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3 years ago

Find the LCM of (6x - 18) and (2x² - 6x)? Please explain as well I really need this answer.

1 answer:

3 0

The least common multiple can be found a couple of ways. For this, it is probably easiest to identify the unique factors of each expression.
(6x -18) = 6(x -3) = 2*3*(x -3)

(2x² -6x) = 2x(x -3)

Then the unique factors are 2, 3, x, (x -3). Their product is the LCM:
LCM = 6x(x -3) = 6x² -18x

_____
If one or more of the factors is raised to a power other than 1, use the highest power of that factor in the final product.

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I need some help:

dedylja [7]

The unit rate is another way of saying speed, so we divide the distance over the time. We can pick on any row

If we pick row 1, then, speed = distance/time = 90/2 = 45

Row 2 says the same thing: 135/3 = 45

So does row 3: 225/5 = 45

and so on

Because the speed is 45 mph, the unit rate is 45 miles in one hour. The term "unit" implies how much distance can be covered in one unit of time, in this case 1 hour.

You have the correct answer. Nice work.

6 0

2 years ago

Question2 of 25If ASTU AABC, which congruences are true by CPCTC? Check all that apply.

Marysya12 [62]

If triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

Let's understand what is the congruence of the triangle.

If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

CPCTC stands for corresponding parts of congruent triangles are congruent.

Let's check in the triangle STU and triangle ABC;

triangle STU ≅ triangle ABC

So,

∠S ≅ ∠A

∠T ≅ ∠B

∠U ≅ ∠C

segment ST ≅ Segment AB

segment TU ≅ Segment BC

segment SU ≅ Segment AC

Thus, if triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

To learn more about the congruence of the triangle visit:

brainly.com/question/19258025

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3 0

9 months ago

If the numbers -2.5, -1.6, -3 1/10, - 1/10, and -0.5 were graphed on a number line, which would appear farthest to the left?

Leona [35]

Turn the question around.
If all the numbers were positive: 2.5, 1.6, 3 1/10, 1/10, and 0.5, which would be farthest to the right?

The fact is that the negative numbers are a reflection of the positive numbers.
Since 3 1/10 would be farthest to the right with positive numbers, -3 1/10 will be farthest to the left with the negative numbers.

7 0

3 years ago

A card is randomly chosen from the cards in the image. Find the probability of choosing the cards with either Q or R on them.

Afina-wow [57]

The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.

Given that a card is randomly chosen from 8 cards shown in figure.

We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.

Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Number of cards=8

Number of repeated cards=0

Number of cards showing Q and R =1 each.

Probability of getting Q or R is P(X=Q)+P(X=R)

= 1/8+1/8

=2/8

=1/4

=0.25

Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.

Learn more about probability at brainly.com/question/24756209

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6 0

1 year ago

PLEASE HELP 20+ POINTS!! What is the cosine equation of the function shown?

noname [10]

Answer: $\bold{y=7\ \cos\bigg(x-\dfrac{\pi}{4}\bigg)-4}$

<u>Step-by-step explanation:</u>

y = A cos (Bx - C) + D

A (amplitude) = max - D
B = Period/2π ---> Period is the distance from max to next max
C = B · Phase Shift ---> Phase shift is distance from y-axis to max
D (vertical shift) = (max + min)/2

D = (max + min)/2 = (3 - 11)/3 = -4

A = max - D = 3 - (-4) = 7

Period = 9π/4 - π/4 = 8π/4 = 2π

B = Period/2π = 2π/2π = 1

Phase Shift = π/4 - 0 = π/4

C = B · Phase Shift = 1 · π/4 = π/4

Equation:

y = 7 cos (1·x - π/4) + (-4)

8 0

3 years ago