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wel
2 years ago
7

The sum of Kyra's and Caleb's ages is 37. Caleb's age is equal to twice the quantity of Kyra's age decreased by 4. Let k represe

nt Kyra's age.
Complete each expression to represent the situation.



Kyra's age: , 1 of 3.
Select Choice
years



Caleb's age: , 2 of 3.
Select Choice
(k − , 3 of 3.
Select Choice
) years

Part B
Add the two expressions and set this sum equal to 37 to model the situation with an equation. Solve for k. How old is Kyra?
Mathematics
1 answer:
frosja888 [35]2 years ago
7 0
Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Answer: k=41/3
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3 years ago
write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
EastWind [94]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \textsf{y + 5 = -1/4(x - 4)}
  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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