Jacob is using coordinate system to design a rhombus-shaped building. Side LaTeX: \frac{ }{AB}A B passes through point (6, 6) and is perpendicular to the graph of LaTeX: y=\frac{3}{4}x-11y = 3 4 x − 11. Side LaTeX: \frac{ }{CD}C D is parallel to side LaTeX: \frac{ }{AB} and passes through point (−6, 10). What is the equation in slope-intercept form of the line that includes side LaTeX: \frac{ }{CD}

Answer:

(x + 7)² + (y - 8)² = 49

Step-by-step explanation:

Circle Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

Step 1: Define

h = -7

k = 8

r = 7

Step 2: Substitute

(x - -7)² + (y - 8)² = 7²

(x + 7)² + (y - 8)² = 49

Answer:

(x-(-7))+(y-8)=7^2

B

Step-by-step explanation:

Answer: 1,4 and 5

Step-by-step explanation:

Answer:

1 4 5

Step-by-step explanation:

just took it

Answer:

(angle 1+2) - (angle 2) = 54-28

Calculate 54-28.

Answer:

26 degrees

Step-by-step explanation:

The total angle ABD is equal to 54 degrees, and the measure of angle 2 which is in this total amount (54) is 28 degrees. To find the measure of angle 1, you must subtract 54 and 28, which is 26 degrees, the correct answer.

Answer:

It would be 2x^2 - x -2 + 3/x-2.

Answer:

Below

Step-by-step explanation:

Use FOIL to calculate:

First

Outer

Inner

Last

So rewrite the equation using FOIL

(8x X 11x) + (8x X 23) + (35 X 11x) + (35 X 23)

     88[tex]x^{2}[/tex]   +      184x   +       385x  +       805

reduce down  to   88[tex]x^{2}[/tex]   +  569x  +  805

Step-by-step explanation:

Let the number be x

x - 7/4

The expression of the statement, four divided by the difference between a number and seven is (x-7) /4

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

An expression has to be made for the statement:

Four divided by the difference between a number and seven.

Difference is the output of the mathematical operation, Subtraction

Let the number in the expression is x

Then the expression can be written as,

Difference between a number and seven = ( x -7)

Four is divided by the difference

The number which is divided is written after the number separated by a / sign.

(x-7) /4

To know more about Expression

https://brainly.com/question/14083225

#SPJ5

Answer:

Quadrant II

Step-by-step explanation:

Below will be a picture provided to show you which quadrants are in a coordinate grid.

To graph (-4, 1) we will start at the origin, go 4 units to the left and 1 unit up.

As you can see in the image, it will be plotted in quadrant 2.

Best of Luck!

Answer:

quadrant II or 2

Step-by-step explanation:

I'm not sure if your teacher wants in Roman Numerals or not.

in quadrant II/2 x is negative (on the left side of the y-axis) and y is positive (above the x-axis)

Answer:

The pizza cost 5.04 in 2000

Step-by-step explanation:

Step One:  set the price of the pizza in 1980 equal to the price in 2000

$4.99              ?

            =  

1980           2000

Step two: Divide 1980 by 2000

1980 / 2000 = 0.99

Step Three: Divide 4.99 by 0.99

Reason: You know that 1980/0.99= 2000 and what ever you do to the denominator you have to do to the numerator and vice versa.

4.99 / 0.99 = 5.0404040

Step Four: Answer

The pizza cost 5.04 in 2000

Keep doing this until you get all of the years (2015 and 1981) pizza prices

Cost of Dominos pizza.

As per the statement, the large pizza costs about $4.99 and the cost of this pizza in 2000 be x and the cost of the same domino pizza in the year 1981 is different from that in 2015.

The answer is that the pizza cost 5.04 in 2000.

Learn more about Domino's large pizza.

brainly.com/question/19277081.

Answer:

Jerome answered 88 questions correctly

Step-by-step explanation:

88% is the equivalent of 88 questions out of 100 in this scenario, also meaning he answered 12%, or 12 questions wrong.

Answer:

Jerome answered 88 questions correctly.

Step-by-step explanation:

88x100/100=88 of the 100 questions he answered correctly.

Answer:yesterday’s was 50 decrease and today is 70 decrease

Step-by-step explanation:

If it was colder yesterday then it could be anything Anything u dear today. :)

Answer:

A

Step-by-step explanation:

Answer:

About $150

The exact amount spent is $153.60 though

Step-by-step explanation:

Just multiply 25.60 x 6

Answer: 150.

Use long multiplication to evaluate.

153.6

Round 153.6.

three is not greater than five so the final product is

150.

(x+6)(x+3)=2x^2+......

Answer:

23/72 or .3194

Step-by-step explanation:

Answer:

0.31944444444

Step-by-step explanation:

Answer:

In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.

Answer:

17i

Step-by-step explanation:

d= (under radical sign) (x2-x1)^2 + (y2-y1)^2

plug in the numbers and simplify and youll get (again under the radical sign) (-8)^2 + (-15)^2

do the math again and youll get -289 under the radical. square root of 289 is 17 and you add the i next to it because it is negative and those numbers aren't real

Answer:

5/9 = 0.55555556

use the calculator next time.

Answer:

Step-by-step explanation:

Let the rectangle dimensions be x and y. Assume that x represents the "short" side, so it is also the diameter of the semicircle. Then the perimeter is ...

  P = x + 2y + πx/2 = 90

The area is the area of the rectangle added to the area of the semicircle:

  A = xy + (1/2)π(x/2)^2 = x(π/8x +y)

Solving the perimeter equation for y, we get

  y = (90 -x -π/2x)/2

and the area equation becomes ,..

  A = x(π/8x +45 -x/2 -π/4x)

  A = x(45 -x(1/2 +π/8))

The graph of A(x) is a parabola opening downward with zeros at x=0 and x=45/(1/2+π/8) = 360/(4+π).

The vertex (maximum) of the area curve will be halfway between the zeros, at ...

  x = (0 +360/(4+π))/2 = 180/(4+π)

The value of y is then ...

  y = (90 -x(1 +π/2))/2 = (1/2)(90 -(180/(4+π))(2+π)/2) = (1/2)(90)(1 -(2+π)/(4+π))

  y = 45(4+π-2-π)/(4+π) = 90/(4+π)

The rectangle dimensions are 90/4+π) by 180/(4+π), with the semicircle diameter equal to 180/(4+π).

__

That's about 25.2 ft by 12.6 ft with the semicircle attached to the long side.

_____

Please note that the overall dimensions of the garden are the same in both directions. It is effectively "square" with two corners rounded into quarter circles.

Answer:

1156

Step-by-step explanation:

First you get the answer you divide by 9 since it is the denominator and ultimately means how many "pieces" or parts the whole number or amount will be in.  You divide by 9 and get 289.  Now you have the 1/9 part of 2601.  You now multiply this number by 4 to get the 4/9 of 2601. Whennyou multiply by four you get 1156.  I hope this makes sense and that it helps you.  Please mark brainliest if it did help.  :)

Answer:

Step-by-step explanation:

4/9 of 2601 = 1156 are boys

----------------------------------

= 2601 - 1156

= 1445 are girls

or

= 5/9 of 2601

= 1445 are girls

Answer:

proportional

Step-by-step explanation:

look at the line

Answer:

I think its Proper

Step-by-step explanation:

Part (a)

h(x) = 4*f(x) + 3*g(x)

h ' (x) = d/dx[ 4*f(x) + 3*g(x)]

h ' (x) = d/dx[ 4*f(x) ] + d/dx[ 3*g(x)] ... sum rule

h ' (x) = 4*d/dx[ f(x) ] + 3*d/dx[ g(x)] ... constant multiple rule

h ' (x) = 4*f ' (x) + 3*g ' (x)

h ' (2) = 4*f ' (2) + 3*g ' (2) ... plug in x = 2

h ' (2) = 4*(-2) + 3*(3) ... substitution

h ' (2) = 1

=======================================================

Part (b)

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x) ... product rule

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)  ... plug in x = 2

h ' (2) = -2*5 + (-4)*3  ... substitution

h ' (2) = -22

=======================================================

Part (c)

h(x) = f(x)/g(x)

h(x) = [f ' (x)*g(x) - g ' (x)*f(x)]/[ (g(x))^2 ] ... quotient rule

h(2) = [f ' (2)*g(2) - g ' (2)*f(2)]/[ (g(2))^2 ]   ... plug in x = 2

h(2) = [-2*5 - 3*(-4)]/[ (5)^2 ]  ... substitution

h(2) = 2/25

=======================================================

Part (d)

k(x) = 1 + f(x)  ... helps simplify the denominator

k(2) = 1 + f(2)   ... plug in x = 2

k(2) = 1 + (-4)  ... substitution

k(2) = -3

------

k(x) = 1 + f(x)

k ' (x) = 0 + f ' (x)

k ' (x) = f ' (x)

k ' (2) = f ' (2)   ... plug in x = 2

k ' (2) = -2

------

h(x) = g(x)/(1 + f(x))

h(x) = g(x)/k(x)

h ' (x) = [g ' (x)*k(x) - k ' (x)*g(x)]/[ (k(x))^2 ]  ... quotient rule

h ' (2) = [g ' (2)*k(2) - k ' (2)*g(2)]/[ (k(2))^2 ]   ... plug in x = 2

h ' (2) = [3*(-3) - (-2)*5]/[ (-3)^2 ]  ... substitution

h ' (2) = 1/9

Answer:

  B.  50°

Step-by-step explanation:

∠KPN is a vertical angle with ∠MPL, the third angle in triangle MPL. Since vertical angles are congruent, the measure of ∠KPN will be the same as the measure of ∠MPL:

  ∠KPN = ∠MPL = 180° -60° -70°

  ∠KPN = 50°

Answer:

C

Step-by-step explanation:

Each slope down in the graph represents a drink. so the first drink ended at 30 sec and the second one started at 60 sec so he waited 30 sec inbetween.

Answer:

f(-7) =  -177

Step-by-step explanation:

f(-7) = -4(-7)^2 + 19

f(-7) = -4(49) + 19

f(-7) = -196 + 19

f(-7) =  -177

Check: 15*17*18 = 4590 and all ages are distinct.

=====================================================

Explanation:

Let's say the three ages are x,y and z.

Since they are teenagers, this means x,y,z are values drawn from this set {13,14,15,16,17,18,19}

The number 4590 is even, so 2 is a factor. This means 2 is a factor of either x, y or z.

We see that 2 is a factor of 14,16 and 18. So it's possible that these are the x,y,z values we're after. But note how 5 is not a factor of any of these values, but it is a factor of 4590 (since the value ends in 0).

Furthermore, 3 is a factor of 4590 because the digits of 4590 add to a multiple of 3. We have 4+5+9+0 = 18 which is a multiple of 3.

The teenage years that are multiples of 3 are {15, 18}. Those two values either are even or have 3 as a factor or have 5 as a factor.

Let's see what we get when we multiply 15 and 18. So 15*18 = 270.

Divide 4590 over 270 to get 4590/270 = 17

Through luck we found the answer. Though usually with trial and error problems like this, it takes a bit more work.

So therefore the three ages are 15, 17, 18.

----------------------------------------------

Here's another approach:

Start with the set {13,14,15,16,17,18,19} which again is the set of all possible teen ages.

Divide 4590 over each item in that set

We see that the denominators 15, 17, and 18 produce whole value results. Everything else leads to a non-whole decimal value. So we can eliminate 13, 14, 16, and 19.

The only thing left is 15,17,18 which are the three different ages.

Answer:

It takes 2000s to travel.

Step-by-step explanation:

Given that the formula for time is T = D÷S where D represents distance and s is speed. So you have to substitute the following values into the formula :

T = D ÷ S

Let D = 6×10¹¹, S = 3×10⁸,

T = (6×10¹¹) ÷ (3×10⁸)

T = (6÷3) × (10¹¹÷10⁸)

T = 2×10³ s

Answer:

ye

Step-by-step explanation:

Answer:

[tex]\frac{1}{2a^2}[/tex]

Step-by-step explanation:

Step 1: Write limit

[tex]\lim_{x \to -a} \frac{x^2-a^2}{x^4-a^4}[/tex]

Step 2: Factor

[tex]\lim_{x \to -a} \frac{(x+a)(x-a)}{(x+a)(x-a)(x^2+a^2)}[/tex]

Step 3: Simplify

[tex]\lim_{x \to -a} \frac{1}{x^2+a^2}[/tex]

Step 4: Substitute

[tex]\frac{1}{(-a)^2+a^2}[/tex]

Step 5: Evaluate

[tex]\frac{1}{a^2+a^2}[/tex]

Step 6: Simplify

[tex]\frac{1}{2a^2}[/tex]

Answer:

A = 64 units²

Step-by-step explanation:

A = 1/2bh

Step 1: Define

A = ?

b = 16 units

h = 8 units

Step 2: Substitute and Evaluate

A = 1/2(16 units)(8 units)

A = (8 units)(8 units)

A = 64 units²