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2 years ago

Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?

Mathematics

1 answer:

hjlf2 years ago

4 0

Answer:

they are both alike because you're dividing both equations by 2 . in both equations you're trying to get the variable by itself .

they are both different because both of the equations have a different x= . in equation 1 you subtract and in equation 2 you would add .

Step-by-step explanation:

For 2x+4=20 you would make +4 negative 4 to get the variable by itself .

then you'd subtract the numbers 20-4=16

then divide both sides by 2 2÷2 and 16÷2

x=8 is your answer

for 2x-4=20 you would make -4 and make it positive 4 to get the variable by itself

then you'd add the numbers 20+4

then divide both sides by 2 2÷2 and 24÷2

x=12

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What is the length of DE?

miskamm [114]

Answer:

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

AC *CB = CD CE

4 * (10-4) = CD * 8

4 * 6 = 8 *CD

24 = 8 CD

Divide each side by 8

24/8 = CD

3 = CD

We want the length DE

DE = CD + CE

= 3 + 8

DE = 11

5 0

3 years ago

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the

MrRa [10]

your question is incomplete, here you can find the complete question below:

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.

a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?

b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?

c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?

Answer:

a. 1.45

b. 2.56

c. 3.59

Step-by-step explanation:

As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.

$slope=\frac{chnage\ in\ y}{chnage\ in\ x}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

It is given that initial point is (x1,y1)=(0,0)

Part(a)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(3.38,2.32)

so the slope of the terminal ray is

$slope=\frac{3.38-0}{2.32-0}=\frac{3.38}{2.32}= 1.45$

Part(b)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.49,3.82)

so the slope of the terminal ray is

$slope=\frac{3.82-0}{1.49-0}=\frac{3.82}{1.49}=2.56$

Part(c)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.1,3.95)

so the slope of the terminal ray is

$slpoe=\frac{3.95-0}{1.1-0}=\frac{3.95}{1.1}= 3.59$

6 0

3 years ago

Find both unit rates and explain what each means:<br><br> <br><br>250 miles on 8 gallons of fuel

My name is Ann [436]

250 miles on 8 gallons of fuel
means 250 miles were traveled on 8 gallons, so an average of 250mi/8gal = 31.25 mpg

3 0

3 years ago

Jackson picked apples for his family. He picked a total of 8 1/4 pounds. He took 3 3/4 pounds to his aunt and 2 3/8 to his mothe

GalinKa [24]

Answer: 2 1/8 pounds of apples were left to give his grandmother.

Step-by-step explanation:

He picked a total of 8 1/4 pounds. Converting 8 1/4 pounds to improper fraction, it becomes 33/4 pounds.

He took 3 3/4 pounds to his aunt. Converting 3 3/4 pounds to improper fraction, it becomes 15/4 pounds.

He also took 2 3/8 to his mother. Converting 2 3/8 pounds to improper fraction, it becomes 19/8 pounds.

The total number of apples that he gave to his aunt and mother is

15/4 + 19/8 = 49/8 pounds

The number of pounds of apples left to give his grandmother is

33/4 - 49/8 = 17/8 = 2 1/8 pounds

7 0

3 years ago

20. (03.06 MC)

Ilya [14]

Answer:

the answer is d

Step-by-step explanation:

the answer is d because

3 0

3 years ago

Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?​

Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?