Marta tried solve the system below, but she made a mistake. Read carefully and try to figure out what her mistake was.

Finding Mistakes in a Solution
What was Marta’s mistake? Explain.

Answer:

see in this picture, the point of Lake House is (-2;5)

                               the point of Cabin is (6;3)

                               the point of Store is (-4;-5)

=> the distance between Lake House to Store is [tex]\sqrt{(-4-(-2))^{2}+(-5-5)^{2} }=2\sqrt{26}[/tex]

the distance between Cabin to Store is [tex]\sqrt{(-4-6)^{2}+(-5-3)^{2} }=2\sqrt{41}[/tex]

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Plug 4 in for each x

Answer:

76

Step-by-step explanation:

given f(x)=x^3+x^2-x what is f(4)

whenever u see f(4) it is telling you that whenever you see an x you would replace it with a 4  so you start substituting the x for 4's or replacing them (same thing XD) 4^3+4^2-4  4 times 4 times 4 = 64 + 4 times 4 = 16

64 + 16 - 4 = 76

Answer:

It will take 1.6 hours for the two trains to be 336 miles apart.

Step by step explanation:

Given that:

Speed of eastbound train = 95 miles per hour

Speed of westbound train = 115 miles per hour

Combined speed = 95+115 = 210 miles

Distance = 336 miles

[tex]Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours[/tex]

Hence,

It will take 1.6 hours for the two trains to be 336 miles apart.

Answer:

[ - 2, - 7 ]

Step-by-step explanation:

Answer: the babies

Step-by-step explanation:

The experimental unit in an experiment is the one on which the experiment is performed. According to the given experiment, the motive is to identify which brand of baby food is helpful in producing healthier babies which can be determined by the weight gain in babies during first few months after providing the baby food.

Here, the experiment units are the babies which are provided with foods of different baby food brands to check their weight gain and determine their health.  

Step-by-step explanation:

Scores of Australia in all four matches starting from 1st 208, 192, 241, 203 respectively.

Similarly, scores of Pakistan in all four matches starting from 1st 102, 202, 360, 276 respectively.

The avg of  Pakistan in one match = (102+202+360+276)/4 = 235

The avg of  Australia in one match = (208+192+241+203)/4= 211

Since, the avg score of Pakistan is more than that of Australia, Pakistan performed better.

The ladder can go as far as 3.1m

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

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Answer:

The correct option is

a. Loana established all necessary conditions but then used an inappropriate congruence criterion

Step-by-step explanation:

The two column proof is presented as follows;

Statement          [tex]{}[/tex]                    Reason

1. PQ = RQ = 9      [tex]{}[/tex]                  Given

2. m∠O = m∠S = 90° [tex]{}[/tex]             Given

3. m∠PQO = m∠RQS = 63° [tex]{}[/tex]   Given

4. ΔOPQ ≅ ΔSRQ [tex]{}[/tex]                  Angle-Side-Angle Congruence

The given parameters shows that the side, adjacent angle, and next adjacent angle of triangle ΔOPQ are congruent to the corresponding side, adjacent angle, and next adjacent angle of triangle ΔSRQ, therefore, the appropriate congruency criterion that shows that ΔOPQ is congruence to ΔSRQ [tex]{}[/tex]is the Side-Angle-Angle which is the same as the Angle-Angle-Side AAS, congruency criterion

Answer: B.

Step-by-step explanation: It's the only table that shows a consistent slope. The equation would be  y=6x+6.

Answer:

B

Step-by-step explanation:

Answer:

2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

You can use a factoring tree to find the prime factorization of 100.

                     +------ 100----------------+

                     |                                  |

                    2                           +---50---------+

                                                  |                    |

                                                  2          +----25----+

                                                               |               |

                                                               5              5

The prime factorization of 100 is 2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

2^2 × 5^2 =

(2×2) × (5×5) =

4 × 25 = 100

5^2 × 2^2 =

(5×5) × (2×2) =

25 × 4 = 100

2*2*5*5=100

2 and 5 are the only prime numbers in this question. 2(2)*5(5) doesnt equal 100.

Answer: it’s b

Step-by-step explanation:

Trust me

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that [tex]perimeter = 2(l + w)[/tex] where l = length & w = width

So,

[tex]2(w + 4 + w) = 208[/tex]

[tex] = > 2(2w + 4) = 208[/tex]

[tex] = > 2w + 4 = \frac{208}{2} = 104 [/tex]

[tex] = > 2w = 104 - 4 = 100[/tex]

[tex] = > w = \frac{100}{2} = 50[/tex]

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

Answer:

Its equal so its 40

Step-by-step explanation:

prove me wrong

First three days;

5L 400 ML;

Next two days 3 L each = a total of 6 L

Remaining 4 days; 1.5 L each which is a total of 4 * 1.5 = 6 L

Total amount drank will be;

6 + 6 + 5L 400 ML

= 17L 400 ML

Therefore, she drank 17L 400 ML that week.

Answer:

Step-by-step explanation:

Total in one week is:

Answer:

-7 =k

Step-by-step explanation:

y = 3x + k

Substitute 3 in for x and 2 in for y

2 = 3*3+k

2 = 9+k

Subtract 9 from each side

2-9 = k

-7 =k

Answer:

3.42

Step-by-step explanation:

Answer:

m = 7

Step-by-step explanation:

Use the slope formula.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}[/tex]

The slope is 7.

Hope this helps.

Answer:

m=7

Step-by-step explanation:

Slope is the change in Y over the change in X

The change in Y is 7

The change in X is 1

7/1 = 7

Answer:

8/7

Step-by-step explanation:

The number on the left is bigger than the number on the right. It is like the fraction is overflowing. You could turn it into 1 1/7 to make it a proper fraction.

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Answer: 2,100$

Step-by-step explanation:

Answer:

5 portions of porridge requires

250g of oats, 0.75L of milk and 25g of sugar

Step-by-step explanation:

This recipe makes 8 portions of porridge. Complete the amount of each ingredient that is needed to make just 5 portions.

The ingredients for the recipe = Oats, Milk, Sugar

Hence:

For Oats

8 portions of porridge = 400g of oats

5 portions of porridge = x

Cross Multiply

8x = 5 × 400

x = 5 × 400/8

x = 250g of oats

For Milk

8 portions of porridge = 1.2 L of milk

5 portions of porridge = x

Cross Multiply

8x = 5 × 1.2

x = 5 × 1.2/8

x = 0.75 L of milk

For sugar

8 portions of porridge = 40g of sugar

5 portions of porridge = x

Cross Multiply

8x = 5 × 40

x = 5 × 40/8

x = 25g of sugar

Hence:

5 portions of porridge requires

250g of oats, 0.75L of milk and 25g of sugar

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

so the two points on the distance-time graph is:

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

E ---> J       F ---> K      G ----> L

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

Here is the complete question:

suppose m is the line with equation x=-5, line n is the line with equation y=1, line g is the line with equation y=x, and line h is the line with equation y=-2. Given A(9,-3), B(6,4), and C(-1,-5), what are the coordinates of the vertices of △A′B′C′ for each reflection?

1. Rx-axis

2. Ry-axis

Answer with step-by-step explanation:

1. When you get the reflecting coordinates along x-axis, the signs of the y coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:

A(9, 3), B(6, -4), and C(-1, 5).

2. When you get the reflecting coordinates along y-axis, the signs of the x coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:

A(-9, -3), B(-6, 4), and C(1, -5).