Distance between -1.75 and 1.5 on a number line

Answer:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

Given

[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]

Required

Determine x2, y2

Start by splitting the expression

[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]

Multiply through by 2

[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]

[tex]2x_m = x_1 + x_2[/tex]

Make x2 the subject;

[tex]x_2 = 2x_m - x_1[/tex]

Similarly:

[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]

[tex]2y_m = y_1 + y_2[/tex]

Make y2 the subject;

[tex]y_2 = 2y_m - y_1[/tex]

Hence:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

9514 1404 393

Answer:

  6 and 7

Step-by-step explanation:

6² = 36

(√39)² = 39

7² = 49

The square root of 39 is between 6 and 7.

Answer:

-1/8

Step-by-step explanation:

-1/2 + 3/4 - 3/8 = -1/8

Can I have Brainliest please?

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

So first find the greatest common factor of the denominators

GCF of 2 , 4 and 8 is 8

Then :

[tex]\frac{-4 + 6 - 3}{8}[/tex]

So you do this to get the above answer:

8 divided by the denominator times the numerator.

You still need to work it out

-4 + 6 = 2

[tex]\frac{2- 3}{8}[/tex]

2 - 3 is -1

Thus the answer is [tex]\frac{-1}{8}[/tex]

HOPE THIS HELPED

Answer:

B

Step-by-step explanation:

plug in 5

5^2-5(4)+7=12

===========================================

Work Shown:

A.

f(x) = 3x-8

f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS

f(5) = 15-8

f(5) = 7

We can cross choice A off the list since we got 7 as an output, instead of 12.

---------------

B.

f(x) = x^2-4x+7

f(5) = (5)^2-4(5)+7

f(5) = 25-4(5)+7

f(5) = 25-20+7

f(5) = 5+7

f(5) = 12

We got the output we wanted. So we can stop here.

---------------

If you're curious about the others, then,

C.

f(x) = -x+14

f(5) = -5+14

f(5) = 9

That doesn't work, so we cross choice C off the list.

---------------

D.

f(x) = |x-7|

f(5) = |5-7|

f(5) = |-2|

f(5) = 2

Choice D is crossed out as well.

So only choice B works.

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

The answer is simple. It's a simplified fraction of 28%, or 28/100.

Answer:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Step-by-step explanation:

Let a be the amount of pounds of apricot bought

Let b be the amount of pounds of banana bought

If he buys a total pounds of 5 pounds then;

a + b = 5 ...........1

Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a

Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b

If he spends a total of $24.50 on both banana and apricots, then:

6a + 4b = 24.50 ......... 2

The system of equations that represents the constraints in the situation is:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Answer: C

Step-by-step explanation:

Answer:

Can i be brainlest i neeed it

Answer:

Step-by-step explanation:

A: $0.1(x) + 25(y) = x + 25

B: $0.05(x) + $40(y) = x + 40

Because they didn't give a certain amount of miles traveled, we have to go with we do know.

**this is probably wrong.

Answer:

-2x-24

Step-by-step explanation:

-5x+3x-24 = - 2x-24

Answer:

-2x-24 hope dis helped

Answer:

x = 1/3 or .333

Step-by-step explanation:

Step-by-step explanation:

165 bc all you had to do was 825 divided by 500.

Answer:

−63t2−439t−741

Step-by-step explanation:

Let's simplify step-by-step.

9(4+t)−7(t+3)(9)(4+t)−7(t+3)

Distribute:

=(9)(4)+(9)(t)+−63t2+−441t+−756+(−7)(t)+(−7)(3)

=36+9t+−63t2+−441t+−756+−7t+−21

Combine Like Terms:

=36+9t+−63t2+−441t+−756+−7t+−21

=(−63t2)+(9t+−441t+−7t)+(36+−756+−21)

=−63t2+−439t+−741

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answer:

The right answer is y=-3x-8

Step-by-step explanation:

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Answer:

Yes, because the more pies ordered the more money it will cost to buy them all

Step-by-step explanation:

total cost is not proportional to the number of pies.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

given  Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Let us draw a table for the number of pies and the total cost

Number of pie                           Total Cost  

1                                                 $4.50+5=$9.50

2                                                  $9+5=$14

3                                               $13.50+5=$18.50

4                                                  $18+5=$230

5                                               $22.50+5=$26.50

now Total cost/number pies = 9.50/1 is not equals to 14/2

Therefore the total cost is not proportional to the number of pieces

Learn more about proportionalities here:

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Answer:

x= -12 x=2

Step-by-step explanation:

Answer:

Car Z has better petrol consumption. Choice C. Z

Step-by-step explanation:

Petrol Consumption

Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon

Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.

This means that car Z has better petrol consumption. Choice C. Z

Answer:

It's proved below

Step-by-step explanation:

We are given;

- K is the midpoint of JL

- M is the midpoint of LN

By definition of mid points, we can say that;

JK = KL and LM = MN

Now, we are given that JK = MN.

Thus, by substitution, we can deduce that; KL = LM

Thus is because JK can be replaced with KL and MN can be replaced with LM.

Thus, it is proved that KL = LM

Answer:

both

Step-by-step explanation:

both plus power = neither

Answer:

9x^2=-25

X^2=-25/9

X^2=-2. 77

X= root - 2.77

Answer:

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Step-by-step explanation:

i got it right

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

A number expressed as a quotient, in which a numerator is divided by a denominator.

As, per the diagram there are total of 10 columns out of which 8 are shaded blue.

So, if we write the fraction of shaded part it will be 8/10.

So,  in word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Learn more about fraction here:

https://brainly.com/question/10354322

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Answer: 15, and 44 are integers.

Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.

Answer:

Step-by-step explanation:

-1/3