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3 years ago

For any integers x and y ,|x+y|=|x|+|y| Ture or False

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Answer:

yes because |x+y|=|x|+|y| is just the same equation just splitting the numbers

They both are the same absolute value equation

Step-by-step explanation:

|x+y|=|x|+|y|

x+y=|x|+|y|

x+y=x+y

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Please can someone help me with this question.

saw5 [17]

Answer:

Step-by-step explanation:

8 0

2 years ago

Solve for s -24-6s=-42

erastovalidia [21]

Answer

S=3

Step-by-step explanation:

add 24 to both sides, then you subtract -42+24 take sign of the larges which is negative and youll get -6s=-18 divide -6 to both sides and you will get S=3

7 0

3 years ago

An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base

kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

6 0

2 years ago

Please help with geometry. 20 points, and another question worth 98 on my profile!

vovikov84 [41]

Answer:

Part 1) m∠1 =(1/2)[arc SP+arc QR]

Part 2) $PR^{2} =PS*PT$

Part 3) PQ=PR

Part 4) m∠QPT=(1/2)[arc QT-arc QS]

Step-by-step explanation:

Part 1)

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

we have

m∠1 -----> is the inner angle

The arcs that comprise it and its opposite are arc SP and arc QR

m∠1 =(1/2)[arc SP+arc QR]

Part 2)

we know that

The Intersecting Secant-Tangent Theorem, states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

In this problem we have that

$PR^{2} =PS*PT$

Part 3)

we know that

The Tangent-Tangent Theorem states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments

In this problem

PQ=PR

Part 4)

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In this problem

m∠QPT -----> is the outer angle

The arcs that it encompasses are arc QT and arc QS

therefore

m∠QPT=(1/2)[arc QT-arc QS]

4 0

2 years ago

Which word phrase could represent the algebraic expression 2p + 3 where p represents Sam's age?

s344n2d4d5 [400]

Answer:

1. 3 + 4x

2. 8/ x-y

3. X/2y

4. Four times a number m

5 let m represent months

30 + 12m

4 0

3 years ago