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topjm
10 days ago
12

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
A.The area of the rectangle is 88 square inches.
B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
D.The triangle has a base of 11 inches and a height of 8 inches.
The rectangle has a width of 4 inches.

Mathematics
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What is the coefficient in the expression shown? 42+2c
zzz [12365]
There exist two coefficients: one pertains to x raised to the first degree, and another corresponds to the zeroth degree of x (the constant term).

Thus:
the coefficient for the constant term is 42 (i.e. 42x^0=42).
the coefficient for the linear term is 2 (i.e. 2x^1=2x)
4 0
2 months ago
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Kendra charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for th
Svet_ta [12734]
Let the quantity of driveways shoveled on Sunday be x

For 4 driveways, Kendra charges = 4*11=44

Thus,

143 = 44 + 11x

And this equation models the situation described.

By subtracting 44 from both sides,[​

143-44 = 11x

99 = 11x

Dividing both sides by 11 results in

x = 9

Thus, she shoveled 9 driveways on Sunday.

7 0
1 month ago
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A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
Leona [12618]

Answer How much of a 20% acid solution should be blended with 30 liters of a 50% acid solution in order to achieve a 40% solution.... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That totals 18 liters of pure acid, resulting in a final mixture of 45 liters which contains 0.45 pure acid=18 liters.

Step-by-step explanation:

6 0
1 month ago
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What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Zina [12379]
The inverse function is defined as h(x) = 4x + 48. To derive it from f(x) = 1/4x - 12, substitute y = f(x) and rearrange the equation to isolate x as shown, leading to h(x).
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1 month ago
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Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy
Leona [12618]

Answer:

Hello! Your question appears to be missing details; here is the complete version

Ix = 0   Ux = \sqrt{y-9z^2}

Iz = 0   Uz = \frac{\sqrt{y} }{3}

Iy = 5   Uy = 10

Step-by-step explanation:

Ix = 0   Ux = \sqrt{y-9z^2}

Iz = 0   Uz = \frac{\sqrt{y} }{3}

Iy = 5   Uy = 10

This provides a comprehensive solution below

4 0
2 months ago
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