraically ,

We will solve it by elimination method,

Multiply equation (1) by 2, we get,

(1) ⇒ 8x - 4y = 8 ............(3)

Subtract equation (2) from (3) , we get,

8x - 4y - (6x - 4y) = 8 - 6

8x - 4y - 6x + 4y = 2

8x - 6x = 2

⇒ x = 1

Substitute x = 1 in (1) and solve for y , we get,

⇒ 4x - 2y = 4 ⇒ 4 (1) - 2y = 4 ⇒ 2y = 4 - 4 ⇒ 2y = 0 ⇒ y = 0

Thus, (1, 0) is the solution of the given system of equation.

Option (d) is correct.

4 0

3 years ago

Read 2 more answers

What is the value of arctan 0.866?

vodka [1.7K]

Answer: 0.713709862 rad

Step-by-step explanation:

4 0

2 years ago

Roger has two golden retrievers, Sadie and Buddy. buddy weighs 14 pounds more than Sadie. If their total weight is 136 pounds, h

ra1l [238]

Sadie= 82
Buddy= 54
Divide by 2, 136/2=68, then rest 14 to one half, 68-14=54, next add the other half 14, 68+14=82.
There you have it, i hope it helps you

6 0

3 years ago

17. Tonya's mother is 1.5 times as tall as

andrew-mc [135]

The question is incomplete:

17. Tonya's mother is 1.5 times as tall as Tonya was when she was 6. How tall is Tonya's mother? Use the correct number of significant digits.

The image with the information about Tonya's height is attached.

Answer:

68 in.

Step-by-step explanation:

According to the information given, you can write the following expression:

x=1.5y

x=Tonya's mother height

y= Tony's height when she was 6

Also, you know from the table that Tonya's height when she was 6 was 45 in. and you can replace this value in the formula:

x=1.5*45

x=67.5

Because of this, the answer is that Tonya's mother height is 68 in.

3 0

3 years ago

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c

VMariaS [17]

The answer is d. 5y − x = −10. 3y − x = 24

$\frac{1}{5}x-2= \frac{1}{3}x+8=y$
⇒    $y= \frac{1}{5}x-2$
   $y= \frac{1}{3}x+8$
________________________
$y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}$
$y= \frac{x}{3} +8= \frac{x}{3} + \frac{24}{3} = \frac{x+24}{3}$
________________________
$y= \frac{x-10}{5}$ ⇒    $5y=x-10$
$y= \frac{x+24}{3}$   ⇒    $3y=x+24$
________________________
$5y-x=-10$
$3y-x=24$

5 0

3 years ago