18 - 4x = -2

A. 5
B. -4
C. 4
D. -5​

2 Answers:

Parallel lines always have equal slope, but different y intercepts.

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Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

Answer:

614

Step-by-step explanation:

15 x 13 = 195    two times   195 x 2 = 390

4 x 15 = 60    two times   60 x 2 = 120

4 x 13 = 52      two times   52 x 2 = 104

104 + 120 + 390 = 614

Answer:

SA = 2(l·w)+2(w·h)+2(l·h)

SA = 614 sq in

Step-by-step explanation:

SA = 2(4x13)+2(13x15)+2(4x15)

= 2(52)+2(195)+2(60)

= 104 + 390 + 120

= 614

Answer:

C) y=2/3x+12

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(3-(-3))

m=4/(3+3)

m=4/6

simplify

m=2/3

y-y1=m(x-x1)

y-10=2/3(x-(-3))

y-10=2/3(x+3)

y=2/3x+6/3+10

y=2/3x+2+10

y=2/3x+12

Answer:

a. option is the correct answer

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

Answer:

x = 2

Step-by-step explanation:

0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )

0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )

0.1x = 0.2 ( divide both sides by 0.1 )

x = 2

Answer:

The quantities that are needed would be;

a variable (y) representing the total cost that needs to be found out

a constant cost for per cupcake made  (This would be 0.17)

a variable (x) representing the number of cupcakes made

any additional cost (This would be $75)

Hope this helps!

Answer:

88.3

I just think so

I dont have a 20 letter explantion

Answer:

-9

Step-by-step explanation:

Using the sum/difference property of logarithms, we can rewrite the expression given as:

log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5

Next, we can use the power property of logarithms, and rewrite it again as:

3log b + 3log c - 1.5log a

Now, we can substitute the values of log a, log b, and log c:

3(11) + 3(-9) - 1.5(10)

33 - 27 - 15

-9

Simplifying, we get -9 as the answer.

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

k=1•33

30=1•33x

x=22•5

1 The solution involves four steps.

Make sure the sample size is big enough to model differences with a normal population. ...

Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.

Find the standard deviation of the difference. ...

Find the probability.

The diameter is the length of all the way across the circle. The radius is half of that.

the first circle

radius=17cm

diameter =17×2=34cm

second circle

radius=25mm

diameter =50mm

hopefully that helped

Answer:

1100 yd²

Step-by-step explanation:

The parking lot can be divided into 2 rectangles :

Area of a rectangle = Length * Width

First rectangle :

Dimension = 40 yards by 20 yards

Area = 40 * 20 = 800 yd²

Rectangule 2 :

30 yards by 10 yards

Area = 30 * 20

Area = 30 * 10 = 300 yd²

Total area of parking lot :

800 + 300 yd²

= 1100 yd²

Answer:

b. 6.40

Step-by-step explanation:

the distance = √(4+1)² + (1-5)²

=√25+16=√41 = 6.40

[tex] \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

C=9.42

Step-by-step explanation:

Formulas: C=2πr or C=πd

Were gonna use C=2πr

"r"stands for radius from the problem we know that the radius is 1.5 .

Now we substitute the "r" for 1.5, it looks like this C=2π1.5 .

Now we multiply 2x1.5=3 . Now you are left with C=3π

Now you need to multiply 3xπ (Instead of π use 3.14) it would look like this 3x3.14= 9.42

Answer:

80.0 cm

...................

Answer:

18.1

The thing You NEEDED to do

Answer:

12, 23, 48, 325

Step-by-step explanation:

So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.

Inequality 1:

(-3x) + 5 < (-10)

Inequality 2:

7x + x - 4 > 28

simplifies to: 8x - 4 > 28

When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.

Answers that apply from given list would be:

12, 23, 48, 325

Answer:

7 attendees

Step-by-step explanation:

From the above question, we know that:

$10 = 5 attendees

$14 = x

Cross Multiply

$10 × x attendees = $14 × 5 attendees

x attendees = $14 × 5 attendees/$10

x attendees = 7 attendees

Therefore, if the budget for the cooperate team building is $14, the number of attendees is 7

Answer:

Linear

Step-by-step explanation:

The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to

y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation

y - mx + b where m is the slope and m is the y intercept.

Answer:

$108.88

Step-by-step explanation:

because 329.95×0.33= 108.88

Answer:

no not even if its supposed to be a negative

Step-by-step explanation:

Answer:

[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]

Answer:

=1

Step-by-step explanation:

(-2-√3)(-2+√3)

=-2(-2+√3)-√3(-2+√3)

=4-2√3+2√3-√9

=4-3

=1

Answer:

8

Step-by-step explanation:

[tex]\sqrt{8*8}[/tex] = [tex]\sqrt{64}[/tex]

[tex]\sqrt{64}[/tex] = 8

Hope this helps!

Answer:

Solution given:

[tex]\sqrt{8*8}[/tex]

[tex]\sqrt{8²}[/tex]

[tex]\large \bold{8}[/tex]

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption