Ask question

Ask question

All categories

3 years ago

7

Solve using system of equations algebraically y=2x-3 x+y=18

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

<em>(7, 11)</em>

Step-by-step explanation:

y = 2x - 3 .... (1)

x + y = 18 .... (2)

(1) ----> (2)

x + 2x - 3 = 18 ⇒ <u><em>x = 7</em></u>

y = 2(7) - 3 ⇒ <u><em>y = 11</em></u>

<em>(7, 11)</em>

You might be interested in

Find the area of a rectangle 3yds by 4/7yds

jasenka [17]

$\text{We're trying to find the area of the rectangle}\\\\\text{We know the dimensions are 3 by 4/7}\\\\\text{The formula to find the area of a rectangle is length x width}\\\\\text{Solve for area:}\\\\3\cdot\frac{4}{7}\\\\\text{Multiply the 3 to the numerator}\\\\\frac{12}{7}\\\\\text{Since we can't simply it, we'll leave it as is}\\\\\boxed{\text{Answer:} \frac{12}{7}\,\,yd^2}$

5 0

3 years ago

Decrease £280 by 73%

bekas [8.4K]

280 x (1-0.73)
=280 x 0.37
= £103.60

£280 decreased by 73% is <span>£280 multiplied by 37%.

</span>If this answer has helped you, please make sure to leave a Thank You.

4 0

3 years ago

andreev551 [17]

Answer:

65

Step-by-step explanation:

40 + 5 × 5

40 + 25

65

<h3><em>Good</em><em> </em><em>Luck</em><em>!</em></h3>

Note: I also come from another country •-•

7 0

3 years ago

Read 2 more answers

Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!

yan [13]

Answer:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}$

Step-by-step explanation:

You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

$cos(2\theta)=1-2sin^2(\theta)$

so we will make that replacement, getting everything in terms of sin:

$sin(\theta)+1=1-2sin^2(\theta)$

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

$2sin^2(\theta)+sin(\theta)=0$

We can factor out the sin(theta), since it's common in both terms:

$sin(\theta)(2sin(\theta)+1)=0$

Because of the Zero Product Property, either

$sin(\theta)=0$ or

$2sin(\theta)+1=0$

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}$

The next equation needs to first be solved for sin(theta):

$2sin(\theta)+1=0$ so

$2sin(\theta)=-1$ and

$sin(\theta)=-\frac{1}{2}$

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

$\theta=\frac{2\pi}{3},\frac{4\pi}{3}$

7 0

3 years ago

Can anyone PLEASE HELP ME with this question i really need help

choli [55]

The missing angle is 49

7 0

3 years ago

Read 2 more answers