2. What is the slope of the line 2x + y = 8?

Answer:

x=3

CD = 13

Step-by-step explanation:

BE = CD in a parallelogram

1+4x = 5x -2

Subtract 4x from each side

1+4x-4x = 5x-2 -4x

1 = x-2

Add 2 to each side

1+2 = x-2+2

3 =x

The length of CD

CD = 5x-2 = 5*3 -2 = 15-2 = 13

Answer:

The distance is 12 miles

Step-by-step explanation:

Given

See attachment for grid

Required

The distance

From the attached:

[tex]B = (-8,6)[/tex] --- Bank

[tex]H = (4,6)[/tex] --- Hiroto's house

Using distance formula, we have:

[tex]d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}[/tex]

This gives:

[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]

[tex]d = \sqrt{(-12)^2}[/tex]

[tex]d = \sqrt{144}[/tex]

[tex]d = 12[/tex]

Answer:

$527

Step-by-step explanation:

Find how much she has left by subtracting 287 from 814:

814 - 287

= 527

So, she has $527 left in her account

Answer:

Step-by-step explanation:

Length = 7x

Width = 3x

Perimeter = 2L + 2W

Part A

2*7x + 2*3x = 62

14x + 6x = 62

20x = 62

x = 62/20

x = 3.1

Length = 3.1 * 7     21.7

Width = 3.1 *3        9.3

Width = 9.3

Part B

Use the Pythagorean Theorem

diagonal squared = 21.7^2 + 9.3^2

diagonal^2 = 557.38

sqrt(diagonal^2) = sqrt(557.38)

diagonal = 23.61

To the nearest cm is 24

Part C

Area = L*W

Area = 21.7 * 9.3

Area = 201.8

Answer:

x=63.25

Step-by-step explanation:

Hi there!

We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x

we need to find the value of x

Let's use trigonometry to do it

Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)

so tan(49)=[tex]\frac{x}{55}[/tex]

plug tan(49) into your calculator; remember to have the calculator on degree mode

tan(49)≈1.15 (rounded to the nearest hundredth)

so that means:

1.15=[tex]\frac{x}{55}[/tex]

multiply both sides by 55 to clear the fraction

63.25=x

Hope this helps!

Answer:

7.5 metres

Step-by-step explanation:

According to the Question,

Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m

Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)

So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

98deg

Step-by-step explanation:

Angles in a triangular add to 180.

180-(53+45) is the top angle.

Angles on a line add a up to 180

180 - triangles top angle = x

Answer:

5 pints of milk

Step-by-step explanation:

took the test

Answer:

B 63 units

Step-by-step explanation:

Dilatation is an increase of shape , a larger imagine , the dilatation is 3 so times each side by three and add them all up

Answer:

its 55 not 60

Step-by-step explanation:

just divide 260 by 5 and 3

The required number of large and small popcorn boxes sold are 40 and 20 respectively.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of the large box be x and the small box is y.
According to the question,
5x + 3y = 260   - - - - - -  -(1)
x + y = 60
x = 60 - y - - - - - - - - (2)
Put the value of equation, (2) in equation 1
5 (60 - y) + 3y = 260
300 - 5y + 3y = 260
2y = 40
y = 20
Now,
x = 60 - 20
x = 40

Thus, the required number of large and small popcorn boxes sold are 40 and 20 respectively.

Learn more about arithmetic here:

https://brainly.com/question/11559160

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Answer:

3(2x+1)( [tex]x }[/tex]-2)(x+2)

Step-by-step explanation:

3(2x+1)( [tex]x }[/tex]-2)(x+2)

3(2x+1)( [tex]x^{2}[/tex]-4)

(2x+1)(3[tex]x^{2}[/tex]-12)

Answer and Step-by-step explanation:

Mandy travels more miles.

We determine this by multiplying the distance from home by the number of trips.

For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.

For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.

Many travels 2 more miles in total than Matt.

#teamtrees #PAW (Plant And Water)

Answer:

mandy

Step-by-step explanation:

so mandy has 10 miles and 9 trips to school matt has 8 miles and 11 trips to school so mandy is 10x9=90

and matt is 11x8=88

mandy=90

matt=88

Answer:

Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.

Step-by-step explanation:

Answer:

[tex]{ \tt{question \: 1.}} \\ { \bf{ = {}^{ + } 24}} \\ \\ { \tt{question \: 2.}} \\ { \bf{ = in \: the \: third \: quadrant}} \\ \\ { \tt{question \: 3.}} \\ { = \bf{graph \: J}} \\ \\ { \tt{ \underline{ \blue{becker \: jnr}}}}[/tex]

Answer: 2050hrs

Step-by-step explanation:

If he is going 72 km/hr and he traveled 504 km we can calculate how long he took to go by dividing the distance he went by distance per hour. That will give us the amount of hours that he took to get there. That would be [tex]\frac{504}{72}[/tex]. [tex]\frac{504}{72}=7[/tex] so it took him 7 hours to get there. 7 hours after 1350 is 2050 assuming we are using the 24 hour clock notation.

Answer:

[tex]-\infty < x < \infty[/tex]

Step-by-step explanation:

Given

[tex]y = \sqrt[3]{x - 1}[/tex]

Required

The domain

The given function is cubic root; there are no restrictions on cubic root functions

Hence, the domain is:

[tex]-\infty < x < \infty[/tex]

Step-by-step explanation:

this is inverse variation

the function is

xy = 128

=> y = 128/x

Answer:

1.33333333333 repeating

Step-by-step explanation:

Hope this helps

Answer:

1.3333

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

Answer:

Exponential

Step-by-step explanation:

By visual inspection the graph generated by the points plotted is an exponential graph as the graph curves upward. The graph is also continous and differs from either a decreasing or increasing Linear graph, which shows a straight best of fit pattern. Hence, the graph most closely represents an exponential graph from visual examination.

The best-fitting regression model for the considered data plot is given by:

Option A: Exponential.

When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.

The considered plot is not forming a straight line(so no linear fitting), but we can see that a smooth curve can be fitted in the considered data. Since the exponential functions' graph approximately goes the same way (for positive exponent, and increasing value of output).

Thus, the best-fitting regression model for the considered data plot is given by: Option A: Exponential.

Learn more about exponential functions here:

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Answer:

C. Corresponding angles

Step-by-step explanation:

Visualize the two points of intersection and the four angles around each of them being separated. If you put the on top of each other, you can see that angle 4 corresponds with angle 8.

Answer: corresponding :)

Step-by-step explanation:

corresponding angles are angles that are in the same position relative to lines intersected by a transversal

basically theyre equal and on the same side of the transversal

hope this helps :)

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

Answer:

x > 3

Step-by-step explanation:

___________________

Answer:

12

Step-by-step explanation:

8+8+9+11+24=60

60/5=12

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}[/tex]

[tex]\mathsf{\dfrac{8+8+9+11+24}{5}}[/tex]

[tex]\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}[/tex]

[tex]\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

midpoint x=5/2&y=-7/2 this might be helpful

Answer:

9

Step-by-step explanation:

63+9=72

72/8=9

hope this helped

Answer:

[tex]8n - 9 = 63 \\ 63 + 9 = 8n \\ 72 \div 8 = n \\ n = 9[/tex]