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
Paladinen [302]
4 years ago
8

Consider the following pair of equations:

Mathematics
1 answer:
vovikov84 [41]4 years ago
5 0

Answer:

(-2,2)

Step-by-step explanation:

To solve the system, set the equations equal and solve for x.

x + 4 = -2x - 2

3x + 4 = -2

3x = -6

x = -2

Substitute x = -2 into one of the equations.

y = -2 + 4

y = 2

The solution is (-2,2).

You might be interested in
A box contains 2 red crayons, 6 blue
Andreyy89

Answer:

yellow 9/25

yellow and green is 14/25

8 0
3 years ago
C=5p+215 for p help me plz
Reika [66]

Answer:

-25

Step-by-step explanation:

C=5p+125

-125=5p

-125/5=p

-25=p

Therefore, p= -25

4 0
3 years ago
Calc help pretty please
Gre4nikov [31]

Answer:

A.  77.4

Step-by-step explanation:

<u>Linear approximation formula</u>

L(x)=f(a)+f'(a)(x-a)

Given function:

f(x)=(x+1)^2

\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If  $y=f(u)$  and  $u=g(x)$  then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}

\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If  $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}

\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If  $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}

Use the chain rule to differentiate the function.

\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)

Differentiate the two parts separately:

  y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u

  u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1

Put everything back into the chain rule formula:

\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}

\textsf{Therefore, }\:f'(x)=2x+2..

The <u>linear approximation</u> at a = 8 is:

\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}

Finally, substitute x = 7.8 into the <u>linear approximation equation</u>:

\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}

4 0
2 years ago
Read 2 more answers
What is the area of the composite figure whose vertices have the following coordinates?
Fofino [41]

Answer:

60 square units

Step-by-step explanation:

We can use Pythagoras to solve this as appropriately projecting lines from any point will form a triangle. The vertical and horizontal lengths of which can be read of from the axis.

The distance between two points is  √ ( x 1 − x 2 ) 2 + ( y 1 − y 2 ) 2

Let the distance between two points be  

d i

Distance between points A and B

d 1 = √ [ 3 − ( − 3 ) ] 2 + [ 7 − 5 ] 2 d 1 = √   36 + 4 = √ 2 2 × 10 = 2 √ 10

Distance between points B and C

d2 = √ [ 6 − 3 ] 2 + [ 7 − ( − 2 ) ] 2 d 2 = √ 9+ 81 = √ 3 2 × 10 = 3 √ 10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Area  = d 1 × d 2 = 2 √ 10 × 3 √ 10 = 60

YW :>

8 0
3 years ago
Read 2 more answers
Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9. what is the sum of these three numbers
Ksju [112]
The answer would be 1134
6 0
3 years ago
Other questions:
  • Madison's skateboard cost 10% more than Tony's skateboard .Madison's skateboard cost $83.
    8·2 answers
  • Whats the answer? 30 pts
    11·1 answer
  • What is 3.25 divided by 5
    8·1 answer
  • Find the following standard normal probability: p(-1.23 szs +1.23) OA..7814 B. .8907 O C..1093 D. .2186
    14·1 answer
  • Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo
    14·2 answers
  • Find the area of the sector.
    11·1 answer
  • Solve for x using the<br> distributive property.<br> 3(-3 - 3x) = 27
    7·2 answers
  • PLS ANSWERR!! I need help
    7·1 answer
  • Now solve in simplest terms: 4/5+4/5<br> please help no links or files
    9·1 answer
  • The diameter of Circle terminates on the circumference of the circle at​ (3,0) and (3,−7).. Write the equation of the circle in
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!