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3 years ago

Solve each system by elimination. 1) –3x – 6y= -3 5x + 5y=0

Mathematics

2 answers:

sveticcg [70]3 years ago

7 0

Answer: x=−1 and y=1.

Step-by-step explanation: −3x−6y=−3;5x+5y=0

5(−3x−6y=−3)

6(5x+5y=0)

−15x−30y=−15

30x+30y=0

15x /15 = −15 /15

x=−1

−3x−6y=−3

(−3)(−1)−6y=−3

−6y+3+−3=−3+−3

−6y /−6 = −6 /−6

y=1

x=−1 and y=1

dexar [7]3 years ago

6 0

Answer: look at the picture

Step-by-step explanation: Hope this help :D

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Find the area of this shape. Show work pls. Round to the nearest hundredth.

cricket20 [7]

Answer:

35 ft²

Step-by-step explanation:

The shape is a triangle and its area is given by the formula below:

Area of triangle= ½ ×base ×height

Do note that the height has to be the perpendicular height, which is 5 ft in this case.

Area of triangle

= ½(14)(5)

= 35 ft²

8 0

3 years ago

a 5 sided solid has the numbers 1,2,3,4, and 5. what is the probability of rolling two five-sided solids and getting a sum of ei

kipiarov [429]

So this is going to be alot of writing to show my thinking but ill bold the answer.

1,1
1,2
1,3
1,4
1,5

2,1
2,2
2,3
2,4
2,5

3,1
3,2
3,3
3,4
3,5

4,1
4,2
4,3
4,4
4,5

5,1
5,2
5,3
5,4
5,5

next ill mark all the ones that equal 4 or 8 when added together, with an x

1,1
1,2
x1,3
1,4
1,5

2,1
x2,2
2,3
2,4
2,5

x3,1
3,2
3,3
3,4
x3,5

4,1
4,2
4,3
x4,4
4,5

5,1
5,2
x5,3
5,4
5,5

that is 6 (that equal 4 or 8) out of 25

so your ratio would be 6:19

6 0

4 years ago

Is this statement true or false? point, line, and plane are undefined words in geometry.

Gnoma [55]

TRUE. Point has no dimension. Line has no thickness but extends in one direction and goes on forever. Plane has no thickness but extends in all directions forever.

6 0

3 years ago

Natasha is 5 years older than Alex. Fiona is 10 years younger

Sergio039 [100]

The answer fam is..........

Alex is 20

Fiona is 10

Natasha is 25

5 0

3 years ago

8TH GRADE GEOMETRY:100 POINTS+BRAINLIEST: Please answer the question and explain how you did it. Also, please tell me what a "ra

tatyana61 [14]

Answer:

Option B 1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

$V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h$ where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio. Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

$\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}$

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

$\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}$

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

$\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}$

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

7 0

2 years ago

Read 2 more answers