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4 years ago

Please give answer fast its urgent

Mathematics

2 answers:

Anna71 [15]4 years ago

8 0

Answer:

$2^{5}$ × 2

Step-by-step explanation:

Using the rule of exponents

$(a^m)^{n}$ = $a^{mn}$

Given

$(2^-2)^{-3}$

= $2^{-2(-3)}$

= $2^{6}$

= $2^{5}$ × 2

yaroslaw [1]4 years ago

8 0

Answer:

2⁵ₓ 2

Step-by-step explanation:

(2⁻²)⁻³ =

= 2⁻²ˣ⁻³

= 2⁶

= 2⁵ₓ 2

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"Find the point at which the line touches the circle" I really need help no one helped last time...

Troyanec [42]

The solution for a system of equations will be when the graphs touch each other, or intersect, and that happens when both equations equate each other, so, let's do so,

$\bf \begin{cases}
\boxed{y}=3x+10\\
-------\\
x^2+y^2=10\\
y^2=10-x^2\\
y=\sqrt{10-x^2}
\end{cases}\qquad \qquad \boxed{3x+10}=\sqrt{10-x^2}
\\\\\\
\textit{now we square both sides}\qquad (3x+10)^2=(\sqrt{10-x^2})^2
\\\\\\
(3x+10)^2=10-x^2\implies 9x^2+60x+100=10-x^2
\\\\\\
10x^2+60x-90=0\implies x^2+6x-9=0\implies (x+3)(x+3)=0
\\\\\\
x=
\begin{cases}
-3\\
-3
\end{cases}\qquad thus\qquad \boxed{x=-3}$

$\bf -------------------------------\\\\
\textit{now, when x = -3, what is \underline{y}?}\qquad y=3x+10\implies y=3(-3)+10
\\\\\\
y=-9+10\implies \boxed{y=1}\qquad \qquad therefore\qquad (\stackrel{x}{-3}~,~\stackrel{y}{1})$

6 0

3 years ago

Solve 5x + 4/y =7 and 4x + x/y =5 simultaneously.

Nuetrik [128]

9514 1404 393

Answer:

(x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second.

5x +4/y = 7

4/y = 7 -5x

4/(7 -5x) = y

Then the second equation becomes ...

4x +x/(4/(7 -5x)) = 5

4x +x(7 -5x)/4 = 5

16x +7x -5x^2 = 20 . . . . . multiply by 4

5x^2 -23x +20 = 0 . . . . . put in standard form

We can use the quadratic formula to solve this.

x = (23±√((-23)² -4(5)(20)))/(2(5)) = (23±√129)/10

x = 2.3 ±√1.29 ≈ {1.1642, 3.4358}

y = 4/(7 -5x) = {3.3930, -0.39297}

Solutions are (x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297).

5 0

4 years ago

-7/4=2/5t what1 it the value of t

harkovskaia [24]

Check the attached answer.

8 0

4 years ago

If the measure of xyz is 73 what is the measure of xy <br> a.146<br> b.73<br> c.36.5<br> d.107

icang [17]

146. They are asking for the angle XY, the blue line.

For instance, imagine it is 90 deg, instead of 73, it would cut the circle in two, and XY would be 180 deg. Imagine it would be 45 degrees, it would leave a quadrant, and that's 90 deg.

So the angle * 2 (they are different angles)

I think 'TheBestBrain' thought they were asking for the supplementary angle, but I think it is the arc length angle (blue line)

5 0

4 years ago

Read 2 more answers

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

4 years ago