1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luden [163]
3 years ago
6

Is there anyone can help me with these problems?

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

Solution is (-3, 0).  Lincoln.

Step-by-step explanation:

a. Lincoln's method: His an error was on the third line.

When distributing the 5 over the parentheses he did not multiply the -y by the 5.

He wrote -y while it should be -5y.

Claire's method: Mistake on line 3. She incorrectly distributed the negative  over ( -3 - x) . Correct is 3 + x not 3 - x.

b. The correct solution is (-3, 0) which Lincoln got, just by luck, because if we substitute these values into the 2 equations they fit:

5(-3) - 0 = -15.

-3 + 0 = -3.

You might be interested in
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
Four times a number
BlackZzzverrR [31]
Four times a number would equal 4n
6 0
3 years ago
Read 2 more answers
Verifying Trig Functions
anzhelika [568]

Answer:

The answer to your question is below

Step-by-step explanation:

                csc α - cot α = \frac{sin \alpha }{1 + cos \alpha }

Work with the left part

                \frac{1}{sin\alpha } - \frac{cos \alpha }{sin \alpha}

Simplify

                \frac{1 - cos\alpha }{sin\alpha }

Multiply by the reciprocal

 \frac{1 - cos\alpha }{sin \alpha } x \frac{1 + cos\alpha }{1 + cos\alpha }                                  

Simplify

\frac{1 - cos^{2}\alpha}{sin\alpha (1 + cos\alpha)}

Remember that

                 sin²α = 1 -cos²α

Substitute the previous equation

\frac{sin^{2}\alpha }{sin\alpha(1 + cos\alpha ) }

Simplify

\frac{sin\alpha}{1 + cos \alpha}      

The identity i proved.            

5 0
3 years ago
What are the equivalent fractions with a common denominator for 2/5 and 1/2?
Svetlanka [38]
So 1/2 is 5/10       and 2/5 is 4/10      common denonominator is 10 ( i think )
4 0
2 years ago
Read 2 more answers
A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?
GarryVolchara [31]

Answer:1696.46

Step-by-step explanation:

V = π r 2 h

8 0
2 years ago
Other questions:
  • How many times does 13 go into 1,400?
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=7%20%5Ctimes%203" id="TexFormula1" title="7 \times 3" alt="7 \times 3" align="absmiddle" class
    15·1 answer
  • 5a - 3a + 2a simplify expression
    15·2 answers
  • 16. Math and Science old Faithful may be the most famous geyser in Yellowstone National Park. A 2-minute eruption is typically f
    11·1 answer
  • Complete this quiz to finish the assignment for 3A - Geometry Pap due on Mar 23, 2021
    8·1 answer
  • A frame contains 4 pounds of gold. Suppose gold is worth $1,277 per ounce. How much would the gold in the crown be worth? $5,108
    9·1 answer
  • If 1/81 of roll of wire makes one hook. How much rolls of wire is used if 351 hooks are made
    13·1 answer
  • (07.04 MC)
    13·1 answer
  • 5.6 x 5.6 x 6.16 x 6.16
    13·1 answer
  • What the value of 5'3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!