What is the slope between these two points(-5,7) and (5, 4)

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

Answer:

i believe the answer 602

Step-by-step explanation:

tell me if im wrong but hoped I helped:)

Answer:

602

Step-by-step explanation:

hope it helps

Answer:

9.8

Step-by-step explanation:

The crew worked for 4 1/5 days

They built 2 1/3 kilometres of road each day

Therefore the total length of the road can be calculated as follows

= 4 1/5 × 2 1/3

= 21/5 × 7/3

= 147/15

= 9.8

Hence the length of the road is 9.8 kilometres

Answer:

orange = 9 sticks

Red = 23 sticks

Step-by-step explanation:

orange = x

Red = y

x + y = 32

There are 5 more red sticks than twice the number of orange sticks

y = 2x + 5

x + y = 32

x + 2x + 5 = 32

3x = 32 - 5

3x = 27

x = 27/3

x = 9 sticks

y = 2x + 5

= 2(9) + 5

= 18 + 5

y = 23 sticks

orange = 9 sticks

Red = 23 sticks

Answer:

12.8 cups of flour will need to be used

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

i think its 10 maybe cuz if u see

the perimeter of a rectangular room is 52 feet. right?

then then height is 2 more than the width. what is the width of the room? so am I right copying the question? yes the question is right copied ok!

now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10

Answer:

y = - 3x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

Answer:

No. The margin of error only includes sampling variability.

Step-by-step explanation:

The margin of error would be considered for the sampling error

In the case when some adults does not have telephones so it is called as error selection bias this is not a sampling error

The selection bias, unresponse bias and the response would be the examples of an error but it is not a sampling errors

So there is no margin of error as it only involved the variability in the sampling

Answer:

Kindly check explanation

Step-by-step explanation:

The initial elevation is 20m

According to the question :

If it changes to 16m, then the final elevation of the bird is 16 m.

However, in some texts, the question goes thus;

A bird starts at 20m and changes 16m? The bird's final elevation is?

In this case, the initial height = 20m

Change in height = 16 m (positive means ascension)

Hence,

initial height + change in height

20 m + 16 m

= 36m

9514 1404 393

Answer:

  0.0802

Step-by-step explanation:

  8.02 × 10^-2

  = 8.02 × 0.01

  = 0.0802

_____

Your scientific or graphing calculator, or any spreadsheet, can convert number formats for you.

Answer:

x = (c - k) / 3

Can you insert an image or retype the question, it is hard to read with the information that is incorrectly placed.

Answer:

i think c

Step-by-step explanation:

Answer:

Its either A or C, but I would go with C

Step-by-step explanation:

The Large blizzard has the lowest cost per ounce at $ 0.31125/oz

Given data ,

To determine the best price per ounce for Dairy Queen blizzards, we can calculate the cost per ounce for each size option:

Small: 6 oz. for $2.49 ->

Cost per ounce = $2.49 / 6 oz. = $0.415/oz.

Large: 16 oz. for $4.98 ->

On simplifying the equation , we get

Cost per ounce = $4.98 / 16 oz. = $ 0.31125/oz.

Medium: 10 oz. for $3.49 ->

Cost per ounce = $3.49 / 10 oz. = $0.349/oz.

Super Size: 24 oz. for $7.69 ->

On simplifying the equation , we get

Cost per ounce = $7.69 / 24 oz. = $0.32042/oz.

Comparing the cost per ounce for each size option, we can see that the Small blizzard has the highest cost per ounce at $0.415/oz. The Large blizzard has the lowest cost per ounce at $ 0.31125/oz.

Hence , the Large blizzard gives you the best price per ounce among the options provided.

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Answer:

7:6

Step-by-step explanation:

I simplified 14:12

Step-by-step explanation:

Since 14 and 12 are both even numbers, they are a multiple of 2.

14 = 2 * 7

12 = 2 * 6

Therefore 14:12 = (2*7):(2*6) = 7:6.

The equivalent ratio is 7:6.

Answer:

D) y =   -2

The equation of the perpendicular line to the given line is  y = -2

Step-by-step explanation:

Explanation:-

Given point (-3,-2)

In graph the equation of line  x = 8 ( parallel to y- axis )

                              1 x + o y - 8 =0

The equation of the perpendicular line to the given line  

                        b x - a y + k =0

                       o x - 1 y + k =0 ...(i)

The equation (i) is Paases through the point ( -3,-2)

                        0 ( -3) -1(-2) + k =0

                               2 + k =0

                                     k = -2

∴The equation of the perpendicular line to the given line  is

     put k = -2 in equation (i)    

                        o x - 1 y + k =0

                      - y +(-2) =0

                       - y = 2

                         y = -2

Final answer:-

∴The equation of the perpendicular line to the given line is  y =-2

Answer:

Their expenses and sales will both equal at 200 ounces.

Step-by-step explanation:

This can be determined using the break-even point in ounce formula as follows:

Break even point in ounce = Fixed cost / Contribution per ounce

Where;

Fixed cost = Advertising = $600

Contribution per ounce = Selling price per ounce - Cost per ounce = $4 - $1 = $3

Substituting the values into equation (1), we have:

Break even point in ounce = $600 / $3 = 200 ounces

Therefore, their expenses and sales will both equal at 200 ounces.

Answer:

5/8

Step-by-step explanation:

Aquí, queremos encontrar la suma al infinito de la progresión geométrica, dado el primer término y la razón común Matemáticamente, eso sería;

S = a/1-r

S = 1/2/(1-1/5)

S = 1/2/4/5

S = 1/2 * 5/4

S = 5/8

Answer:

2x10^3 is the answer

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder

πr²h = π×(12)²×(18)

Choco : Vanilla : Strawberry

3 : 2 : 1

to find volume of strawberry,

[tex] \frac{1}{6} \times volume \: of \: cylinder[/tex]

then use your calculator

Answer:

Graph.

y=−1/3x+3

y

=

−

1

3

x

−

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of a line is y=mx+b

We currently have y=-2x-5, where the slope is -2

A parrallel line would have the same slope, so also -2

Any equation that has a slope, or m of -2 would be parallel!

I hope this helped! :)

Answer:

μₓ = 36,000 dollars

σ ₓ= 1,000 dollars

Step-by-step explanation:

to find μₓ = 36,000 dollars:

Look in the question, it states that the mean is $36,000.

to find σ ₓ= 1,000 dollars:

[tex]\frac{3000}{\sqrt{9} } = 1000[/tex]

The mean and standard deviation of the sampling distribution is $36000 and $1000.

What is Standard Deviation?

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

The mean and the standard deviation of the sampling distribution of the sample mean:

Mean, [tex]\mu[/tex] = $36000

[tex]\sigma[/tex] = 3000

n = 9

So, standard deviation of the sampling distribution

=  [tex]\sigma[/tex] / √n

= 3000 / √9

= 3000/3

= 1000

Hence, Mean = $36,000 and standard deviation = $1000.

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Answer:

its many solutions

Step-by-step explanation:

Answer:

The trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph

Step-by-step explanation:

Step 1

We calculate the speed of the trucker

Speed = Distance(miles)/Time(hours)

Distance = 159 miles

Time = 2 hours

Speed = 159 miles/2 hours

Speed = 79.5 miles per hour = 79.5 mph

From the question, we are told that: that toll road has a speed limit of 65mph

Step 2

We calculate the difference

= 79.5 mph - 65 mph

= 14.5 mph

Hence, the trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph