A friend asked Lara to help her divide 456.3 by 100. What should Lara tell her?

Step-by-step explanation:

multiplying expressions.

remember every term of one expression has to be multiplied with every term of the other expression, and the results are added up (while considering their individual signs, of course).

1.

(-3×3 + 2x - 4)(3x - 2)

(-9 + 2x - 4)(3x - 2)

(-13 + 2x)(3x - 2) = -13×3x + -13×-2 + 2x×3x + 2x×-2 =

= -39x + 26 + 6x² - 4x = 6x² - 43x + 26

2.

let's do the other multiplication and compare the result with the result of 1 :

(-13 + 2x)(2x - 3) = -13×2x + -13×-3 + 2x×2x + 2x×-3 =

= -26x + 39 + 4x² - 6x = 4x² - 32x + 39

no, this product is not the same as in 1.

Answer:

1) x=4-y-z

2) x=-12+4y-4z/3

3) x=-1+y+4z/2

Step-by-step explanation:

1) Subtract y+z from both sides.

x+y+z-(y+z)=4-(y+z)

Simplify

x=4-y-z

2) Subtract -4y+4z from both sides.

-4y+4z-(-4y+4z)=12-(-4y+4z)

Simplify

-3x=12+4y-4z

Divide both sides by -3

-3x/-3=12/-3+4y/-3-4z/-3

x=-12+4y-4z/3

3) Subtract -y-4z from both sides.

2x-y-4z-(-y-4z)=-1-(-y-4z)

Simplify

2x=-1+y+4z

Divide both sides by 2

2x/2=-1/2+y/2+4z/2

Simplify

x=-1+y+4z/2

Hope this helps! Pls give brainliest!

Answer:

C. y= -3x + 6

Step-by-step explanation:

line passes through +6 at the y axis

so it narrows it down to C and D

line passes through 2 at the x axis at 2,0

when line has x  = 2 then y should be 0

only choice left is C. y= -3x + 6

0 = -3(2) + 6

0 = 0

Answer:

The answer is the option A.

x=(5±)/4

Step-by-step explanation:

The quadratic formula has the following form for a quadratic equation ax²+bx+c:

x=(-b±))/(2a)

We apply the quadratic formula and we obtain:

x=(-(-5)±))/(2(2))

x=(-(-5)±))/(4)

x=(-(-5)±))/(4)

brainliest pls

The distance from the top of the Sunshine Skyway Bridge to the boat is 305.1 feet.

The values of all trigonometric functions dependent on the value of the ratio of sides of a right-angled triangle are known as trigonometric ratios. The trigonometric ratios of a right-angled triangle's sides with regard to any of its acute angles are known as that angle's trigonometric ratios.

The three sides of the right-angled triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios:

Sin θ =  Perpendicular/Hypotenuse

Cos θ = Base/Hypotenuse

Tan θ = Perpendicular/Base or Sin θ/Cos θ

Cot θ = Base/Perpendicular or 1/tan θ

Sec θ = Hypotenuse/Base or 1/cos θ

Cosec θ = Hypotenuse/Perpendicular or 1/sin θ

Let the tower be AB = 175 feet, with the top of the tower as A.

Let the top of the boat be C. We join BC to get a right-angled triangle ABC with ∠B = 90°.

We are told that from the top of the tower, Lexi sees a boat at an angle of depression of 35°, represented as ∠CAD. ∠ACB will be equal to this angle as they are alternate angles.

∴ ∠ACB = 35°.

Let the distance from the top of the boat to the top of the tower be feet, the distance CA, the hypotenuse of the triangle ABC.

∴ By trigonometry, we can say that:

sin 35° = AB/BC

or, 0.5736 = 175/x

or, x = 175/0.5736

or, x = 305.1

∴ The distance from the top of the Sunshine Skyway Bridge to the boat is 305.1 feet.

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Answer:

5x^2+2x-432

Step-by-step explanation:

15x^2+x-215×2+x−2

=15x^2+x-430+x−2

=15x^2+x+x-430-2

=15x^2+2x-432

The expression that represents the length of the sign is 5x - 2 feet.

The area of Rectangle is length times of width.

The area of a rectangle is given by the formula A = length × width.

A = L × W

The given expression, 15x^2 - x - 2, represents the area of the sign in square feet. So we can substitute this expression for A and solve for L:

A = L × W

15x² - x - 2 = L × (3x + 1)

L = (15x² - x - 2) / (3x + 1)

If the height of the sign is (3x+1) feet, then the length of the sign is given by the area divided by the height:

L = (15x² - x - 2) / (3x + 1)

Substituting (3x+1) for the height, we get:

L = (15x² - x - 2) / (3x + 1) = [(3x + 1) (5x - 2)] / (3x + 1) = 5x - 2

Therefore, the expression that represents the length of the sign is 5x - 2 feet.

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The area (in square feet) of the school sign can be represented by 15x2 − x − 2. a. Write an expression that represents the length of the sign. If the height of the sign is (3x+1) ft.

Answer:

It's EKF and HKI

Step-by-step explanation:

Vertical angles are basically vertically opposite angles. Little additional information; vertically opposite angle have equal magnitudes

Answer:The ratio of the new area to the old area is 1:4

Step-by-step explanation:

Using it's concept, it is found that the average rate of change of the function over the interval is of 0.

It is given by the change in the output divided by the change in the input.

In this problem, in the interval from x = -2 to x = 0, the input remains constant at - 1, hence:

[tex]r = \frac{-1 - (-1)}{0 - (-2)} = 0[/tex]

The average rate of change of the function over the interval is of 0.

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Answer:

True.

Step-by-step explanation:

It's True. if the graph of a system of two equations in two parallel lines, the system is consistent and dependant

Answer:

True

it is absolutely wright

Answer:

Step-by-step explanation:

Using the distance formula,

[tex]AB=\sqrt{(0-2)^{2}+(4-2)^{2}}=2\sqrt{2}\\AC=\sqrt{(0-(-2))^{2}+(4-(-1))^{2}}=\sqrt{29}\\BC=\sqrt{(2-(-2))^{2}+(2-(-1))^{2}}=5[/tex]

So the perimeter is [tex]5+2\sqrt{2}+\sqrt{29}[/tex]

Answer:

-20

Step-by-step explanation:

(-12) + (-8)

-12 - 8

-20

Answer:

2x+1

Step-by-step explanation:

area = 4x² + 4x + 1 = ( 2x + 1 )²

(Side of the square)² = area →

(Side of the square)² = ( 2x + 1 )² →

Side of the square = 2x + 1

Answer:

add the 2000

Step-by-step explanation:

8 is your x so meters is 5

Answer:

-4

Step-by-step explanation:

log (2) (1/16)

2^4=16

fraction is negative exponent

-4

Answer:

-4

Step-by-step explanation:

i took the test

Answer:c

Step-by-step explanation: function 2 y-intecept is -5(when r=0), fuction 1 y-intecept:

p=-3/2*r-5  (r=0 because we looking for y-intecept)

p=0-5=-5

Answer:

The functions have the same y-intercept

Step-by-step explanation:

y-intercept is when r = 0

Function 1:

[tex]p = -\dfrac32(0)-5=-5[/tex]

⇒ y-intercept is at -5

Function 2:

From inspection of table, when r = 0, p = -5

⇒ y-intercept is at -5

Therefore, the functions have the same y-intercept

Answer:

25%

Step-by-step explanation:

37/128

= 1/4

= 0.25

= 25%

Answer:

this is a tricky one, but the exact number is 28.9 percent i rounded it up

Step-by-step explanation:

hope this helps :)

Answer:

9.693 hope this helps!!!

Answer: C

Step-by-step explanation:[tex]A=\frac{1}{2}(2)(6+8)=14[/tex]

20

Step-by-step explanation:

Both angles are the same. They already gave us the total degree of the angle. All we have to do is subtract 60 from 40.

60-40=20

x=20

Answer:

-1

Step-by-step explanation:

the slope is negative one because 2--6/-7-1 which is 8/-8 which makes negative one.

Answer:

A) attached

B) 15/36 = 5/12

C) 21/36 = 7/12

D) 18/36 = 1/2

E) 32/36 = 8/9

Step-by-step explanation:

A probability distribution is a table showing all the possible values a discrete random variable can take, plus the probability that it'll take each value.

Let X be the score of a pair of fair six-sided dice

X can take the values 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12

Create a sample space (attached) to visually see the sums of different combinations and to help construct the probability distribution table (attached)

B) Reading from the table:

   P(X ≥ 8) = P(X=8) + P(X=9) + P(X=10) + P(X=11) + P(X=12)

                 = 5/36 + 4/36 + 3/36 + 2/36 + 1/36

                 = 15/36 = 5/12

C) Reading from the table:

   P(X ≤ 7) = P(X=7) + P(X=6) + P(X=5) + P(X=4) + P(X=3) + P(X=2)

                 = 6/36 + 5/36 + 4/36 + 3/36 + 2/36 + 1/36

                 = 21/36 = 7/12

D) Reading from the table:

   P(X is even) = P(X=2) + P(X=4) + P(X=6) + P(X=8) + P(X=10) + P(X=12)

                       = 1/36 + 3/36 + 5/36 + 5/36 + 3/36 + 1/36

                       = 18/36 = 1/2

E)  Reading from the table:

   P(3≤X≤10) = P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) +  

                       P(X=9) + P(X=10)

                    = 2/36 + 3/36 + 4/36 + 5/36 +6/36 + 5/36 + 4/36 + 3/36

                    = 32/36 = 8/9

The 19 plants have terminal flowers are tall, and have colored seeds.

It is given that in Mendel’s genetic experiments many characteristics of the plants were quantified, such as their height (tall or short), flower position (axial or terminal), and seed color (colored or white).

It is required to find the how many plants have terminal flowers are tall and have colored seeds,

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

We have a number of plants = 100

Number of the tall with axial flowers and colored plants = 35

Total number of white seeds plants = 25

Number of plants that is short = 4

Number of plants having terminal flowers = 6

Total number of short plants = 25

The number of have terminal flowers are tall and have colored seeds:

= 100 - 35 - 25 - (25 - 4)

= 19

Thus, the 19 plants have terminal flowers are tall, and have colored seeds.

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The width of the frame for the image is about 1.5 inches.

Area is the amount of space occupied by a two dimensional object or figure.

Let w represent the width of the frame, hence:

Length of image and frame = 7 + w + w = 2w + 7

Width of image and frame = 5 + w + w = 2w + 5

Area of width and frame = (2w + 7)(2w + 5)

80 = 4w² + 24w + 35

4w² + 24w - 45 = 0

w = 1.5 inches

The width of the frame for the image is about 1.5 inches.

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Step-by-step explanation:

Step 1: Divide 462 by 48 to get the number as a decimal. 462 / 48 = 9.62

Step 2: Multiply 9.62 by 100. 9.62 times 100 = 962.5. That's all there is to it!

Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 462 by 100 and then divide the result by 48, you will still come to 962.5!

Answer:

462 / 48 = 962.5%

Step-by-step explanation:

Step 1: Divide 462 by 48 to get the number as a decimal. 462 / 48 = 9.62

Step 2: Multiply 9.62 by 100. 9.62 times 100 = 962.5

( also tyou can reverse steps 1 and 2 and still come to the same solution. If you multiply 462 by 100 and then divide the result by 48, you will still come to 962.5%

Answer:

16%

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

I'm not sure about it