Please with steps urgent

Given:

The expression is:

[tex]\dfrac{15m^2-3}{3m-1}[/tex]

To find:

The simplified value of the given expression.

Solution:

We have,

[tex]\dfrac{15m^2-3}{3m-1}[/tex]

On dividing, we get

[tex](3m-1)|\overline{15m^2+0m-3}|5m+\dfrac{5}{3}[/tex]

          [tex]-(15m^2-5m)[/tex]

              [tex]\overline{\quad \quad -5m-3}[/tex]

                    [tex]-(5m-\dfrac{5}{3})[/tex]

                       [tex]\overline{\quad \quad -\dfrac{4}{3}}[/tex]

Here, quotient is [tex]5m+\dfrac{5}{3}[/tex]  and the remainder is  [tex]-\dfrac{4}{3}[/tex].

Therefore, [tex]\dfrac{15m^2-3}{3m-1}=5m+\dfrac{5}{3}-\dfrac{4}{3(3m-1)}[/tex].

Answer:

279 in.²

Step-by-step explanation:

square: 9 × 9 = 81

the 4 congruent triangles: 9 × 11 ÷ 2 = 49.5, 49.5 × 4 = 198

square + 4 congruent triangles = 81 + 198 = 279

In a circle, the parts of the diagonals multiply to equal each other, so 6·4=2x.

2x = 24, x = 12.

Answer:

A, B, D, F

Step-by-step explanation:

i really hope this helps and is right :)

Answer:

Circumference = 17.4 cm

Step-by-step explanation:

A = π[tex]r^{2}[/tex]

24 = π[tex]r^{2}[/tex]

[tex]r^{2}[/tex] = 24/π

r = [tex]\sqrt{\frac{24}{\pi } }[/tex] = 2.7639...

d = 5.5279...

C = πd

   = π5.5279...

   = 17.4 cm

Answer:

1) False

2) True

3) a) True b) False

4) False

Step-by-step explanation:

1)

Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.

2)

A unit vector could be difinede as:

[tex]\vec{u}=\frac{\vec{v}}{|\vec{v}|}[/tex]

Terefore, [tex]\frac{1}{AB}\vec{AB}[/tex] is a unit vector. It is True.

3)    

a) If AB=-3AC

The points, A, B, and C are collinear, because all of them lie in the same line. True

b) Let's take the modulus in each side.

[tex]\vec{AB}=-3\vec{AC}[/tex]

[tex]|\vec{AB}|=|-3\vec{AC}|[/tex]

[tex]|\vec{AB}|=|-3||\vec{AC}|[/tex]

[tex]|\vec{AB}|=3|\vec{AC}|[/tex]

So it is False.

4)

If we put the vector AI = 3/2 AB into the first equation we will have:

[tex]2(-\frac{3}{2}\vec{AB})+3\vec{IB}=-3\vec{AB}+3\vec{IB}[/tex]

And we can not say that it is a cero vector, so it is False.

I hope it helps you!

Answer:

20.83 yard

Step-by-step explanation:

Calculate Cubic Yards

Calculate your area

Calculate your volume: Multiply area times the depth to get volume in cubic feet

Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer

Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard

Total yards = 5[x] + x + 8

Solve

133 = 6x + 8

6x = 125

x = 20.83 yard

Therefore, the Cyclone cleared 20.83 yards on the first day.

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

(3 x 4) x 4 = X

12 x 4 = X

48 = X

Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Answer:

96 ft is the perimeter of the figure.

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 9 + 12 + 30 = 96

Have a nice day!

Answer:

105

Step-by-step explanation:

9+9+9+9+9+9+30+21 = 105

HAVE A GREAT DAY SHAWTYYY

Answer:

Step-by-step explanation:

given

y = 19 - 2x

when x = 3 , y = 13

when x = 4 , y = 11

when x = 5 , y = 9

when x = 6 , y = 7

hope it helps :)

Answer:  Its B did the quiz lol

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since points B and G are both on the same horizontal line, the distance between them is just the horizontal distance between them which is the absolute value of the difference of their x-coordinates.

distance = |-3 - 1| = |-4| = 4

Answer: 4

x=100×15/75

x=1500/75

x=20% boys

Answer:

20%

Step-by-step explanation:

look at the formula I have used then you will understand good day

Answer:

y = 1.4x + 5.6

Step-by-step explanation:

plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)

thus, y = 1.4x + 5.6

Based on the calculations, the measure of angle m<SB rounded to the nearest tenth is equal to 0.70°.

In geometry, a tangent is also referred to as a tangent line and it can be defined as a straight line that touches a plane curve at a specific point.

Based on the diagram, we would apply the cosine function to determine the measure of the angle formed by the hypotenuse side of the triangle with respect to the radius of Earth (adjacent side):

m<SB = cos⁻¹(4000/4000 + 0.2) + cos⁻¹(4000/4000 + 0.01)

m<SB = cos⁻¹(4000/4000.2) + cos⁻¹(4000/4000.01)

m<SB = cos⁻¹(0.99995) + cos⁻¹(0.9999975)

m<SB = 0.573 + 0.128

m<SB = 0.701 ≈ 0.70°.

Read more on cosine function here: https://brainly.com/question/4515552

Answer: x = 0; x = 3

Step-by-step explanation:

x^2 - 3x = 0

1. x is a common factor, so factor it out

x(x - 3) = 0

2. set both factors equal to zero

x = 0

x - 3 = 0

3. final answer

x = 0

x = 3

Answer:

n must be greater than 5 for the product to be greater than 10.

Step-by-step explanation:

10 times 2/5 = 4 (no)

10 times 6/5 = 12 (yes)

10 times 5/5 = 10 (no)

Answer:

The 3rd one I believe

Step-by-step explanation:

Answer: x is equal to 9

Answer:

A, C, D

Step-by-step explanation:

Answer:

Height of toy model liberty statue = 3 feet (Approx.)

Step-by-step explanation:

Given:

Height of real liberty statue = 152 feet

Scale factor = 2:101

Find:

Height of toy model liberty statue

Computation:

Scale factor = 2:101

1 feet toy model = 101 / 2 = 50.5 feet

Height of toy model liberty statue = Height of real liberty statue / Scale factor

Height of toy model liberty statue = 152 / 50.5

Height of toy model liberty statue = 3 feet (Approx.)

Answer:

yes it relates to a function

Answer:

I believe that X is 40, as 47 + 273 is 320, and if you subtract 320 from 360, you get 40

Step-by-step explanation:

Answer:

c=-2 and m=3

this is because the y intercept of the line given is -2 and if you find the slope is 3/1 or simplified to 3

Answer: infinitely many

Step-by-step explanation:

They are essentially the same line (the terms rearranging in the equation doesn't make a difference). Since the intersection point between lines is the solution to the system, they have infinitely many.

Answer:

e = 31

Step-by-step explanation:

The triangle on the left has 2 congruent sides , so is isosceles with 2 congruent base angles of size

[tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62

Then the interior angle of the triangle on the right is

180° - 62° = 118°

The triangle on the right is also isosceles with 2 congruent base angles, then

e = [tex]\frac{180-118}{2}[/tex] = [tex]\frac{62}{2}[/tex] = 31

Answer:

The slope is -4.

Step-by-step explanation:

The formula to find slope is y2 - y1 / x2 - x1

Step 1: 9-1 / 6 - 8

Step 2: 8/-2

Step 3: Simplify: The slope is -4

Hope this helps!

Answer:

y=69420

Step-by-step explanation:

f=42×0=420

b=6+9=69

i=91÷1=911