Which equation represents a line that passes through (5’1) and has a slope of 1/2?

Answer:

The value of a in the given equation is '4'

Step-by-step explanation:

The given equation is: 3a + 2b = 8 and b = -2

Plug the value of b into the formula:

3a + 2(-2) = 8

3a - 4 = 8

We want 3a by itself so we will add +4 to both sides:

3a - 4 + (4) = 8 + (4)

3a = 12

Divide both sides by 3 so a is by itself:

3a/3 = 12/3

1a = 4

a = 4

Answer:

Step-by-step explanation:

We'll look for a line with the form of y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

A parallel line will have the same slope as the reference line,  For y=3x-8, the slope is 3.  We can write:

y =3x + b for the new line.  We need a value of b that will cause the line to include point (6,-4).  To find a b that will work, simple use the given point in the above equation and solve for b:

y =3x + b

-4 =3(6) + b  for (6,-4)

-4 =18 + b

b = -22

The parallel line that goes through point (6,-4) is y = 3x - 22

See the attached graph.

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

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Answer:

1 is e(200) . 2 is e(-2) . 3 is O te(-02) . 4is # e(30) .

The total number of students in the orchestra, the band, and the choir is 195

From the questions, we are to determine how many students in total are in the orchestra, the band, and the choir

From the given information,

There are 46 students in the orchestra and twice that number in the band.

Thus,

Number of students in the orchestra = 46

Number of students in the band = 2 × 46 = 92

And

There are 34 boys and 23 girls in the choir

∴ Number of students in the choir = 34 + 23 = 57

Then,

The total number of students in the orchestra, the band, and the choir = 46 + 92 + 57

Total number of students in the orchestra, the band, and the choir = 195

Hence, the total number of students in the orchestra, the band, and the choir is 195

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Answer:

-7 1/6

Step-by-step explanation:

Subtract the whole numbers first.

-5-2 = -7

Now the fractions:

1/2 and 1/3

We need to find a common denominator. It's 6.

So,

for 1/2 multiply the numerator and denominator both by 3. You get 3/6.

Now 1/3:

Multiply 1 and 3 with 2. you get 2/6.

Subtract:

3/6-2/6=

1/6

Putting whole number and fraction togethr: -7 1/6

In order to find equation, first find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]

Given points: (-3, 7) and (6, -5)

[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]

Equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

insert values

[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]

Answer:

$900

Step-by-step explanation:

x = the cost of the tickets

y = the cost of dj & decorations

In the first situation, the profit of -$150 = 75x - y

In the second situation, the profit of $100 = 100x - y

Using the first situation, we isolate y as follows:

-150 = 75x - y

Add y to each side: y-150 = 75x

Add 150 to each side to isolate y

y = 75x + 150

Use this formula in the second situation in place of the y

Original formula: 100 = 100x - y

With substitution: 100 = 100x - (75x + 150)

Simplify to: 100 = 25x - 150

Add 150 to both sides: 250 = 25x

Divide both sides by 25: 10 = x

Input the 10 in for x in either formula above

-150 = 75(10) - y

-150 = 750 - y

Add y to both sides

y - 150 = 750

Add 150 to both sides

y = 900

Answer:

311.0

Step-by-step explanation:

pi3^2(11)

pi r^2 (h)

Answer:

I do not know the answer but I will just waffle to you

Step-by-step explanation:

540 divided by 3 equals 180 divided by 3 equals 60 then divide it by 3 again and you'll get the answer

Answer:

Hi,

Step-by-step explanation:

The playground 's area is the difference of 2 squares:

20²-10²=(20+10)*(20-10)=30*10=300 (ft²)

The table does not represent a function because (c) No, because one x-value corresponds to two different y-values.

The table of values is given as:

X Y

3 1

4 3

5 2

6 5

6 6

From the table of values, we have:

Y = 5 and 6 when X = 6

A table of values that is a function would have a y value of each x value

Hence, the table does not represent a function because one x-value corresponds to two different y-values.

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Answer:

24 you used to write about something else

Answer:

Step-by-step explanation:

The average rate of change of the function at the interval is -8

The table that completes the question is added as an attachment

From the table, we have:

f(5) = -26

f(3) = -10

The average rate is then calculated as:

Rate = (f(5) - f(3))/(5 -3)

This gives

Rate = (-26 + 10)/(5 -3)

Evaluate

Rate = -8

Hence, the average rate of change of the function is -8

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Answer:

The answer is 18,700

Step-by-step explanation:

if you add 9,500+ 9,000 you get 18,500 add 200 and your answer is 18,700

Answer:

can u make it in a sentence cause I don't understand ur question

Answer:

i don't know

Step-by-step explanation:

Answer: C. [tex]g(x)=2x^3+4[/tex]

Step-by-step explanation:

When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: 5 < b = 6 \: \: \: or \: \: \: b - 5 = 6 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b - 5 = 6 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b = 6 + 5 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow \: \: \underline{ \boxed{\mathbf \red{ \: \: b = 11 \: \: }}} \\ \end{gathered}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \small \color{blue}{ \underline{\boxed{ \begin{array}{cc} \small \underline{\underline{\bf{ \color{red}{{ \orange \bigstar \: MᴏʀE \: IᴅᴇɴᴛɪᴛɪᴇS \: \orange \bigstar}}}}} \\ \\ \: \frak{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }\:\\ \\ \: \frak{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }\:\\ \\ \: \frak{ {x}^{2} - {y}^{2} = (x + y)(x - y)}\:\\ \\ \: \frak{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}\:\\ \\ \: \frak{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}\:\\ \\ \: \frak{ {(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}\:\\ \\ \: \frak{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) }\:\\ \\ \: \frak{ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )}\: \\ \: \end{array} }}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \: \: [/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

^०^

Step-by-step explanation:

(−424.9) × (-0.1) = 42.49

2.7 × (−0.5) = -1.35

Answer: Heyaa! ~

Your Answers when Multiped are...

Step-by-step explanation:

     - Multiplied. -

 Hopefully this helps you! ~

The reason why Fiona cannot make a valid prediction based on the mean of the population is that the variation of Fiona’s samples is too large.

Mean is quite sensitive to outliers so it is best used when the variation between variables is not too much.

In Fiona's case, there variation is quite high with high variable of 95 compared to a low value of 45.

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Answer: just confirming/

Step-by-step explanation:

Answer:

27.778%

Step-by-step explanation:

30-12= 18

numbers greater than 25 = 5

5/18 =26.778%

Answer:

A 25%

Step-by-step explanation:

hope this helps

Answer:

338.64

Step-by-step explanation:

set up a proportion x/408=83/100 cross multiply you get 338.64

Answer: 338.64 is the Answer.  

Step-by-step explanation:

83 x 408/100  (First do 83 x 408, then divide the answer by 100.)  

= 338.64

Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Answer:

5,6

Step-by-step explanation:

2+8=10/2=5

3+9=12/2=6

5,6

The range of the function shown in the graph are all real numbers.

The range of a function is the set of its possible output values.

The range of a function are the dependent variables.

In other words, the range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain or independent variable.

According to the values of y on the graph the range are all real numbers.

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