Question 2 of 10
Which of the following best describes the slope of the line below?
A. Negative
OB. Zero
C. Undefined
o D. Positive

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer:

A for the first one, B for the second one, and i think B for the third.

Step-by-step explanation:

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

$11.5

Step-by-step explanation:

Subtract 30 from 64.50 to get rid of the cost of shirts. (3 shirts costing 10 dollars) to get 34.50. DIvide 34.50 by 3 for the number of shorts. Your final answer is 11.5

Answer:

10.110 km

Step-by-step explanation:

1000 meter = 1 kilometre

Since we are to provide the answer in kilometres, we have to convert the meters to kilometres

1685 m = 1685/1000 = 1.685km

Total kilometres swan by the 6 members =  1.685km x 6 = 10.110 km

Method 2

1.685km +  1.685km +  1.685km +  1.685km +  1.685km +  1.685km = 10.110km

Answer:

Step-by-step explanation:

19)

6/x = x/12

x^2 = 72

x = √72

x = 6√2

y^2 = 12^2 + (√72)^2

y^2 = 144 + 72

y^2 = 216

y = 6√6

21)

14 - 8 = 6

y/8 = 6/y

y^2 = 48

y = √48

y = 4√3

x^2 = 6^2 +(√48)^2

x^2 = 36 + 48

x^2 = 84

x = √84

x = 2√21

Step-by-step explanation:

i say you tomorrow ok my friend

Answer:

Area = 18 square units

Step-by-step explanation:

Given

[tex]A =(2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B =(5,6)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]C = (-1,4)[/tex] --- [tex](x_3,y_3)[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 - y_2)|[/tex]

[tex]Area = \frac{1}{2} * |2(6 - 4) + 5(4 - -1) -1(-1 -6)|[/tex]

[tex]Area = \frac{1}{2} * |2*2 + 5*5 -1*-7|[/tex]

[tex]Area = \frac{1}{2} * |36|[/tex]

[tex]Area = \frac{1}{2} * 36[/tex]

Area = 18 square units

Answer:

$5.11

Step-by-step explanation:

4.16 + 0.95 = 5.11

Answer:

x = ±4.5

Step-by-step explanation:

4x² - 15 = 66

Add 15 to both sides.

4x² = 81

Divide both sides by 4.

x² = 20.25

Take the square root of both sides.

x = ±4.5

Hope this helps!

Answer:

$900

Step-by-step explanation:

the steps are above

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is always the number next to the unknown or in this case, x

Answer:

2.28%

Step-by-step explanation:

Given that:

µ = 40 minutes ; σ = 3.5.

x = > 47 minutes

Obtain the standardized score, Z

Zscore = (x - μ) / σ

P(x > 47) = (47 - 40) / 3.5

P(x > 47) = 7 / 3.5

P(x > 47) = 2

P(z > 2) = 0.02275

Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%

Final Answer is: 2.28%

I got it right when I did it! :)

Question:

In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?

___________________________________________________

Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48

Answer:

the answer is c.840

Step-by-step explanation:

you multiply 15 4 times and multiply it with 14 that would give us 840

Answer: The expression is not factorable with rational numbers.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

27 pages in 1 hour

Step-by-step explanation:

9*3 = 27

Hi, I believe this should be correct. The way the boxes are phrased is very misleading.

Answer:

= − 4 3

Step-by-step explanation:

Answer:

x+62=19

x=19-62

x=-43

I hope this help

Answer:

x = 6

Step-by-step explanation:

4/12 = x/18

72 = 12x

x = 6

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

Additional comments

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

Answer:

the 7th

0.007805 or  59 / 756

Step-by-step explanation:

To determine the Friday that he needed more pounds, determine the number of pounds he needed per dog for each Friday.

to do this, divide the total pounds by the number of dogs

on the 14th

3/8 ÷ 35 =

3/8 x 1/35 = 3/280

on the 7th

1/2 ÷ 27 =

1/2 x 1/27 = 1/54

to determine which fraction is larger multiply each by 100 to determine its percent

3/280 x 100 = 1.071

1/54 x 100 = 1.852

1/54 is larger. Thus, more pounds was needed on Friday the 7th

the difference between these fractions should be determined  

[tex]\frac{1}{54}[/tex] - [tex]\frac{3}{280}[/tex]

[tex]\frac{280 - 162}{1512}[/tex] = [tex]\frac{118}{1512}[/tex] = 59 / 756

Answer:

Step-by-step explanation:

Answer:

There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.

Step-by-step explanation:

The null hypothesis ; H0 : μ = 32

The alternative hypothesis : H1 : μ ≠ 32

The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :

There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.