MATHEMATICS HIGH SCHOOL

Solve the system by substitution. y = 2x


3x + 2y = 21

Answers

Answer 1
Answer: \left \{ {{y=2x} \atop {3x+2y=21}} \right \longrightarrow \left \{ {{y=2x} \atop {3x+2\cdot2x=21}} \right. \longrightarrow \left \{ {{y=2x} \atop {7x=21}} \right.\longrightarrow \left \{ {{y=2x} \atop \boxed{{x=3}}} \right. \n\ny=2x\longrightarrow y=2\cdot3\longrightarrow \boxed{y=6}
Answer 2
Answer: y=2x;3x+2y=21

Solve y=2x for y

 Substitute (2x) for y in 3x+2y=21

3x+2y=21

3x+22x=21

7x=21 (Simplify)

7x / 7 = 21 / 7(Divide both sides by 7)

x=3

Substitute (3) for x in y=2x:

y=2x

y=(2)(3)

y=6 (Simplified)

y=6 and x=3

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Courtesy of Texas Instruments

y = (x − 1)2
y = (x − 1)2 + 1
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y = (x + 1)2

Answers

Correct answer is D.

Graph passes through the point (-1, 0).
Therefore, x = -1 and y = 0.

y=(x+1)^2\n0=(-1+1)^2\n0=0^2\n0=0 \;\; \text{T}

This is the only equation which is true for x = -1 and y = 0.
Therefore, the solution is y=(x+1)^2

Answer:

y = (x + 1)^2

Step-by-step explanation:

I used desmos and put each answer choice into the graphing calculator and answer choice D was the only one that matched with the image in the question.

What does this line look like? y = - 3/7x + 1

Answers

It a negative slope. Start at 1 and then go down 3 and left 7 :) 

74. Seven workers are hired to seed a field by hand. Each is given a plot 7 x 7feet in size. What is the total area of the field?

Answers

Answer:

The total area of the field is 343 square feet

Step-by-step explanation:

Let us solve the question

∵ There are 7 workers hired to seed a field by hand

∵ Each is given a plot 7 x 7  feet in size

→ The plot has shaped a square because its two dimensions equal

∴ The side of the plot =7 feet

∵ The area of the square = side × side

∴ The area of each plot = 7 × 7

∴ The area of each plot = 49 square feet

→ To find the total area multiply the area of 1 plot by the number

   of the workers

∵ The total area = 49 × 7

∴ The total area = 343 square feet

∴ The total area of the field is 343 square feet

Find the distance between the two points. Round to the nearest tenth if necessary.(8, 8), (12, 11)

7
5
25
28

9.
Find the distance between the two points. Round to the nearest tenth if necessary.

(–2, –6), (3, 9)

15.8
250
3.2
20

Answers


The distance formula is expressed as square root of the square of the difference of y's and the square of the difference of x's. 
In 1) d = square root of (11-8)^2 + (12-8)^2       d = 5
In 2) d = square root of (9+6)^2 + (3+2)^2       d = 5 square root of 10      d = 15.81

Answer:

1.

option B is correct

2.

Option A is correct.

Step-by-step explanation:

Using distance formula:

d = √((x_1-x_2)^2+(y_1-y_2)^2)

1.

Given the points:

(8, 8) and (12, 11)

then;

d = √((8-12)^2+(8-11)^2) = √((-4)^2+(-3)^2) = √(16+9) =√(25) = 5

Therefore, the distance between the two points is, 5 units.

2.

Given the points:

(-2, -6) and (3, 9)

then;

d = √((-2-3)^2+(-6-9)^2) = √((-5)^2+(-15)^2) = √(25+225) =√(250) = 15.8

Therefore, the distance between the two points is, 15.8 units

I needs it the question asap

Answers

Answer:

The pink box

Step-by-step explanation:

Answer:

light blue is what i got not so sure if it right tho

:P

Step-by-step explanation:

Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for food for a month? Round to the nearest dollar

Answers

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