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3 years ago

5x + 3y = 27 and y = 2x – 2

Mathematics

1 answer:

icang [17]3 years ago

8 0

Answer: 48

Step-by-step explanation:

-10x+6y=54 then + it to each other

-6x-6y=-6

-16x=48

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All the blank answers

wlad13 [49]

the sum of inner angles of a pentagon is equal to

$n - 2 \times 180 = (5 - 2) \times 180 \\ 3 \times 180 = 540$

so:

$x + 10 + x + 20 + 2x + 10 \\ + x + 10 + 2x = 540 \\ 7x + 50 = 540 \\ 7x = 490 \\ x = 70$

and the largest one is 150

$2x + 10 = 2(70) + 10 = 150$

the answer is 1/16

$4 {}^{ - 2} = \frac{1}{4 {}^{2} } = \frac{1}{16}$

the parallel line can be

y=2x+4

or any line with different y intercept

good luck

5 0

4 years ago

L 5.2.3 Quiz: Two-Variable Systems: Substitution

Misha Larkins [42]

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

$y = 10x-9\\y = x + 18$

For substitution method we substitute the value of x or y from one equation to other.

Let:

$y = 10x-9--eq(1)\\y = x + 18--eq(2)$

Putting value of y from equation 2 into equation 1

$y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3$

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

$y=x+18\\x=y-18$

Now, putting value of x in equation 1

$y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21$

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

6 0

3 years ago

Choose exactly two that are correct

Ludmilka [50]

I think you definitely need technology and objects to represent the data

6 0

3 years ago

Equation editor does not include the grouping symbols “<“ and “>” that are necessary for writing a vector in component for

Scilla [17]

Answer:

{12,2}

Step-by-step explanation:

From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).

If initial point of a vector is $(x_1,y_1)$ and terminal point is $(x_2,y_2)$ , then

$\overrightarrow{v}=(x_2-x_1)i+(y_2-y_1)j$

Using this formula, we get

$\overrightarrow{v}=(7-(-5))i+(2-0)j$

$\overrightarrow{v}=12i+2j$

$\overrightarrow{v}=$

Using braces, we get

$\overrightarrow{v}=\{12,2\}$

Therefore, the required vector is {12,2}.

4 0

3 years ago

An aeroplane is flying due north but, to avoid a storm, it flies 150km

Nataly [62]

Answer:

1) angle ABC = 80°

angle ACB = 40°

2) extra distance traveled = 122 km

Step-by-step explanation:

From the image, angle p° will be equal to 60° (alternate angles).

Angle t° will be equal to (90 - 60) = 30°.

Angle r° = (320 - 270) = 50°

Therefore angle ABC = angle (r° + t°) = (50 + 30) = 80°

BCD is a right angle triangle, therefore, the two other angles apart from the right angle must sum up to 90°.

BCD = ACB = (90 - 50) = 40°

lenght of DB is calculated as

sin 60 = DB/150

0.866 = DB/150

DB = 0.866 X 150 = 129.9 km

AD^2 = 150^2 - 129.9^2 = 5625.99 km

AD = 75 km

Tan 50 = CD/129.9

1.192 =CD/129.9

CD = 129.9 X 1.192 = 154.84 km

BC^2 = 154.84^2 + 129.9^ = 40849.44

BC = 202.11 km

If the plane had flown due north it would have covered AD + CD = 75 + 154.84 = 229.84 km

The divertion took a total distance of AB + BC = 150 + 202.11 = 352.11 km

The extra distance is 352.11 - 229.84 = 122.27 km

Approximately 122 km

4 0

4 years ago