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2 years ago

For what values of a can you solve the linear system ax+3y=2 and 4x+5y=6 by elimination without multiplying first?

Mathematics

1 answer:

coldgirl [10]2 years ago

5 0

Answer:

a=-4

Step-by-step explanation:

$ax+3y=2$ and $4x+5y=6$

In elimination method we try to eliminate one variable

To eliminate one variable we need to make the coefficients same with different sign

to eliminate the variable x we need to make the number before x same and with different sign

In the second equation the coefficient of x is 4

so the value of 'a' should be -4 to eliminate

a=-4

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Geometry, Need help with this question

ExtremeBDS [4]

Answer:

AAS

Step-by-step explanation:

First, write down the given.

1. ∠V≅∠Y - Given

Since line WZ bisects ∠YWZ, which in other words splits it in half, that means that

2. ∠VWZ ≅ ∠YWZ - angle bisector

3. WZ ≅ ZW - reflexive property

Making the theorem AAS

4 0

2 years ago

Which is the answer for -1/3y + 4 = 3

N76 [4]

2/1

Step-by-step explanation:

_1/3y=_1

y=_1+3/1

y=2/1

4 0

3 years ago

What is a perfect square 6, 10, 12, 14

vaieri [72.5K]

Answer:

None of the numbers are Perfect Square.

Step-by-step explanation:

6, 10, 12, and 14 are not <u>Perfect Square</u>, because each number are multiplied by two different numbers:

$6 = 3 \times 2$

$10 = 5\times 2$

$12 = 6\times 2$

$14 = 7 \times 2$

6 0

3 years ago

Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t

MAXImum [283]

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

8 0

2 years ago

Would someone please help me?!

ella [17]

So
bowl is a half sphere
cylinder is a cylninder
cone is cone

bowl:
area of circle=4/3 pi times r^3
half bowl=4/3 times 1/2 times pi times r^3=2/3pi r^3

cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3

cone=1/3 times height times pi times radius^2
thgis cone=1/3 times r tiimes pi times r^2=1/3 times pi times r^3

compare
bowl=2/3 pi r^3
cylinder=pi r^3
cone=1/3 pi r^3
the cylinder is biggest
CYLINDER IS THE ANSWER

2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3

cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi

cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi

sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3

7 0

3 years ago

Read 2 more answers