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2 years ago

Solve the absolute value equation: |3x+3|=10

Mathematics

2 answers:

yarga [219]2 years ago

8 0

Answer:

x = 2.33

Step-by-step explanation:

We know that when there is an absolute value sign, the value inside the bars is always positive.

=> I3x + 3I = 10
=> 3x + 3 = 10
=> 3x = 10 - 3
=> 3x = 7
=> x = 7/3
=> x = 2.33 (Rounded to nearest hundredth)

Hence, the value of x is 2.33.

IgorC [24]2 years ago

3 0

Answer:

Exact Form:

x=7/3, −13/ 3

Decimal Form:

x=2.3333, 4.3333

Mixed Number Form:

x=2 1/3, −4 1/3

Step-by-step explanation:

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Sergeeva-Olga [200]

Answer:

$\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1$

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

$\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b$

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

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Therefore the equation of the ellipse is:

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3 years ago

L<br> An 8.5 quart jug contains how many cups?

pav-90 [236]

Answer:

34 cups

Step-by-step explanation:

just multiply the value in quarts by the conversion factor 4. So, 8.5 quarts times 4 is equal to 34 cups

3 0

2 years ago

Please help!

vlada-n [284]

Answer:

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2 years ago

Will had 64 baseball cards in his collection. He then got 8 more cards. He keeps the cards in a binder. Each page in the binder

WITCHER [35]

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Step-by-step explanation:

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3 years ago

Which is equivalent to the following expression? (2x^2+4xy-y^2)+(x^2+3xy-y^2)

Karo-lina-s [1.5K]

Answer C : 3x^2+7xy-2y^2

equivalent to the following expression

$(2x^2+4xy-y^2)+(x^2+3xy-y^2)$

$2x^2+4xy-y^2+x^2+3xy-y^2$

Combine like terms

$2x^2+x^2+4xy+3xy-y^2-y^2$

2x^2 + x^2 is 3x^2

4xy+3xy is 7xy

-y^2-y^2 is -2y^2

So expression becomes

$3x^2+7xy-2y^2$

Answer C is correct

3 0

3 years ago

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