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3 years ago

What is the x-coordinate of the solution of the following system of equations?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

The easiest way to solve this is by elimination.

3x - y = 6

6x + y = 21

Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:

9x = 27

Then solving for x leaves you with x = 3

Then you take the x value of three and plug it into to either of the equations, so

3(3) - y = 6

9 - y = 6

subtracting 9

-y = -3

then dividing by -1

y = 3

so the solution is x = 3 y = 3 or (3,3)

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Hey guys please help find the area

V125BC [204]

Answer:

70.15 ft²

Step-by-step explanation:

The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).

If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.

The formula for the area of a triangle is (1/2)(base)(height). Remembering to multiply this by 2, we get

area of figure = (base)(height)

√3

= (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²

4 0

3 years ago

A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e

iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), $y=\frac{3x}{2}$

From (3), $z=\frac{5x}{4}$

Substituting the above in (1), we get,

$x+\frac{3x}{2} +\frac{5x}{4} =570$

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = $\frac{3(152)}{2}$

y = 228

z = $\frac{5(152)}{4}$

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Check:

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5

8 0

3 years ago

20 yd . 12 yd square yards Submit

kicyunya [14]

Answer:

140yd2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The present ages f Nick and David are in the ratio 5:7. After four years the ratio of their ages will be 3: 4 . find their prese

GrogVix [38]

Answer: nike is 20 year david is 28 year

Step-by-step explanation:

7 0

3 years ago

Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.

Scilla [17]

Answer:

16 degrees

Step-by-step explanation:

The question is

Find the measure of angle R

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

$m\angle N+m\angle R=109^o$

we have

$m\angle N=93^o$

substitute

$93^o+m\angle R=109^o$

$m\angle R=109^o-93^o=16^o$

7 0

3 years ago