All categories

2 years ago

What is the apparent solution to the system of equations? y=1/2x+2 y=2x−1

Mathematics

1 answer:

Sever21 [200]2 years ago

8 0

X = 2
y = 3

You can simply set these two equal to each other and solve for x. Then plug in to find y.

You might be interested in

The surface area of a cone with radius r units and slant height s units is shown below:

Diano4ka-milaya [45]

Step-by-step explanation:

part A:

$Area_{_{surface}}=3.14*(3*5+3^2);$

part B:

$Area_{_{surface}}=3.14*(15+9)=3.14*24=75.36[units^2].$

7 0

1 year ago

Another one please help

n200080 [17]

-- The area of the long skinny piece on top is (6 x 33) = 198

-- The length of the dotted line between the top and bottom pieces is (33-21) = 12

-- The area of the bottom piece is (12 x 15) = 180

-- The area of the whole thing is (198 + 180) = 378

-- The perimeter of the whole thing is (33 + 6 + 21 + 15 + 12 + 15 + 6) = 108

6 0

3 years ago

7/3(x+9/28) what is the answer

natulia [17]

Answer:

x= - 9/28 ± √60/7

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

I NEED HELP PLEASE! :)<br> thanks!

BigorU [14]

Add all the chips to find the total amount.

7 + 9 + 3 + 6 = 25 chips

Since there are 6 blue chips (6/25), that's the probability of just getting once.

When you pick a blue chip and it doesn't get replaced, then that means there is one fewer blue chip and one fewer from the total amount.

5/24

Multiply both probabilities.

6/25 * 5/24 = 30/600

Simplify.

30/600 → 1/20

Therefore, the answer is B

Best of Luck!

7 0

2 years ago