15
A garden is in the shape of a rectangle 80 m by 70 m.
Flowers are grown in 40% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.

The distance between these two animals is

3850

Answer:

Step-by-step explanation:

Complete the square:

y = x² + 12x + 27

  = x² + 2*6*x + 6² - 6² + 27

  = (x + 6)² - 36 + 27

  = (x + 6)² - 9

Correct choice is A

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

Answer:

log ( 25x⁵)

Step-by-step explanation:

use a×log × b = log b^a to transform the expression.

use log x + log y = log ( x×y ) to simplify the expression

Evaluate the power

Answer:

( a ) an even number

Step-by-step explanation:

The product of a non - zero whole number and its successor is always an even number.

Answer:

A

Let a non-zero is X, if X is odd number than Successor become even. ( A+1= even number ) X is odd ×(A+1)= Even. If X is even number than Successor become odd

Answer:

D 1. use distance formula to show Pythagorean Theorem holds true

2. use slope formula to show that two sides have opposite reciprocal slopes

Step-by-step explanation:

Answer:

Part 1)

The height of the diving board is 19 feet.

Part 2)

Five seconds.

Part 3)

44 feet.

Step-by-step explanation:

Joyce's dive is represented by the equation:

[tex]h=-t^2+10t+19[/tex]

Where h represents her height (in feet) after t seconds.

Part 1)

Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:

[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]

The height of the diving board is 19 feet.

Part 2)

Since this is a quadratic, the maximum height will occur at its vertex point.

So, we need to find the vertex. We can use the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 10, and c = 19.

So, the t-coordinate of the vertex is:

[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]

Joyce will reach her maximum height after five seconds.

Part 3)

To find the maximum height, simply substitute this value back into the equation. Hence:

[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]

So, her maximum height is 44 feet in the air.

Answer:

Base - 7 yards

Height - 10 yards

Area - 35 square yards

Step-by-step explanation:

By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].

Therefore, we have:

[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]

Step-by-step explanation:

Find the score for evan then subtract the points for min and evan tu find the difference

Answer: -21x+35+11y

Step-by-step explanation:

7(-3x+5) +11y

7x-3 7x5

-21x+35+11y

you can't add, subtract, or anything with this, so this will be your final answer.

Answer: 8

Step-by-step explanation:

Answer:

10x² + 14x - 48

Step-by-step explanation:

F: (5x)(2x) = 10x²

O: (5x)(6) = 30x

I:  (-8)(2x) = -16x

L:  (-8)(6) = -48

combine the two middle terms to get 14x

10x² + 14x - 48

Answer:

yes

Step-by-step explanation:

and no

Answer:

B 15

Step-by-step explanation:

Answer:

15 is correct

Step-by-step explanation:

given the angles are the same we can write it as:

4x-30 =2x

-30=-2x

15=x

with the strategy of writing same angles as an equation, you can solve these math problems hopefully easily yourself.

always get stronger :)

Answer:

The remainder is 24

Step-by-step explanation:

[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]

[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]

[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]

[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]

[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]

Therefore, the remainder is 24.

Answer:

6 is the constant

Step-by-step explanation:

8x^2-7x+6

The constant is the term that does not change ( the one with out the variable)

6 is the constant

Answer:

A & D have the same volume :):):)

9514 1404 393

Answer:

  y = 20·2^x

Step-by-step explanation:

Use the given points to write two equations, then solve for 'a' and 'b'.

  20 = a·b^0 = a

  5120 = a·b^8 = 20·b^8   ⇒   256 = b^8

  b = 256^(1/8) = 2

Your function is ...

  y = 20·2^x

Answer:

Step-by-step explanation:

The two lines intersect at one point.  At this one point, the two students will have drunken the same amount of liquid.

There is sufficient info here so that one could determine that time and that volume of liquid if desired.

Answer:

b. would be the answer bc it goes in a line if you were to connect the dots

Answer:

x=8

Step-by-step explanation:

9x - 8 = 64 (being vertically opposite angles)

9x = 64 + 8

x=72/9

x=8

9x -8

9*8 -8

72-8

64

The value of x will be equal to 8.

There are four angles created when two lines cross. There are two sets of non-adjacent angles among these angles. These are referred to as vertically opposite angles, opposite angles, or vertical angles. These angles are all of the same sizes.

The value of x will be calculated by equating the two opposite angles to each other.

9x - 8 = 64 (being vertically opposite angles)

9x = 64 + 8

x=72/9

Divide the number 72 by 9 to get the value of x.

x=8

Calculate the angle by putting the value of x.

Angle = 9x -8

Angle = 9x 8 -8

Angle = 72-8

Angle = 64

Therefore, the value of x will be equal to 8.

To know more about the vertically opposite angles follow

https://brainly.com/question/1673457

#SPJ2

Answer:

I'm sorry I wish if I could help you but not sure of the answe

Answer:

B.

Symmetric Property

Step-by-step explanation:

Answer:

80=0.25x

0.25(400)=80

100=80

$20= profit

Step-by-step explanation:

Answer:

[tex]y=-\frac{2}{7} x+7[/tex]

Step-by-step explanation:

First Solve For The Slope Using The Two Given Points!

M = Slope

M = [tex]\frac{y2-y1}{x2-x1}[/tex]

M = [tex]\frac{5-9}{7--7}[/tex]           Two negative signs together makes addition!

M = [tex]\frac{-4}{14}[/tex]               Move the negative sign (only if the fraction has a negative)

M = [tex]-\frac{4}{14}[/tex]            Simplify

M = [tex]-\frac{2}{7}[/tex]              Final Answer

Then see how many units the graph goes up = y-intercept

Answer: 7

Answer:

4 right angles

Step-by-step explanation:

All rectangles have 4 right angles in common.

All the rectangles have all their right angles (there are four of them) in common. The bottom-left box correctly states the commanality.

A rectangle consists of 4 sides, connected end to end, such that all the adjacent sides are at right angles (90°) with each other.

Due to four corners in a rectangle, and all corners internally having right angles, so all the rectangles have 4 right angles in common.

It isn't necessary for all the four sides being equal (its for square though, a special case of rectangles). (we assume that the fourth box is stating that all 4 sides of all rectangles are same in length)

But all the rectangles have their oppositely faced side pairs having equal length within their pairs.

Also, even if all the rectangles have 4 sides, but one rectangle can have some other lengthed sides, and another rectangle can have its sides of other lengths.

Thus, all the rectangles have all their right angles (there are four of them) in common (well right angle is not the only thing they've got in common, like they've got exterior angles common, 4 vertices etc). The bottom-left box correctly states the commanality.

Learn more about rectangles here:

https://brainly.com/question/1365755

Answer:

x = 30

Step-by-step explanation:

Side splitter theorem,

"If a line intersects two sides of a triangle and is parallel to the third side of the triangle, will divide the sides proportionally."

Therefore, ratio of the parts of two sides intersected will be proportional.

[tex]\frac{3}{15}= \frac{6}{x}[/tex]

[tex]x=\frac{6\times 15}{3}[/tex]

[tex]x=30[/tex]

Therefore, [tex]x=30[/tex] will be the answer.

Answer:

D.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-5, -3)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m