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Answer:

Larger number = 21.5

Step-by-step explanation:

One number = x

Larger number = x + 2

x + x +2 = 41

2x + 2 = 41

       2x = 41 - 2

       2x = 39

         x = 39/2

         x = 19.5

Larger number = x + 2

                        = 19.5 +2

                        = 21.5

Answer:

C

Step-by-step explanation:

18's factors are 2 * 3 * 3

The two 3s can reduce the result further. sqrt (2 * 3 * 3)

square root 18 = 3*sqrt(2)

There are two sides with this length. Their total is 3sqrt(2) + 3sqrt(2) = 6√2

The perimeter is the sum of all three sides = 6 + 6√2

Answer:

distributive proper

Step-by-step explanation:

mulitiply

Answer:

1,566,630

Step-by-step explanation:

1854*845=1,566,630

Answer:

(-1, 4)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

c

Step-by-step explanation:

beacuse if you multiply all

Answer:

C

Step-by-step explanation :

The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same

Answer:b

Step-by-step explanation: you take the c of

The correct proportion that can be used to find x is 8 / 24 = 12 / x

The corresponding sides of the figures are taken into consideration.

The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as

The other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as

The ratio must be equal to each other to prove the similarity . Therefore,

The correct proportion that can be used to find x is 12 / x = 8 / 24

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Answer:

$330

Step-by-step explanation:

The Value of interest will she par is,

⇒ $ 330

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Now,

According to the table;

For a time of 12 months and at a rate of 15%,

The interest per $100 is, $15.

Therefore, for a principal of $2200 the interest will be;

⇒ $ (2200/100) × 15

⇒ $ 330

Thus, Value of interest will she par is,

⇒ $ 330

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Answer:

It is 21/10 or 2.1 inches longer

Step-by-step explanation:

2 1/2 - 2/5

= 5/2-2/5

25/10-4/10= 21/10

It is 21/10 or 2.1 inches longer

Answer:

hi

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

8x - 5x + 4 - x = Ax + 8             -------   start by combining the on the left

(8x - 5x - x) + 4 = Ax + 8           -------   solve

2x + 4 = Ax + 8       ------    A has to be the same # as the variable on th left side

2x + 4 = 2x + 8       -------   now subtract 2x from both sides

4 = 8

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest

Answer:

The the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Step-by-step explanation:

Given

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here:

substituting the values m = -2 and the point (4, 3) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3 = -2 (x-4)[/tex]

Thus, the the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

[tex]y-3 = -2 (x-4)[/tex]

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

Answer:

3Y=x-24

Y=1\3x-8

Step-by-step explanation:

Any equation that has a slope equals to 1\3

Answer: y=2x+4

You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

Answer:

Translation

Step-by-step explanation:

Translation is when something moves or slide. Orientation refers to the way it is facing or turned.

The required given statement is Reflections is transformations always preserve the orientation of a figure.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given statement is which transformations always preserve the orientation of a figure.

According to given question we have

Reflection is a type of transformation in which the given image is flipped across a line of reflection to create the transformed image. In this transformation, dimensions of the figure is always preserved.

In a translation, the preimage and image have the same orientation. In a rotation, the orientation of the preimage is changed. Both are rigid transformations.

Therefore, the required given statement is Reflections is transformations always preserve the orientation of a figure.

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Answer:

D: - 64

Step-by-step explanation:

you replace x with 2. 4 to the second power is 16 and then you multiply by -4

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

Answer:

Step-by-step explanation:

First, let's find the equation of the line.

Use points (0, -2) and (1, 2) on the graph.

The y-intercept is (0, -2), find the slope:

The line is:

Now, we see the line is dotted and the space to the left side is shaded.

Dotted line means the inequality doesn't include the points on the line, therefore the sign would be > or <.

Since the left side of the line includes greater values of the function, it should have > sign.

So the inequality is:

Answer:

Step-by-step explanation:

If you plot the vertex and the directrix, you'll see that the directrix is a horizontal line above the vertex. That means that the parabola opens upside down and has the standard equation:

[tex](x-h)^2=-4p(y-k)[/tex] where h and k are the coordinates of the vertex and p is the number of units between the directrix and the vertex. From the vertex we determine that h = 6 and k = 2. And by counting, we determine that p = 2. Filling in the equation then gives us:

[tex](x-6)^2=-4(2)(y-2)[/tex] and simplifying just a tiny bit will get us what we need:

[tex](x-6)^2=-8(y-2)[/tex] which is the second choice down.

The equation of this parabola in standard form is (x - 6)²  = -8(y - 2) if the vertex of a parabola is (6,2) option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The vertex of a parabola is (6,2), and the equation of its directrix is y = 4.

The standard form of the parabola:

y = a(x - h)² + k

y = a(x - 6)² + 2

As the directrix is y = 4

The equation of the parabola becomes:

(x - 6)²  = -8(y - 2)

Thus, the equation of this parabola in standard form is (x - 6)²  = -8(y - 2) if the vertex of a parabola is (6,2) option (C) is correct.

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Answer:

f(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 7

f(-3) is x = -3

Step 2: Evaluate

Answer:

x² - 12x + 36

Step-by-step explanation:

Given

(x - 6)² = (x - 6)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 6) - 6(x - 6) ← distribute both parenthesis

= x² - 6x - 6x + 36 ← collect like terms

= x² - 12x + 36

yes ofc, and im sorry to hear that

Answer:

ummmm s1ure

Step-by-step explanation:

Answer:

im not so sure..but you can look at yt videos, they help a lot :)

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

Answer:

50°

Step-by-step explanation:

[tex]m\angle RST = \frac{1}{2} \times (150\degree - 50\degree) \\\\

m\angle RST = \frac{1}{2} \times 100\degree \\\\

\purple{ \bold{m\angle RST =50\degree}} \\\\[/tex]

Answer:

D. 5

Step-by-step explanation:

From the information given:

The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

where; the two points are:

(-1 , f( -1) )    &    ( 1,  f(1) )

For f(1); we have:

f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2

f(1) = 1 + 3 - 5 + 2 -2

f(1) = - 1

For  f( -1); we have:

(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2

= 1 - 3 - 5 -2 - 2

= -11

∴

[tex]=\dfrac{-1-(-11)}{1 - (-1)}[/tex]

[tex]=\dfrac{-1+11}{1 +1}[/tex]

[tex]=\dfrac{10}{2}[/tex]

= 5

Answer:

The value of cot (∠A) = 3/4

Step-by-step explanation:

Given the angle ∠A of a right-angled triangle

We know that the trigonometric ratio

cot (∠A) = adjacent / opposite

             =  3/4

Thus, the value of cot (∠A) = 3/4

Answer:

Line 2 and 3 are parallel

Step-by-step explanation:

Recall that the general equation of a line in slope-intercept form is given by:

y = mx + b

where m is the gradient (slope).

two different equations that have the same value of m is said to have the same gradient and hence are parallel.

We simply have to rearrange each given equation so that it takes the form

y = mx + b and then compare all 4 to see which values of m are the same.

Line 1 :  y = -7x + 6

Line 2: x +(1/5)y=-6 ===> rearrange to get y = -5x - 30

Line 3:  y= -5x -8

Line 4:  y+7=(-1/7)(x+4) ===> rearrange to get y = (-1/7)x - (53/7)

comparing the above, it is clear that line 2 and line 3 have m- values of m = -5, hence these lines are parallel.