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Gre4nikov [31]
3 years ago
5

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a

nd 9. Which equations represent the situation? A. x + y = 3 and x minus 3 y = negative 27 B. x + y = 3 and x minus 3 y = negative 9 C. x minus y = 3 and x minus 3 y = negative 27 D. x minus y = 3 and x minus 3 y = negative 9
Mathematics
2 answers:
Shalnov [3]3 years ago
4 0

Answer:

D. x - y = 3 and x - 3 y = - 9

Step-by-step explanation:

The descriptions above describe the equation of choice D, so I pick this answer.

professor190 [17]3 years ago
3 0

Answer:

D

Step-by-step explanation:

just took the test

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Answer:

12 Step-by-step explanation:

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on friday,718 peoole went to school play.on saturday,822 people went.about how many oeople saw the play altogether​
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3 years ago
Given that u =< 2,12 >, and z =< -7,5 >
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
Applying the Procedure
Verizon [17]

Answer:

15 Square Inches

Step-by-step explanation:

Volume of the cone=40 cubic inches

Height of the cone=8 Inches

<u>Step 1:</u> Applying the formula for the volume of a cone

Volume of a Cone=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height

<u>Step 2:</u> Substituting values for the variables

40=\frac{1}{3} X $Base Area X 8

<u>Step 3:</u> Simplifying the right side

40=\frac{8}{3} X $Base Area

<u>Step 4:</u> Multiplying by the reciprocal

40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\

<u>Therefore, Base Area of the Cone=15 Square Inches</u>

<u />

8 0
3 years ago
Consider the system of equations
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