Li tried to evaluate an expression step by step. Find Li's mistake. What is the mistake he made. Is it A:step 1, B:step 2, C:step 3 or D: Li did not make a mistake ???

Given:

The system of equation is

[tex]y-8=-\dfrac{1}{3}x-4[/tex]

[tex]y=-\dfrac{1}{3}x-4[/tex]

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

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

Write the given equation in slope intercept form.

The first equation is

[tex]y-8=-\dfrac{1}{3}x-4[/tex]

[tex]y=-\dfrac{1}{3}x-4+8[/tex]

[tex]y=-\dfrac{1}{3}x+4[/tex]              ...(i)

Here, slope is [tex]-\dfrac{1}{3}[/tex] and y-intercept is 4.

The second equation is

[tex]y=-\dfrac{1}{3}x-4[/tex]              ...(i)

Here, slope is [tex]-\dfrac{1}{3}[/tex] and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

Answer:

[tex]let \: their \: points \: of \: intersection \: be \to \: x \\ since : \\ \: \overline{MN} \: intersects \: \overline{QL} \: at \: point \: x : \\ and\\ \overline{QL} \: also \: meets \: \overline{MN} \: at \: point \: x : \\ hence \: \overline{QL}\: and \: \overline{MN} \: bisects \: each \: other.[/tex]

Answer:

eeuu

Step-by-step explanation:

dijud

cost to play: $4

prize: $10

probability of winning: 0.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3-5 = -2

absolute value of -2 is 2.

Answer: 43.75%

Good Luck!

Answer:

It is -1/6 so ye hope this helps

Answer:

The answer is b. the range of Greta's graph is y<0

Step-by-step explanation:

Answer:

15/17

Step-by-step explanation:

the cosine is the adjacent divided by the hypotenuse. The adjacent of a is 15 and the hypotenuse is 17 so the ratio is 15/17

Hope this helps and have a good day :)

Answer:

Right isosceles triangle

Step-by-step explanation:

I took the quiz and got it wrong, but it told me the correct answer

A right isosceles triangle has exactly 2 equal sides and one right angle.

Given that, a triangle has exactly 2 equal sides and one right angle.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Right isosceles triangle: An isosceles right triangle is defined as a right-angled triangle with an equal base and height which are also known as the legs of the triangle.

Obtuse isosceles: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.

Right triangle: A right triangle is a triangle in which one angle is 90°.

Hence, right isosceles triangle has exactly 2 equal sides and one right angle.

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Answer:

6.82 kg

Step-by-step explanation:

set up a proportion based on 2.2 lbs in 1 kg

2.2/1 = 15/x

cross-multiply:

2.2x = 15

x = 6.82

The value of 15 lb in kg is 6.81 kg.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We know that;

⇒ 1 lb = 0.454 kg

Hence, We get;

⇒ 1 lb = 0.454 kg

⇒ 15 lb = 15 × 0.454 kg

            = 6.81 kg

Thus, We get;

⇒ 15 lb = 6.81 kg

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Answer:

1. C

2. A

3. A

4. D

Step-by-step explanation:

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: [tex]x=\frac{-b}{2*a}[/tex]. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

[tex]t=\frac{44.1}{2*(-4.9)}[/tex]

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.

Answer:

Linda has £24 and Philip has £30.

Step-by-step explanation:

Denote a variable to the amount of money Linda and Philip have:

Money Linda has = L

Money Philip has = P

L + P = 54

There is a ratio of 4:5 so for every £4 Linda has, Philip will have £5. When adding both values, 4+5, you get 9.

Divide the total amount of money by the sum of the ratio numbers so 54/9 which gives 6.

Multiply the number you get from the division by their respective ratios.

Linda = 6 * 4 = 24

Philip = 6 * 5 = 30

Add both numbers if you want to make sure the answer is correct.

Answer:

Step-by-step explanation:

400/700 = 4/7

salt: 4/7 × 14 g = 8 g

yeast: 4/7 × 7 g = 4 g

oil: 4/7 × 35 mL = 20 mL

water: 4/7 × 420 mL = 240 mL

Answer:

There are no solutions.

Step-by-step explanation:

−2x=−2(x−14)

-2x=(−2)(x)+(−2)(−14)

-2x=−2x+28

-2x+2x=−2x+28+2x

0= 28

Answer:

8 :)

Step-by-step explanation:

Answer:

y = 2, x = -1

Step-by-step explanation:

2y - 5x = 9

2y = 9+5x

y = (9+5x) /2

4y + 3x = 5

4((9+5x) /2) + 3x = 5

13x + 18 = 5

13x = -13

x = -1

y = (9+5x) /2

y = (9+5(-1)) /2

y = 2

Answer:

x = -1, y = 2

Step-by-step explanation:

2y - 5x = 9

4y + 3x = 5

eliminate one of the variables by multiplying the equations and then adding them together.

3(2y - 5x = 9)

5(4y + 3x = 5)

6y - 15x = 27

20y + 15x = 25

26y = 52

y = 2

now input the value of y into one of the original equations to find x.

8 + 3x = 5

8-5 = 3

x = -1

Answer:

A) x= -9

B) x=5

C) x=5

D) x=5

Step-by-step explanation:

Answer:

100×150

it's the answer

Answer:

D

Step-by-step explanation:

divide the fraction lol

Answer:

D

Step-by-step explanation:

gchchchxhccydhdjchhxxhxchxxhbddbxbdbhdxh

Answer:

x=5/3 or 2

Step-by-step explanation:

Answer:-0.16666666666

Step-by-step explanation:

Answer:

y = -27

Step-by-step explanation:

-3 * 3 = -9 * 2 = -18/9 = -27

Answer:

The answer is Y=-27

Step-by-step explanation:

Hope this helped

Answer:

15...

Step-by-step explanation:

Is this the full question?

I guess the question is somewhat incomplete. Please check and post again.

Answer:

115 degrees

Step-by-step explanation:

We know that angle y is 45 degrees and angle z is 70 degrees so to find x, you do 180-45-70 to get 65 degrees.

Because W plus X has to equal 180 degrees, 180-65=115, so the answer is 115 degrees

Answer:

choice 3) W = 115 degrees

Step-by-step explanation:

all triangle interior angles add up to 180 degrees

180 = 45 + 70 + X

X = 65 degrees

Angle W is supplemental to angle X (angle W and angle X add up to 180 degrees.)

W = 180 - 65 = 115 degrees

Answer:

yes it is

Step-by-step explanation:

plug x and y in

3 * 5 - 10 = 5 <== And this is true

Answer:

The answer would be yes.

Answer: 119°

Step-by-step explanation:

∠FAE + ∠CAF = ∠BAD (Vertical angles)

62° + 57° = 119°

∠BAD = 119°

Answer:

1/12 l

Step-by-step explanation:

Amount of milk = 1/ 3 l

No: of mugs = 4

Amount in each mug =  1/3 ÷ 4 = 1/3 x 1/4 = 1/12 l  

(Hope its right!)

Answer:

They will have 1/12 of a liter of milk on each mug because you are dividing 1/3 into 4 so the denominator is multiplied by 4

Answer:

a) -2.5x+3.9+1.7x

circle: 2.5x and 1.7x

variables: x

b) 1 1/2+t+2/3s

no like terms

variables: s and t

c) 15k+2/3k+3m

circle: 15k and 2/3k

variables: k and m

Answer:

equtions have mathematical signs and descritions are like riddles and you have to figure out the operation

Step-by-step explanation:

When The equations have mathematical signs and also descriptions are like riddles. Then we have to figure out the operation.

Equation                                                    Verbal description

y =                                                                 T-shirts are being

1.25x                                                             sold in a store for

                                                                              $5.25 each.

A variable is a missive used to represent a value or unexplored quantity that can modify or vary in an expression or equation.

An utterance is a variety of variables, quantities, and mathematical functions; 4, 8 x, and b + 102 are all expressions.

An equation is an presentation set equal to another expression; a = 4, 1 + 23 = x + 9, and (2 + 3)1 = 2 c. are all equations. 1 3. 6. 1: Formation Processes from Context.

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