Determine if T is the midpoint of MB.

Determine If T Is The Midpoint Of MB.

Answers

Answer 1

Check the picture below.

[tex]\stackrel{MT}{(8x-11)} +\stackrel{BT}{(11x-1)}~~ = ~~\stackrel{MB}{12x+44}\implies 19x-12=12x+44 \\\\\\ 7x-12=44\implies 7x=56\implies x=\cfrac{56}{7}\implies \boxed{x=8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{MT}{8(8)-11}\implies 53\hspace{5em}\stackrel{BT}{11(8)-1}\implies 87~\hfill \stackrel{\textit{\large T is not the midpoint}}{MT\ne BT}[/tex]

Determine If T Is The Midpoint Of MB.

Related Questions

what is the actual awnser to find the length x 14cm and 7 cm

Answers

Hi could u ask the question a bit clearer?

A water tank measures 5 in. by 6 in. by 6 in. If each dimension of the tank were doubled, approximately how many more gallons can the larger tank hold? (Hint : There are 231 cubic inches in 1 gallon.)

Answers

Answer:

6.23376623 gallons

Step-by-step explanation:

5×2 is 10

6×2 is 12

10x12x12 is 1440 inches

1440/231 is 6.23376623 gallons

round if you need to

. Jason pays $3.60 for 2 bottles of
water. What is the unit price of each bottle?

Answers

$3.60 divided by 2= 1.8 Dollars per each bottle

If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?

Answers

Based on the transformaion of point A, the coordinate of the point she would end up is (3, -4)

How to determine the point she would end up?

The complete question is added at the end of this solution

From the question, we have the following point

Starting point = (-3, 5)

The movement is given as

9 units down and 6 units to the right

The above can be represented mathematically as

(x, y) = (x + 6, y - 9)

When the above translation is applied on point A, we have the following equation

A' = (-3 + 6, 5 - 9)

Evaluate the sum and he difference in the above equation

A' = (3, -4)

Hence, the coordinate of the point she would end up is (3, -4)

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Complete question

The coordinates (the x- and y-values) for point A are (−3, 5).

If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?

Find the equation of the line through (7,−2) which is parallel to the line y=−x−4.

Give your answer in the form y=mx+b.

Answers

Answer:

y = -x + 5

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we need to find is -1. Substituting into point-slope form, we get the equation to be

[tex]y+2=-(x-7)[/tex]

which rearranges into slope-intercept form as follows:

[tex]y+2=-x+7 \\ \\ y=-x+5[/tex]

Answer:

y=-x+5

Step-by-step explanation:

For the linear function f (x) = mx + b, f (-3) = 23 and f (2) = -7.
Find m and b.

Answers

Answer:

b = 8 , m = - 5

Step-by-step explanation:

For this question we can use simulteanous equations to solve for m and b.

We first come up with 2 equations.

Given the first condition:

23 = -3m + b

b - 3m = 23 (Equation 1)

Now the Second Condition:

-7 = 2m + b

b + 2m = -7 (Equation 2)

Now, we will use Equation 1 - Equation 2 to eliminate b to solve for m.

-3m - (+2m) = 23 - ( - 7)

- 5m = 30

m = 30 ÷ -6 = -5

Now we substitute m into Equation 1 to solve for b.

b - 3(- 5) = 23

b + 15 = 23

b = 23 - 15 = 8

Answer: m=-6    b=5

Step-by-step explanation:

f(x)=mx+b

f(-3)=23     f(2)=7

[tex]\displaystyle\\\left \{ {{23=(m)(-3)+b} \atop {-7=(m)(2)+b}} \right. \ \ \ \ \left \{ {{23=-3m+b\ \ \ \ (1)} \atop {-7=2m+b\ \ \ \ (2)}} \right.[/tex]

Subtract equation (2) from equation (1):

-30=5m

Divide both parts of the equation by 5:

-6=m

Thus, substitute m=-6 in (2):

-7=(-6)(2)+b

-7=-12+b

-7+12=-12+b+12

5=b

Hence,

y=-6x+5

How many solutions does this equation have? 6(x + 1) + 5 = 13 - 2 + 6x

Answers

Answer:

Step-by-step explanation:

So you start out with this equation

6(x+1)+5=13-2+6x

you simplify it down to get

6x+11=6x+11 if they are the same then there fore you answer is

Infinite solutions

Four friends went scuba diving today. Ali dove 70 feet, Tim went down 50 feet, Carl dove 65 feet, and Brenda reached 48 feet below sea level. Write the 4 friends’ names in order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface.

Answers

The orders from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:

Brenda < Tim  < Carlton < Ali

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order. For example, a set of natural numbers are in ascending order, such as 1, 2, 3, 4, 5, 6, 7, 8… and so on.

If the information is sorted from highest to lowest, it is said to be in descending order. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are arranged in descending order. In other words, if the numbers are arranged from the largest to the smallest number, it is said to be in descending order.

We can write, four friends went scuba diving today,

Ali dove = 70 feet,

Tim went down = 50 feet,

Carl dove = 65 feet,

Brenda reach = 48 feet below sea level.

To determine the order from the person whose death was closest to the surface to the person whose death was the farthest from the surface.

Arrange in ascending order of distance from sea level.

Brenda < Tim  < Carlton < Ali

48feet < 50 feet < 65 feet < 70 feet

Therefore,

The order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:

Brenda < Tim  < Carlton < Ali.

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2. Gwen uses 3 teaspoons of sweetener for every 5 cups of iced tea. How many teaspoons of sweetener should she
add to 30 cups of iced tea if she wants the same flavor?
A. 9
B. 18
C. 28
D. 50

Answers

B . 18
Because it’s a ratio of 3:5 and 30 divided by 5 = 6 x 3 = 18
Hope this helps

Answer:

B: 18

Step-by-step explanation:

3 t for every 5 c

30/5 = 6, 6 groups of 5

6 x 3 (3 for every 5 cups, but x by the 6 groups)

6 x 3 = 18.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

Answers

Answer:between 28000 km and 32000 km

Step-by-step explanation:

How to find the slope intercept form for the equation of the line through (5,1) and (3,-7)

Answers

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{-7 -1}{3 -5} \implies \cfrac{ -8 }{ -2 }\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{4}(x-\stackrel{x_1}{5})[/tex]

[tex]y-1=4x-20\implies y=4x-19\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

After a storm, Michael measured 6 inches of
snow. What is this amount as a decimal?

Answers

Answer:

0.5 feet of snow

Step-by-step explanation:

6 inches is half of a foot because 1 foot = 12 inches.

6 inches / (12 inches / 1 foot) = 0.5 feet of snow

Match each number to a point on the number line.

Answers

Answer:

I dont understand it bc the pic is blurry

Step-by-step explanation:

Please mark Branliest

4. Stanley quilts a square rug that has an area of 400 square inches. What is the length of each side of the
rug?

A. 14 inches
B. 16 inches
C. 18 inches
D. 20 inches

Answers

Answer:

D. 20 inches

Step-by-step explanation:

Area = length * width

20 * 20 = 400 square inches

20 inches

Find the value of each follow expression use a title diagram or a number line to help you 3(4)

Answers

The value of the expression 3(4) can be expressed as 12 with the help of a title diagram or a number line and the explanation for this same can be done easily if we take into consideration a number line.

What does the math number line mean?

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It can also be assumed that every point present on a number line corresponds to a real number, and that every real number also corresponds to a point.

To solve this expression, we can deduce as follows:

As per the number line, for the expression 3(4).

Since it is absolutely positive, thus we will get the final answer in positive that means on the side of the number line lying right to zero.

To express this expression,

3 (4) means we have to move towards the right side of the number line from zero for 4 times and each time covering a total of 3 units each.

Thus, we start from zero, first time we reach 3 then 6, then 9 and then finally 12.

Thus, the value of the expression is received as 12.

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Can’t figure it out I need help on how to do this

Answers

Answer: 11

Step-by-step explanation:

the answer is 11 all it is asking for is finding the mode which simply means the highest group of repeated numbers

The mode of the frequency distribution based on the table is age 11 with 12 students.

What is the mode?

Mode can be defined as the most occurring value in a statistical distribution. It is also the most repeated number.

According to the table given;

Age 9 = 3 students

Age 10 = 10 students

Age 11 = 12 students

Age 12 = 1 students

Based on this information, the age with the most number of students is age 11.

Therefore, the mode is 11

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Needed help asap please and thank you so much !

Answers

Step-by-step explanation:

based on the story told I expected completely different questions.

but for the actually asked question the whole thing about gaining our not gaining weight is competent irrelevant. ignore it.

so, all we need to do is looking at the row totals.

27.4% of the participants took 1 vitamin.

49.5% of the participants took more than 1 vitamin.

so, 49.5% + 27.4% = 76.9% of all participants are taking vitamins in some form.

therefore, the second answer option is correct.

evaluate this please

Answers

Answer:

32

(using indices)

32 = 2

= 2 × 1

= 2²

= 2 = 16

Select all equations that are equivalent to -8x - 6 15. 2 - (Select all that apply.) 4x+3= 15 -4x-3=15 8x+6=30 (-4x - 3) = 15 — − ½ ( 8x + 6) = 15 -​

Answers

Can you make the problem a bit clearer is a bit cluster

Drag the tiles to the boxes to form correct pairs.
Multiply the pairs of numbers, and match them with their products.

Answers

The expressions matched with their correct pairs is

(-8)(-2.2)     →    17.6

(-3.4)(5)      →    -17

(-9.5)(-2)    →     19

(3.8)(-5)     →    -19

From the question, we are to match the tiles to the boxes to form correct pairs

To do this, we will simplify the expressions

(-8)(-2.2)

Multiplying

-8 × -2.2

= 17.6

(-3.4)(5)

Multiplying

-3.4 × 5

= -17

(-9.5)(-2)

Multiplying

-9.5 × -2

= 19

(3.8)(-5)

Multiplying

3.8 × -5

= -19

Hence, the expressions matched with their correct pairs is

(-8)(-2.2)     →    17.6

(-3.4)(5)      →    -17

(-9.5)(-2)    →     19

(3.8)(-5)     →    -19

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I need help with this algebra problem

Answers

The mean of all ninth grader's scores in the city is 80.32

Calculating mean

From the question, we are to determine the mean score for all ninth graders in the city

From the given information,

Mariner High school

Mean score is 75 and the frequency is 265

Everett High school

Mean score is 90 and the frequency is 326

Jackson High school

Mean score is 69 and the frequency is 154

Thus,

The mean score for all ninth graders

= (265×75 + 326×90 + 154×69)/ (265 + 326 + 154)

= (19875 + 29340 + 10626)/745

= 59841/745

= 80.32

Hence, the mean is 80.32

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A cube-shaped shed has 6-foot high walls. If all the shed's walls are painted (not including the floor or ceiling), how much area will be painted?

Answers

The area that would be painted will be 144 square feet

Calculating surface area

From the question, we are to determine the area of the cube-shaped shed that was painted

From the given information,

The cube-shaped shed has 6-foot high walls

From the formula for the surface area of a cube,

Surface area = 6s²

Where s is the measurement of a side

A cube has six sides

Since, the floor and ceiling are not painted,

The area of the shed that was painted will be

Surface area painted = 4s²

s = 6 feet

Thus,

Surface area painted = 4 × 6²

Surface area painted = 4 × 36
Surface area painted = 144 square feet

Hence, the area that would be painted will be 144 square feet  

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Drag the numbers below to put them in order from least to greatest: 1.393 1.3 1.43 1.47 1.301 1.45​

Answers

The order of the number from least to greatest is 1.30, 1.301, 1393, 1.43, 1.45, 1.47.

What is the order of the numbers?

Decimal is used to denote integers and non-integers. The integers are separated by non-integers using a decimal point. An example of a decimal is 1.393.

The place value of 1.393 is

1 - unit value 3 = tenth value 9 = hundredth value 3 = thousandth value

The further away a number is from zero on the number line, the higher the value of the number.

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In a particular parking lot with 24 cars in it, 18 are blue. What fraction of the cars in the parking lot are blue?

Answers

Answer:

3/4

Step-by-step explanation:

If you do a ratio, 18 blue cars to 24 total cars, that would be 18:24. If you simplify that, then you would be left with 3:4. So for every 4 cars, 3 are blue. So 3/4 of the cars in the parking lot are blue.

At how many points does the graph of the function below intersect the x-
axis?
y = 4x²-9x+9
O A. 1
OB. 2
О с. о
SUBMIN

Answers

The points does the graph of the function below intersect the x-axis equation is= y = 4x²-9x+9 is  C) - 0

because this equation does not have any x intercept

Y = 4x² -9x +9 is a quadratic equation

To know at what point this equation intersect x axis we have to put the value of y= 0

Y = 4x²2 -9x +9

0 = 4x² -9x + 9

4x²-9x+9=0

This equation can be solved using quadratic formula

We need to find the value of discriminant

D= √(b²-4ac)

D=√((-9)²-4(4)(9))

D= √(81-144)

D=√(-63)

As the value of discriminate is not a real number so reel roots does not exit and hence this equation does not have any x intercept

Hence, option c is correct because this equation does not have any x intercept

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Is −5 greater than, less than, or equal to |−5|?

Answers

Answer: Less than

Step-by-step explanation:

The symbols || indicate absolute value.

Absolute value changes a number into it's distance from 0 on the number line.  As such, |27| = 27, but |-9| = 9.

Thus, |-5| = 5, and 5 > -5

|-5| > -5

Hope it helps

Answer:

Less than

Step-by-step explanation:

-5 is negetive 5 and |−5| means "positive 5", or just 5

Perimeter of the computer chip. Length 7.18×10⁻⁷ meters, width 3.4×10⁻⁹ meters

Answers

Perimeter of computer chip = 14.428 * ( [tex]10^{-7}[/tex] ) meters .

Given : length = 7.18×10⁻⁷ meters

            breadth = 3.4×10⁻⁹ meters    

To find = perimeter of computer chip

Formula for perimeter of a rectangle :      

Perimeter = 2 ( length + breadth )

Calculations :

Perimeter = 2 [ (  7.18×10⁻⁷ ) + ( 3.4×10⁻⁹ ) ]

On simplifying ,

                = 2 [ [tex]10^{-7}[/tex] ( 7.18 + 0.034 )

            = 2 [  [tex]10^{-7}[/tex] ( 7.214 ) ]

              = 14.428 * ( [tex]10^{-7}[/tex] ) meters

Hence , perimeter = 14.428 * ( [tex]10^{-7}[/tex] ) meters .

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Which expression is equal to (-3- i)+ (5 +6i)?
A.2 +5i
B. -7
C.-4+11i
D.77

Answers

Answer:

A

Step-by-step explanation:

[tex](-3-i)+(5+6i) \\ \\ =-3-i+5+6i \\ \\ =2+5i[/tex]

In a particular class of 26 students , 13 are men. What fraction of the students in the class are women?

Answers

Answer:

1/2

Step-by-step explanation:

Since 13+13= 26 we know that 13 or 1/2 are girls

For a recent year, 34 more Democrats than Republicans represented a country. If the total number of representatives of the country from these two parties was 484, find the number of representatives from each party.

Answers

In linear equation the number of Republicans  are 225  and the number of Democrats are 259 .

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Let Republicans  = x

then Democrats = x + 34

x + x + 34 = 484

2x + 34 = 484

2x = 484 - 34

2x =   450

 x = 450/2

  x  = 225

x + 34  =  225 + 34  ⇒  259

Therefore ,the number of Republicans  are 225  and the number of Democrats are 259 .

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