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LenaWriter [7]
3 years ago
6

Write the equation using the table and graph pictured above (Hint: this is a 2 step equation )

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

y = -2x + 12

Step-by-step explanation:

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

I will use the first point (1, 10) and the last point (5, 2)

Plug in these values:

(2 - 10) / (5 - 1)

Simplify the parentheses.

= (-8) / (4)

Simplify the fraction.

-8/4

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -2(5) + b

To find b, multiply the slope and the input of x(5)

2 = -10 + b

Now, add 10 to both sides to isolate b.

12 = b

Plug this into your standard equation.

y = -2x + 12

This is your equation.

Check this by plugging in the other point you have not checked yet (1, 10).

y = -2x + 12

10 = -2(1) + 12

10 = -2 + 12

10 = 10

Your equation is correct.

Hope this helps!

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Bryce spent $5.26 on some apples prices at $0.64 each and some pears priced at $0.45 each. at another store he could have bought
Reil [10]
Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)

(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6

From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4

Therefore, he bought 4 apples and 6 pears.
3 0
3 years ago
At a bake sale, Tia and Jaden earned $147 from the cookies they had sold. Then they paid Tia’s mother back $18 for materials to
nadya68 [22]

Answer: The total profit is $129

Step-by-step explanation:

The total revenue, was $147 (the total they earned), and the cost of the materials is $18 (how much they returned for the materials)

The total profit is computed as the difference between the revenue and the costs, then the total profit of the kids in this case is:

Profit = $147 - $18 = $129

This means that Tia and Jaden earned $129, if they divide it evenly, each one of them gets $129/2 = $64.5

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3 years ago
The perimeter of the triangle
Illusion [34]
Area=228 feet sqa.
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=19 ft.
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8 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.
Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

AC^{2} + BC^{2} = AB^{2}

AC^{2} + AD^{2} = AB^{2}      (Given that AD = BC)

AC^{2} + AD^{2} = 3^{2}      (Given that AB=3)

AC^{2} + AD^{2} = 9 ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

AD^{2} + CD^{2} = AC^{2}

AD^{2}+(\sqrt{2})^2= AC^{2}

AD^{2}+2= AC^{2}

AD^{2}=AC^{2} -2 ...(ii)


Plug value (ii) into (i)

AC^{2} + AC^{2}-2 = 9

2AC^{2} -2=9

2AC^{2} =11

AC^{2} =\frac{11}{2}

AC=\sqrt{\frac{11}{2} }


Hence final answer is AC=\sqrt{\frac{11}{2} }

8 0
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Answer:

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Step-by-step explanation:

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