7. Two students solved the problems below. One of the students made an error. Explain the
student's error and how you would help the student get the correct answer.
MARIELBI
18.66 +3
6.33
NICO
62.4 13
+
4.8

The equation of the line that passes through the points ( -6,-10 ) and ( 6,-2 ) is y = (2/3)x - 6.

The equation of line is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the data in the question;

Point 1( -6,-10 )

Point 2( 6,-2 )

First, we determine the slope "m" of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -2 - (-10) ) / ( 6 - (-6) )

m = ( -2 + 10 ) / ( 6 + 6 )

m = 8 / 12

Slope m = 2/3

Next, we determine the y-intercept "b"

y = mx + b

-10 = (2/3)(-6) + b

-10 = -12/3 + b

-10 = -4 + b

b = -10 + 4

b = -6

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (2/3)x + (-6)

y = (2/3)x - 6

Therefore, the equation of the line is y = (2/3)x - 6.

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Answer:

25 length and 25width

Step-by-step explanation:

we need to find the biggest area with a perimeter of 100 and all sides need to be the same. So you divide 100 by 4 and you get 25 for width and 25 for length

The equation of line perpendicular to the line 5x + 3y = -21 will be;

⇒ y = 3x/5 + 4

What is Equation of line?

The equation of line with slope m and passes through the point

(x₁, y₁) is;

⇒ y - y₁ = m (x - x₁).

Given that;

The equation of perpendicular line is,

⇒ 5x + 3y = -21

And, The point on the line will be (-5 , 1)

Now,

The product of the slopes of the perpendicular line will be -1.

Slope of the perpendicular line 5x + 3y = -21 is;

5x + 3y = -21

y = - 5x/3 - 21/3

y = -5x/3 - 7

dy/dx = m₁ = -5/3

So, The slope of line which is perpendicular to the line is;

m₁ m₂ = -1

m₂ = -1/m₁

m₂ = 3/5

So, The equation of line perpendicular to the line 5x + 3y = -21 and passes through the point (-5, 1) is;

⇒ y - y₁ = m (x - x₁).

⇒ y - 1 = 3/5 (x - (-5)).

⇒ y - 1 = 3/5 (x + 5)

⇒ 5 (y - 1) = 3 (x + 5)

⇒ 5y - 5 = 3x + 15

⇒ 5y = 3x + 15 + 5

⇒ 5y = 3x + 20

⇒ y = 3x/5 + 4

Thus, The equation of line perpendicular to the line 5x + 3y = -21 will be;

⇒ y = 3x/5 + 4

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The graph for the function y = -2/3 is shown in the image below.

The function of a horizontal line is expressed as y = b, where b is the point on the y-axis where the line intercepts the y-axis.

This means that, the graph of y = b would be a graph that has its line cutting across the y-axis at point b on the y-axis, showing a horizontal line.

Given the function, y = -2/3, this shows that b, which is -2/3, is the value of the y-coordinate where the line intercepts or cuts the y-axis. The graph of this function would be a graph that is horizontal and passes through the point, y = -2/3 on the y-axis.

The graph of y = -2//3 is given in the diagram attached below.

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A 28.26

The approximate circumference of a lid that will fit his frying is 28.26.

Circumference of circle

In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

Formula of circumference if a circle is 2[tex]\pi[/tex]r.

Given that the diameter of the pan is 9 inches.

Radius of pan = 4.5 inches

Therefore circumference of pan = 2 × (22/7) × 4.5

                                                      = 28.28 inches

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In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

Formula of circumference if a circle is 2r.

Given that the diameter of the pan is 9 inches.

Radius of pan = 4.5 inches

Therefore circumference of pan = 2 × (22/7) × 4.5

= 28.28 inches

Yes, The triangles are congruent by SSS i,e option(D)

When two corresponding sides and the angle included between them of one triangle match those of two corresponding sides and the angle included between them of another triangle, the two triangles are said to be congruent. Two triangles are said to be congruent if their three sides and three angles, in any orientation, are equal.

By applying the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, the two sides of the triangle in issue are made equal, hence making the third sides equal.

Therefore, we can say the triangles are congruent by SSS i,e option(D)

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Answer:   No, there isn't enough carpet

Explanation:

The room is 20 feet by 15 feet. The floor area is length*width = 20*15 = 300 square feet, which is larger than the 270 sq ft of carpet you have available. Therefore, you don't have enough carpet. The amount needed is 300-270 = 30 sq ft

Answer:

No

Step-by-step explanation:

20 ft*15 ft=300 ft^2

you need to cover 300 ft^2

you only have 270 ft^2

so you can't cover it

Answer:

x= number of matinee tickets sold = 900

y= number of student tickets sold = 1800

z= number of regular tickets sold = 5800

steps below.

If this helped please mark my answer as the brainliest, thank you!

Answer:

System of equations:

[tex]\begin{cases}m + s + r = 8500\\5m + 6s + 8.5r = 64600\\s = 2m\end{cases}[/tex]

(where m is the number of Matinee tickets sold, s is the number of Student tickets sold and r is the number of Regular tickets sold).

Step-by-step explanation:

Given information:

Define the variables:

Equation for the total tickets sold:

Equation for the total proceeds:

Equation for twice as many Student tickets were sold than Matinee tickets:

Therefore, the system of equations is:

[tex]\begin{cases}m + s + r = 8500\\5m + 6s + 8.5r = 64600\\s = 2m\end{cases}[/tex]

Solving the system of equations

To solve the found system of equations, substitute the third equation into the first equation and isolate r:

[tex]\implies m+2m+r=8500[/tex]

[tex]\implies 3m+r=8500[/tex]

[tex]\implies r=8500-3m[/tex]

Substitute the found expression for r and the third equation into the second equation and solve for m:

[tex]\implies 5m+6(2m)+8.5(8500-3m)=64600[/tex]

[tex]\implies 5m+12m+72250-25.5m=64600[/tex]

[tex]\implies 72250-8.5m=64600[/tex]

[tex]\implies 8.5m=7650[/tex]

[tex]\implies m=900[/tex]

Therefore, the total number of Matinee tickets sold was 900.

Substitute the found value of m into the third equation and solve for s:

[tex]\implies s=2(900)[/tex]

[tex]\implies s=1800[/tex]

Therefore, the total number of Student tickets sold was 1800.

Substitute the found value of m into the found equation for r and solve for r:

[tex]\implies r=8500-3(900)[/tex]

[tex]\implies r=8500-2700[/tex]

[tex]\implies r=5800[/tex]

Therefore, the total number of Regular tickets sold was 5800.

The new vertices of the trapezoid after translation:

A'( - 7, 8 ), B'( 7, 2 ), C'( - 1, 0 ), and D'( - 3, 4 ).

Consider the trapezoid ABCD with vertices as:

A( - 3, 6 ), B( 0, 7 ), C( 1, 4 ), and D( - 5, 2 )

When a figure is relocated from one place to another without changing its size, shape, or orientation, a transition known as translation takes place.

For example: ( x, y ) → ( x + 4, y - 1 )

Consider the point ( - 3, 6 ),

Point A when translated 4 units horizontally to the left and 2 units upward will be:

A( - 3, 6 ) → A'( - 3 - 4, 6 + 2 ) = A'( - 7, 8 )

Point B when translated to the right by 7 units and downwards by 5 units will be:

B( 0, 7 ) → B'( 0 + 7, 7 - 5 ) = B'( 7, 2 )

Point C when translated to the left by 2 units and downwards by 4 units will be:

C( 1, 4 ) → C'( 1 - 2, 4 - 4 ) = C'( - 1, 0 )

Point D when translated to the right by 2 units and upwards by 2 units will be:

D( - 5, 2 ) → D'( - 5 + 2, 2 + 2 ) = D'( - 3, 4 )

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If a vertical line exists moved across the graph and, at any time, touches the graph at only one point, then the graph exists a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

The vertical line test is a visual approach for assessing whether a curve in the plane accurately depicts the graph of a function by counting the points on the curve where vertical lines cross it. Consequently, any vertical line in the plane can only ever cross the graph of a function once.

Use the vertical line test to define whether or not a graph represents a function. If a vertical line exists moved across the graph and, at any time, touches the graph at only one point, then the graph exists a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Therefore, the correct answer is option D. No, the graph fails vertical line test.

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The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

Based on the given conditions,

The length of her javelin throws in the first round must be at least 195 feet.

She has 1 more throw left in the first round.

This list shows the length, in feet, of Natalie's first 7 javelin throws.

= 188, 204, 194, 195, 187, 201, 199

The minimum length is,

= 188 + 204 + 194 + 195 + 187 + 201 + 199

= 1368

Let us assume,

Final length = x

So,

We can write,

( x + 1368 ) / 8 ≥ 195

x + 1368 ≥ 195 * 8

We can multiply the coefficient,

x + 1368 ≥ 1560

x ≥ 1560 - 1368

We can sum or difference the coefficient,

x ≥ 192

This is Inequality function.

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤ or ≥.

Therefore,

The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

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Answer:

$3

Step-by-step explanation:

20 - 20 (85%)

= 20 - 17

= 3

So, if in 15 minutes, a person can burn 120 calories. In 1 minute, a person can burn 8 calories.

120 ÷ 15

8

15 | 120

120

0

NOW, how many calories a person burn in 1.5 hours?

60 × 1.5

60

X 1.5

300

60

90.0

15 minutes x 8 calories = 120 calories (GIVEN)

90 minutes × 8 calories

90

x 8

720

Answer: 36 5/9

Step-by-step explanation:

The like terms in the expression are 2x and 3x, and the solution is 3x^2 + 5x - 1

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

3x(exponent of 2) + 2x + 3x -1

Rewrite the expression properly

So, we have

3x^2 + 2x + 3x -1

The like terms are the expressions that have the same variables

In this expression, the like terms are 2x and 3x

When evaluated, we have

3x^2 + 5x - 1

Hence, the equivalent expression is 3x^2 + 5x - 1

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Based on the cost to rent the trumpet, I agree that the trumpet's buying price is almost the same as the cost to rent the trumpet.

The trumpet would cost about $575 to be bought if the friend decided to buy it outright.

If they decided to rent the trumpet however, the rental cost of the trumpet would be:

= Initial fee + (Monthly fee x Number of months in year)

The initial fee is $25 and the monthly fee is $45. The total cost to rent the trumpet in a year is:

= 25 + (45 x 12)

= 25 + 540

= $565

The cost of renting is $565 and this is close to the cost of buying which is $575.

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The difference between the following term is 7 and explicit rule is

[tex]a_{n}=-17+7n[/tex]

Explicit rule is a rule that you can solve without needing the previous term.

The nth term in the series is where the explicit formula can be expressed. The explicit formula of the sequence for the arithmetic progression a, a + d, a + 2d, a + 3d,...a + (n - 1)d is formed by the nth term. An = a + (n - 1)d is the explicit formula for this arithmetic series. The explicit formula can also be calculated for the harmonic and geometric sequences.

Here, [tex]a_{n}=-17+7n[/tex]

put n = 1

[tex]a_{n}[/tex]= =-17+7(1)

= -17+7

=-11 which is the first term

similarly for n = 4

-17+7(4)

= -17+ 28 =11 which is the fourth term.

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Answer:

y = -1/2x - 4

Step-by-step explanation:

The perpendicular line always changes with the negative reciprocal of the slope.

Answer:

84 pairs of shoes

Step-by-step explanation:

Since Cici has  pairs of shoes, use this equation to solve for the number of pairs of shoes Aubree has

Answer: 9/20 or 0.45

Step-by-step explanation:

simplify the expression.

this is:

answer: E

Answer: m<F = 134
EF = 18in

Step-by-step explanation:
Since both angles FEG and FGE are equal, we could make out that lines EF and FG are equal measures making an isosceles triangle. Therefore we just add up both 23 to get 46 and subtract it by 180 getting 134

Question: Carly is saving money babysitting on the weekends. last month, she saved $120. this month, carly saved 30% more than she saved last month. how much did she save this month?

Answer: Goodmorning: } It's $156.

Step-by-step explanation:  you would change the 30% to a decimal by moving the decimal point two spaces to the right.

this would get you .30 or .3

you would then multiply the $120 by .3

you would get 36

then since she saved 30% MORE you would add the 36 to the 120 and get 156.

Have a nice day !!!

If a coin weighing 11.5 grams, has 12 Percentage of Cu content by mass in it, then the exact quantity of Cu in the coin in grams will be 1.38 grams.

As per the question statement, a coin weighing 12 grams, has 12 % of Cu content by mass in it.

We are required to calculate the exact quantity of Cu present in the coin in grams, from the above mentioned data.

To solve this question, we will simply need to calculate 12% of 11.5, and we will obtain our desired answer, that is,

12% of 11.5 = [(12/100) * 11.5] = (0.12 * 11.5) = 1.38 grams.

Hence, a coin weighing 11.5 grams, having 12 Percentage of Cu content by mass, will have 1.38 grams of Cu inside it.

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Answer:

thx for the points have a nice day too

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Double 4 and add

or

4x2.

( ik this is a joke ;] )