All categories

3 years ago

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

Mathematics

1 answer:

Nataly_w [17]3 years ago

3 0

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

You might be interested in

The growth of a group of bacteria is modeled by the function f(x) =10x. Identify the key features of the model.

Luden [163]

The Y INTERCEPT is x the range is 10

6 0

3 years ago

I don’t know how to solve this

Lady_Fox [76]

Answer:

$\theta =2\pi k,\ \ k\in Z\ \\\text{or}\ \\\theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z$

Step-by-step explanation:

Given:

$\cos \theta-\sqrt{3}\sin \theta=1$

Divide this equation by 2:

$\dfrac{1}{2}\cos \theta-\dfrac{\sqrt{3}}{2}\sin \theta=\dfrac{1}{2}$

Note that

$\cos \dfrac{\pi }{3}=\dfrac{1}{2}\\ \\\sin \dfrac{\pi }{3}=\dfrac{\sqrt{3}}{2}$

So, the previous equation is

$\cos \dfrac{\pi}{3}\cdot \cos \theta-\sin \dfrac{\pi}{3}\cdot \sin \theta=\dfrac{1}{2}$

Remind that

$\cos x\cos y-\sin x\sin y=\cos (x+y),$

then

$\cos \left(\dfrac{\pi}{3}+\theta\right)=\dfrac{1}{2}$

The solution of this equation is

$\dfrac{\pi}{3}+\theta=\pm \arccos \dfrac{1}{2}+2\pi k,\ \ k\in Z\\ \\\dfrac{\pi}{3}+\theta=\pm \dfrac{\pi}{3}+2\pi k,\ \ k\in Z\\ \\\theta =2\pi k,\ \ k\in Z\ \text{or}\ \theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z$

8 0

3 years ago

Solve equation<br> 24a-22=-4 (1-6a)

iren2701 [21]

$24a-22=-4(1-6a) \\
24a-22=-4+24a \\
24a-24a=-4+22 \\
0=18 \\
not \ true \\ \\
\boxed{\hbox{no solution}}$

7 0

4 years ago

What are the measures of the angles in triangle ABC?

VMariaS [17]

Complete question :

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

What are the measures of the angles in triangle ABC?

a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answer:

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Step-by-step explanation:

Given:

Length AC = 7 inches

Length BC = 24 inches

Length AB = 25 inches

Since it is a right angle triangle,

m∠C = 90°

To find the measures of the angle in ∠A and ∠B, we have :

For ∠A:

$SinA = \frac{BC}{AB}$

$SinA = \frac{24}{25}$

$SinA = 0.96$

$A = Sin^-^1 = 0.96$

∠A = 73.7°

For ∠B:

$SinB = \frac{AC}{AB}$

$SinB = \frac{7}{25}$

$SinB = 0.28$

$B = Sin^-^1 = 0.96$

∠B = 16.26 ≈ 16.3°

Therefore,

m∠A = 73.7°

m∠B = 16.3°

m∠C = 90°

7 0

3 years ago

Read 2 more answers

ESTIMATE 87.4 x 26.67

devlian [24]

2,330.96 would be rounded answer

6 0

3 years ago