What is the quotient if

I need help please!!!! Thank you :)

Likurg_2 [28]

Answer:

The correct options are: Option A, C and D

Step-by-step explanation:

We need to choose correct options by solving the given system of equations.

$3x+4y=18\\2x-2y=2$

Let:

$3x+4y=18--eq(1)\\2x-2y=2--eq(2)$

First Multiply equation 2 by 2 and add both equations.

$3x+4y=18\\4x-4y=4\\------\\7x=22\\x=\frac{22}{7}\\x=3.14$

Now, we will put value of x in equation 2 to find value of y

$2x-2y=2\\2(3.14)-2y=2\\6.28-2y=2\\-2y=2-6.28\\-2y=-4.28\\y=\frac{-4.28}{-2}\\y=2.14$

So, we get x = 3.14 and y = 2.14

Solution set is (3.14,2.14)

The given solution set (2,3) is not the solution of system of equations.

If we put x=2 and y =3 in the first equation:

$3x+4y=18\\3(2)+4(3)=18\\6+12=18\\18=18$

(2,3) when substituted in the First equation the equation is True.

If we put x=2 and y =3 in the second equation:

$2x-2y=2\\2(2)-2(3)=2\\4-6=2\\-2\neq 2$

So, (2,3) when substituted in the second equation the equation is false.

The correct options are: Option A, C and D

6 0

3 years ago

Dree rolls a strike in 6 out of the 10 frames of bowling

tigry1 [53]

There’d be 4 more frames because he rolled 6 and 4+6 = 10

5 0

3 years ago

This line plot shows something about trails in a state park. What is true about the data in this line plot?

Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

The complete and correct question is

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.

The picture in the attached figure

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

$13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km$

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

$5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km$

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

$AD=AB+BC+CE+ED$ ---> by segment addition postulate

substitute the given values

$AD=a+5+b+3=(a+b+8)\ km$

substitute the value of a and b

$AD=(12+4+8)=24\ km$

step 4

Find the total length of the Elm Trail (dashed red line)

The total length is equal to

$AD=AC+CD$ ---> by segment addition postulate

substitute the given values

$AD=13+5=18\ km$

Verify the following statements

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

$18\ km < 24\ km$

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

$24-18=6\ km$

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

$24-18=6\ km$

4 0

3 years ago

Read 2 more answers

PLEASE HELP! Please I’m having a hard time with this I’ll be thankful

Arlecino [84]

Answer:

80 and 96

Step-by-step explanation:

80 and 96

7 0

3 years ago

Read 2 more answers

2 balls are rolling towards each other from the opposite ends of a straight tube that is

suter [353]

Answer:

6 seconds

Step-by-step explanation:

In second 1, the distance that separates them is 80 cm

Then, in second 2, it is an additional 76 cm which is 156

then 72, etc. etc.

From that, we can continue adding until we the total sum is 420.

80+76+72+68+64+60=420

That's 6 seconds

Not the most elegant solution but I think one of the simplest.

8 0

3 years ago

Read 2 more answers