Please help! I need help

I’m confused can someone get me the answer

siniylev [52]

Angle OPM and Angle LMK

When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.

Let me know if you don't understand my explanation.
-T.B.

4 0

3 years ago

Point P'P

Snowcat [4.5K]

Given:

The point P' is the image of the point P under the translation $(x,y) \implies (x-6, y-1)$

The coordinates of the point P are (6,0)

We need to determine the coordinates of the point P'

Coordinates of the point P':

The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.

Thus, substituting the coordinates, we have;

$(6,0)\implies (6-6,0-1)$

Simplifying the coordinates, we get;

$(6,0)\implies (0,-1)$

Thus, the coordinates of the point P' is (0,-1)

5 0

3 years ago

What is three ways to express 3^5 as a product of powers

schepotkina [342]

Three ways to express it as a product of powers are:

3x3x3x3x3

3^5

243

Hope I helped!

Good Luck!

3 0

3 years ago

Find the amount accumulated after investing a principle P for T years at an interest rate compounded k times per year.

BartSMP [9]

1. $3500(1+ \frac{.05}{4}) ^{4*10}$
$3500(1+.0125) ^{40}$
3500(1.64) = 5740

2. $25300(1+ \frac{.045}{12} ) ^{12*25}$
$25300(1+.00375) ^{300}$
25300(3.07) = 77671

Hope that helps. Feel free to ask any questions

8 0

3 years ago

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago