Solve the simultaneous equations. 3x-y=1, 2x + 5y = 41

I really don't get what the top box is asking me what to do

Kay [80]

Answer:

See below

Step-by-step explanation:

The circle has a circumference:

C = 2πr

This the is arc of full length θ = 360°

Each degree of arc length is:

s = 2πr*θ / 360 = πrθ / 180

We have:

r = 6 in and θ = 25°

The arc length is:

s = π*6*25/180 = (5/6)π inches terms of π

The same arc is:

s = (5/6)*3.14 = 2.62 inches (rounded)

3 0

2 years ago

Help me pleasseeeee!!! its about algebraic properties of limits!

s2008m [1.1K]

$\text{Hello there! :)}$

$3. \sqrt{2} \\\\\text{4. 0}\\\\\text{5. dne}$

$\text{To find the overall limit, they must approach the same y-value from each side:}$

$\\\\3. \lim_{x \to \frac{\pi }{4} } 2sinx ={\sqrt{2}$

$\text{Therefore:}\\\\3. \lim_{x \to \frac{\pi }{4} } f(x)= {\sqrt{2} }$

$\text{For this question, evaluate the limit from the RIGHT-HAND side:}\\\\4. \lim_{x \to \pi +} f(x)\\\\ \text{Use the equation tanx to evaluate since it involves values greater than \pi:}\\\\$

$\lim_{x \to \pi +} tanx = 0\\\\\text{So:}\\\\ \lim_{x \to \pi +} f(x) = 0$

$5. \\\\\text{Evaluate the overall limit. Make sure both sides approach the same y=value:}\\\\ \lim_{x \to \pi } 2cosx= -2\\\\ \lim_{x \to \pi } tanx = 0\\\\ \text{ Therefore:}\\ \lim_{x \to \pi } f(x) = dne \text{ (Does not exist})$

5 0

2 years ago

An object is launched from a platform. Its height (in meters), xxx seconds after the launch, is modeled by: h(x)=-5x^2+20x+60h(x

EastWind [94]

It takes 6 seconds for it to hit the ground.

0 = -5x²+20x+60

We can solve this by factoring. First factor out the GCF, -5:

0 = -5(x²-4x-12)

Now we want factors of -12 that sum to -4. -6(2) = -12 an -6+2 = -4:
0 = -5(x-6)(x+2)

Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2. Since we cannot have negative time, x=6.

3 0

3 years ago

Read 2 more answers

The chemical element einsteinium-

AURORKA [14]

Answer:

Every week, the mass of the sample is multiplied by a factor of 0.81

Step-by-step explanation:

Let's rewrite the base and find the expression whose exponent is just ttt.

(0.97)7t+5=(0.97)7t⋅(0.97)5=(0.977)t⋅(0.97)5

Therefore, we can rewrite the modeling function as follows.

M(t)=(0.97)5⋅(0.977)t

According to this model, the mass of the sample is multiplied by 0.977 every week. Rounding this to two decimal places, we get 0.977≈0.81.

7 0

2 years ago

Explain the effect of c on the graph of y=f(x) for the function y=f(x)+c ?

omeli [17]

Answer:

Shifts it up c units.

Step-by-step explanation:

The '+ c' will move the whole graph upwards c units.

4 0

2 years ago

Read 2 more answers

Solve the simultaneous equations.3x-y=1, 2x + 5y = 41​

Solve the simultaneous equations.3x-y=1, 2x + 5y = 41