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3 years ago

12

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

2 answers:

Nezavi [6.7K]3 years ago

7 0

<span>y = 3x - 4
x = 9
then
</span>y = 3x - 4
y = 3(9) - 4
y = 27 - 4
y = 23

solution (9, 23)

answer

<span>D. (9, 23)</span>

Luba_88 [7]3 years ago

5 0

A=8
B=0
C=0
D=0
Put the x in the substitute of the x in the parenthesis, place the y in front on the equal and solve

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Ricky the rabbit eats 1 on Sunday 2carrots on Monday 4 carrot on Tuesday and so on how many carrots does he eat every week?

Anna11 [10]

Answer:

7

Step-by-step explanation:

Because I added up all of the numbers by using ow many carrots he eats a day and then that gets me my answer of 7 hope this helps!!

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3 years ago

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Nina [5.8K]

Answer:

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Step-by-step explanation:

then I can help u

6 0

3 years ago

Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round

Karo-lina-s [1.5K]

Answer:

1. D. $50\text{ units}^2$

2. D. 45 units.

Step-by-step explanation:

We have been two graphs.

1. To find the area of our given triangle we will use distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of base line of our triangle we will get,

$\text{Base length of triangle}=\sqrt{(15-5)^2+(5-15)^2}$

$\text{Base length of triangle}=\sqrt{(10)^2+(-10)^2}$

$\text{Base length of triangle}=\sqrt{100+100}$

$\text{Base length of triangle}=\sqrt{200}$

$\text{Base length of triangle}=10\sqrt{2}$

Now let us find the height of triangle similarly.

$\text{Height of triangle}=\sqrt{(20-15)^2+(10-5)^2}$

$\text{Height of triangle}=\sqrt{(5)^2+(5)^2}$

$\text{Height of triangle}=\sqrt{25+25}$

$\text{Height of triangle}=\sqrt{50}$

$\text{Height of triangle}=5\sqrt{2}$

$\text{Area of triangle}=\frac{\text{Base*Height}}{2}$

$\text{Area of triangle}=\frac{10\sqrt{2}*5\sqrt{2}}{2}$

$\text{Area of triangle}=\frac{50*2}{2}$

$\text{Area of triangle}=50$

Therefore, area of our given triangle is 50 square units and option D is the correct choice.

2. Using distance formula we will find the length of large side of triangle as:

$\text{Large side of rectangle}=\sqrt{(14-1)^2+(21-8)^2}$

$\text{Large side of rectangle}=\sqrt{(13)^2+(13)^2}$

$\text{Large side of rectangle}=\sqrt{169+169}$

$\text{Large side of rectangle}=\sqrt{338}$

$\text{Large side of rectangle}=13\sqrt{2}$

$\text{Small side of rectangle}=\sqrt{(4-1)^2+(5-8)^2}$

$\text{Small side of rectangle}=\sqrt{(3)^2+(-3)^2}$

$\text{Small side of rectangle}=\sqrt{9+9}$

$\text{Small side of rectangle}=\sqrt{18}$

$\text{Small side of rectangle}=3\sqrt{2}$

$\text{Perimeter of rectangle}=2(\text{Length + Width)}$

$\text{Perimeter of rectangle}=2(13\sqrt{2}+3\sqrt{2}}$

$\text{Perimeter of rectangle}=2(16\sqrt{2}}$

$\text{Perimeter of rectangle}=32\sqrt{2}$

$\text{Perimeter of rectangle}=45.2548339959390416\approx 45$

Therefore, the perimeter of our given rectangle is 45 units and option D is the correct choice.

8 0

4 years ago

Read 2 more answers

A line passes through the points (−3,1) and (1,−2). This line can be modeled by the equation y=ax+b. What are the values (in fra

victus00 [196]

Answer:

see explanation

Step-by-step explanation:

y = ax + b is the equation in slope- intercept form

where a is the slope of the line and b is the y- intercept

To find a use the slope formula

a = (y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (1, - 2)

a = $\frac{-2-1}{1+3}$ = - $\frac{3}{4}$ = - 0.75, hence

y = - 0.75 + b

To find b substitute either of the 2 points into the equation

using (1, - 2), then

- 2 = - 0.75 + b ⇒ b = - 2 + 0.75 = - 1.25 = - 1 $\frac{1}{4}$

7 0

3 years ago

Help me if you'd like

astraxan [27]

Answer:

C

Step-by-step explanation:

3 5/9 is the equavilent to 3.5555555556

This decimal is closet to C because you'd have to round up to make the decimal only in the tenths place

Hope it helps! Good luck!

5 0

3 years ago

Read 2 more answers