Which expression is the completely factored form of the expression x2 - 3x - 28
(x + 14)(x - 2)
(x + 14)(x + 2)
(x - 7)(x + 4)
(x + 7)(x-4)

Answer:

x = [tex]\frac{J-Hy}{G}[/tex]

Step-by-step explanation:

This question is from the topic subject of formula. It implies expressing x in terms of G, H y and J.

Given that: Gx + Hy = J

Subtract Hy from both sides to have;

Gx + Hy - Hy = J - Hy

⇒  Gx = J - Hy

Then divide both sides by G, so that we have;

x = [tex]\frac{J-Hy}{G}[/tex]

Therefore,

x = [tex]\frac{J-Hy}{G}[/tex]

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

7x-4=7x+15​

-4 = 15 = not true

Answer:

0 because is you -7x from both sides you get -4=15 which doesn't work.

Step-by-step explanation:

Answer:

r ≈ 6

Step-by-step explanation:

r=  414.78

     π x 11

≈ 5.99848

Because of this, the answer is rounded up to 6, but the exact answer is about 5.99848

Answer:

this isnt related to the question but i hope ur having a good day

Step-by-step explanation:

Answer:

C) Divide both sides by 12; the solution is 45.

Step-by-step explanation:

Hope this helps got it right on Edge 2021

Answer:

The correct answer is C

Step-by-step explanation:

Answer:

32768

Brainiest plz :)

Answer:

402 mph

Step-by-step explanation:

Draw a right triangle with 400 and 40 as the two legs.

You know this is a right angle because 45 degrees NE is perpendicular to 45 degrees NW. (imagine a compass)

So, the two side lengths are 400 and 40

Using the Pythagorean theorem, (a^2 + b^2 = c^2) you can see that the answer is 401.995, or 402

The ground speed of the plane is 402 mph , Option B is the correct answer.

A right angle triangle is a triangle with one of its sides 90 degree.

It is given that

airplane is travelling at speed of 400mph in the direction N 45° E

wind is blowing at 40 mph in the direction N 45° W

The resultant of these two vectors will be the ground speed of the plane.

As they both are travelling in perpendicular directions ( NE is perpendicular to NW)

A right angled Triangle as attached in the image will be formed

Hypotenuse  by Pythagoras theorem will give the ground speed of the plane

Hypotenuse = [tex]\sqrt { 40 ^2 + 400^2}[/tex]

Hypotenuse = 401.99 mph

Therefore the ground speed of the plane is 402 mph.

To know more about Right Angled Triangle

https://brainly.com/question/3770177

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Answer:

[tex]area=\frac{85}{4}feet^{2}[/tex]

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

[tex]perimeter=18\frac{1}{2}\\\\length=5[/tex]

[tex]2(length+width)=perimeter[/tex]

Substitute,

[tex]2(5+width)=18\frac{1}{2}[/tex]

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

[tex]2(5+width)=\frac{37}{2}[/tex]

Inverse operations,

[tex]2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}[/tex]

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

[tex]length=5\\\\width = \frac{17}{4}[/tex]

[tex]length*width=area[/tex]

Substitute,

[tex]5*\frac{17}{4}\\\\=\frac{85}{4}[/tex]

[tex]area=\frac{85}{4}feet^{2}[/tex]

Answer:

I love algebra anyways

the steps are in the picture with the ans

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2

y+5 = -2(x-0)

y = -2x - 5

Answer:

-2x - 5

Step-by-step explanation:

Answer:

WHAT DOES TGAT EVEN MEAN

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

i think b is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

from what I gathered, the V is supposed to be a square root. if this is the case, then D is the only answer that does not produce a rational number. V16 is equal to 4, V25 is equal to 5, and V36 is equal to 6.

Answer:

(√12,-π/6)

Step-by-step explanation:

r^2 = 9+3 = 12

tanθ = √3/-3 = -1/√3

Answer:

D

Step-by-step explanation:

Correct on edge

According to the vertical asymptote of the graph, the rational function is:

A. [tex]F(X) = \frac{1}{x + 4}[/tex]

A vertical asymptote of a function is a point that is outside of it's domain.

In the graph, the vertical asymptote is at x = -4, hence [tex]x = -4 \rightarrow x + 4 = 0[/tex] is a root of the denominator, and the correct option is:

A. [tex]F(X) = \frac{1}{x + 4}[/tex]

To learn more about vertical asymptotes, you can take a look at https://brainly.com/question/11598999

Answer to your question is A. F(X)=1/x+4

Answer:

The last one

Step-by-step explanation:

Due to there being xy's in both terms

Answer:

h = 2

Step-by-step explanation:

you know the original rectangle [h = 10, w = 15]

1. The height of 15 inches turned to 3 inches by diving by 5

2. You have to do the same with the height too!

3. 10/5 = 2

The new height is 2 inches.

Answer:

22

Step-by-step explanation:

Answer:201 11/21

Step-by-step explanation:

The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.

The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:

4232 divided by 21, often written as 4232/21.

Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:

4232 divided by 21 = 201.523809

The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .

4232 divided by 21 in decimal = 201.523809

4232 divided by 21 in fraction = 4232/21

4232 divided by 21 in percentage = 20152.38095238%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.

Answer:

9g - 45h

Step-by-step explanation:

9 (g - 5h)

= 9g - 45h

Answer:

Step-by-step explanation:

y+3=1/2(x-6)

Answer:

9

Step-by-step explanation:

9 is the answer bc

6+2=8

72/8=9

(lol I hope I helped)

Answer:

36 numbers

Step-by-step explanation:

Number of digits in a number between 4000 and 5000 = 4

_ _ _ _

First digit of the number will be filled by 4.

So, the number of ways to fill the first digit = 1

4 _ _ _

If the given number is divisible by 5 then the last digit should be 5.

4 _ _ 5

So, the number of ways that the last digit should be 5 is = 1

Remaining 2 digits between 4 and 5 can be filled by any number given.

Therefore, number of ways that second place can be filled = 6

Similarly, number of ways that the third place of the number can be filled = 6

Now total number of ways = 1 × 6 × 6 × 1

                                             = 36

Therefore, numbers between 4000 and 5000, divisible by 5 = 36

Y=2+-4x

Step-by-step explanation:

Hope ot helps

Answer:

bond $42,500

CD $37,500

Step-by-step explanation:

While x is investment in bond in k$

          y is investment in CD in k$

[tex]x+y=80\\.15x+.07y=9[/tex]

Solving gives

x=42,5

y=37,5

Answer:6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

(y - y') = m ( x - x') [m = slope]

y - (-4) = 2/3 (x - 9)

(y +4) = 2/3 (x - 9)

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

3y +12 = 2x - 18

2x - 3y - 18 - 12 =0

2x - 3y - 30 =0

hope it helps ☺️☺️

The equation of the line passing through (9, -4) having slope = -2/3 will be y = (-2/3)x + 2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

Given is a line passing through (9, -4) having slope=-2/3.

The general equation of a straight line is -

[y] = [m]x + [c]

Now -

m = - 2/3

and

- 4 = -2/3 x 9 + c

- 4 = - 6 + c

c = - 4 + 6

c = 2

The equation will be -

y = (-2/3)x + 2

Therefore, the equation of the line passing through (9, -4) having slope = -2/3 will be y = (-2/3)x + 2

To solve more questions on straight line, visit the link below-

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Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

Answer:

The area is 90 sq. cm

Step-by-step explanation:

Given

The variation can be represented as:

[tex]A\ \alpha\ l * w[/tex]

Area = 60, when l = 4 and w = 3

Required

Find Area, when l = 6 and w = 3

Represent the variation as an equation

[tex]A = k(l * w)[/tex]

Where k is the constant of variation.

Substitute 60 for A, 4 for l and 3 for w

[tex]60 = k * (4 * 3)[/tex]

[tex]60 = k * 12[/tex]

Make k the subject

[tex]\frac{60}{12} = k[/tex]

[tex]5=k[/tex]

[tex]k=5[/tex]

To get the value of Area when l = 6 and w = 3.

Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]

[tex]A = 5 * 6 * 3[/tex]

[tex]A = 90[/tex]

The area is 90 sq. cm