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3 years ago

Will mark brainliest if given the right answer Solve the given system of equations. y = 8x + 6

Mathematics

1 answer:

Schach [20]3 years ago

8 0

Answer:

( $\frac{1}{4}$ , 8 )

Step-by-step explanation:

y = 8x + 6 → (1)

y = 32x → (2)

substitute y = 32x into (1)

32x = 8x + 6 ( subtract 8x from both sides )

24x = 6 ( divide both sides by 24 )

x = $\frac{6}{24}$ = $\frac{1}{4}$

substitute this value into either of the 2 equations and solve for y

substituting into (2)

y = 32 × $\frac{1}{4}$ = 8

solution is ( $\frac{1}{4}$ , 8 )

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The table shows the temperatures and wind-chill temperatures in four towns. What is the difference between the actual temperatur

diamong [38]

The difference between the temperatures and the wind chill temperatures is -15.

Add all the numbers together and divide by 4.

7 0

3 years ago

Please answer quickly attachment is under this little message

Dvinal [7]

Answer:

315 dm3

Step-by-step explanation:

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8 0

2 years ago

Solve the following system of equations: x − 2y = 6 2x − 4y = 10

Darya [45]

Easy One way to solve this system of equations would be by substitution. It would helpful to write these equation in the form y=mx + b in order to substitute one equation to the other. We do as follows:

1.) x - 2y = 6
y = x/2 -3

2.) 2x - 4y = 10
y = x/2 - 5/2

As we look at the rearranged equations, we see that their slopes are equal which means they are parallel lines so they do not intersect at one point. There is no solution for this system of equations.

3 0

3 years ago

Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

This is 4 questions.

jeka94

1) a. 15% decrease
2) a. $79.20
3) b. 14.3% increase
4) a. $4.68

#1 explanation:
1435 - 1220 = 215
215/1435 = 0.1498
0.1498 x 100 = 14.98 = 15%

#2 explanation:
220 x 0.6 = 132
220-132=88
88 x 0.1 = 8.8
88-8.8 = 79.2 $

#3 explanation:
32-28=4
4/28=0.1428
0.1428 x 100 = 14.28 = 14.3%

#4 explanation:
275 x 0.15 = 41.25
275-41.25 = 233.75
233.75 x 0.02 = 4.675 = 4.68 $

4 0

3 years ago

Read 2 more answers