Draw diagonals from one vertex to all of the non-adjacent vertices. Which polygon is constructed from four triangles?

Answer:

2

Step-by-step explanation:

If the value of the discriminant is positive, there are two real solutions for x, meaning the graph of the solution has two distinct x-intercepts

Here 25 is positive discriminant, hence the function will have 2 x - intercepts

Answer:

Once

Step-by-step explanation:

I put it into slope intercept first

(5/6)x - (2/3) = y

(2/3)x - (7/3) = y

Both lines are linear so they are straight. Since the two are not parallel or have the same slope then they will cross once.

Answer:

Length: 84 ft

Width: 56 ft

Step-by-step explanation:

Let's define some variables first.

Call the length l and width w.

We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.

Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.

Remember the formula for perimeter of a rectangle: 2l + 2w

Let's substitute 2/3l for w:

2l + 2*2/3l = P

2l + 4/3l = 280

2 4/3l = 280

10/3l = 280

l = 84

Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.

84*2/3 = 56

Length: 84 ft

Width: 56 ft

Let's plug these values into the formula and see if they give us the correct perimeter:

2l + 2w = P

2*84 + 2*56 = P

168 + 112

= 280 feet

These are the correct dimensions!  

Hope this helps! You can reach out to me if you have further questions or concerns! :)

Answer:

4.12

Step-by-step explanation:

[tex]\sqrt{17} = 4.1231[/tex] ≈ 4.12

Answer:

[tex]4\sqrt{5}[/tex] miles.

Step-by-step explanation:

From the given figure it is clear that the coordinates of Elm station are (-3,-6) and coordinates of Symphony station are (1,2).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between Elm and Symphony stations is

[tex]D=\sqrt{(1-(-3))^2+(2-(-6))^2}[/tex]

[tex]D=\sqrt{(1+3)^2+(2+6)^2}[/tex]

[tex]D=\sqrt{(4)^2+(8)^2}[/tex]

[tex]D=\sqrt{16+64}[/tex]

[tex]D=\sqrt{80}[/tex]

[tex]D=4\sqrt{5}[/tex]

Therefore, the distance between Elm and Symphony stations is [tex]4\sqrt{5}[/tex] miles.

Answer:

2 UNITS

Step-by-step explanation:

Answer:

40/42 = 20/21

Step-by-step explanation:

Answer:

[tex]\frac{20}{21}[/tex]

Step-by-step explanation:

To divide fractions, multiply by the reciprocal. Therefore:

[tex]\frac{5}{6} / \frac{7}{8} = \frac{5}{6} * \frac{8}{7}[/tex]

Solve by multiplying the fraction with the reciprocal:

[tex]\frac{5}{6} *\frac{8}{7}= \frac{5*8}{6*7} = \frac{40}{42}[/tex]

Simplify:

[tex]\frac{40}{42} = \frac{20}{21}[/tex]. This is your answer!

Answer:

Step-by-step explanation:

f(-2)=g(-2) is correct.

at x=-2,f(x)=4,g(x)=4

so f(-2)=g(-2)

Answer:

6/12

Step-by-step explanation:

[tex]\sqrt{\frac{6}{8}} × \sqrt{\frac{6}{18}}[/tex]

= 6/2√2 × 3√2

= 6/12

Answer:

B.

Step-by-step explanation:

Just find which side C is opposite to.

In this case, it is opposite to AB

Answer:

1. 10218

2. 9720

Step-by-step explanation:

1 ---------------

need to find the least 5 -digit number leaving same remainder when divided by 12, 18, 21, 28

Least 5-digit number is 10000, when it is divided by 262, we get

10000/262= 38.17

39*262= 10218, this number leaves 0 remainder when divided by all 4 given numbers, any number leaving more remainder will be greater than this

Answer: 10218

2 -----------------

Greatest 4-digit number exactly divisible by 12, 18, 40, 45

Greatest 4 digit number is 9999

9999/360= 27.78

360*27= 9720 is the greatest number we are looking for

Answer: 9720

Answer:

60

Step-by-step explanation:

2x+5+x-5=180

add the common things

3x=180

divide stuff

x=60

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

Hey!!

Solution,

2x+5+x-5=180( sum of co-interior angles)

or,2x+x-5+5=180

or,3x=180

or,X=180/3

X=60

The value of X is 60

hope it helps

Good luck on your assignment

Stay safe..

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

Answer:

length = width + 10

4*width + 20 ≤ 90

width ≤ 17.5 feet

Step-by-step explanation:

The perimeter of a rectangle is given by:

Perimeter = 2*length + 2*width

The length needs to be 10 feet longer than the width, so we have:

length = width + 10

Using this length in the perimeter equation, we have:

Perimeter = 2*(width + 10) + 2*width = 4*width + 20

The perimeter needs to be up to 90 feet, so we have:

P ≤ 90

4*width + 20 ≤ 90

4*width ≤ 70

width ≤ 17.5 feet

the maximum width of the garden is 17.5 feet

the answer should be 49mm

28*7 / 4 = 49

Answer:49mm

Step-by-step explanation:

Answer:

The same number was not added to both sides.

Step-by-step explanation:

Given:

t - 8 = 65

in the next step it states something wrong, because it should have been this:

t - 8 = 65

add +8 left and right of the = sign.

t - 8 + 8 = 65 + 8

t + 0 = 73

t = 73

So the error made what's that

The same number was not added to both sides.

Answer:

The same number was not added to both sides

Step-by-step explanation:

t - 8 = 65

Add 8 to each side

t - 8+8 = 65+8

The  student added 8 on one side and 65 on the other

t = 73

Answer:

y = 4x + 26

Step-by-step explanation:

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (-5, 6) and Gradient (m): 4

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - 6 = 4(x-(-5))

This becomes:

y - 6 = 4 (x+5)

y - 6 = 4x + 20

Keep solving by moving the 6 over to the other side:

y = 4x + 20 + 6

y = 4x + 26

An easy way to double check:

1) the coefficient of x is the slope. We got 4x, and the slope is 4, so that's correct.

2) Substitute x=-5 into the equation, and we get 6, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

Answer:

56 euros

Step-by-step explanation:

3=24

7=x

7 x 24=56

Answer:

$1000.73

Step-by-step explanation:

Answer:

Step-by-step explanation:

So that the denominator is a real number. I know that doesn't sound like a good reason, but it is the reason mostly by convention. You don't want complex i's floating all over the answer. There should be just one i.

Answer:

You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.

Answer:

Step-by-step explanation

The person drove 128 miles in one hour

I divided 640/5 and got 128 as my answer

Answer:

For every one hour you drive 128 miles.

Step-by-step explanation:

First you would need to find the unit rate.

Divide 640 by 5

[tex]640/5=128[/tex]

Unit rate=

[tex]y=128x[/tex]

Hope this helps

Answer:

5

Step-by-step explanation:

first you do 11 divided by 5

then you multiply it by 2

which gives you 4.4

the closest number is 5

correct me if i am wrong

Answer:

H. 22

Step-by-step explanation:

- The car travels 11 inches every 5 seconds, so in one second it travels:

11 inches / 5 seconds = 2.2 inches/second

- In 2 minutes (120 seconds), the car travels:

2.2 inches/second * 120 seconds = 264 inches

- To convert inches to feet, we can divide by the number of inches in a foot:

264 inches / 12 inches/foot = 22 feet

Answer:

VX = 4n +7

explanation:

the equation is VX = n + 7 + 3n, all you need to do is add the n variables and get VX = 4n + 7.

Answer:

21

Step-by-step explanation:

n+7=3n ⇒ 2n=7 ⇒ n= 3.5

VX= 2*(n+7) = 2*(3.5+7)= 21

in case you need

WY= 2*(4n+1)= 2*(4*3.5+1)= 30

Answer: A

Step-by-step explanation:

6x + 12x + 90 = 180

18x + 90 = 180

        -90      -90

18x =90

x= 5

6(5) + 12(5) + 90 = 180

30 + 60 + 80 = 180

180= 180       It makes sense that it is A because there is one right angle which has a measure of 90 degrees and the other one have two measures 6x and 12x  and both of them have to also equal  90 degrees. So 90 pluse 6x plus 12x has to equal 180 because they all lie on a straight line and a straight line has an angle measure of 180 degrees.

Answer:a

Step-by-step explanation:

Answer:

1 or 2

Step-by-step explanation:

2 if you write really small but otherwise 1 idea on 1 side of a notecard.

Answer:

Slope = 1/5 y intercept=-8

Step-by-step explanation:

We can use sloper intercept form to find the answer

Answer:

Step-by-step explanation:

 Slope = 0.400/2.000 = 0.200

 x-intercept = 40/1 = 40.00000

 y-intercept = -40/5 = -8

Answer:

1.5442%

Step-by-step explanation:

Answer:

D 1,400

Step-by-step explanation:

Species A doubles every 2 days and species B doubles every 5 days, so in 10 days, species A will double 10/2 = 5 times and species B will double 10/5=2 times. After 10 days from an initial population of 50 in each species, species A will have 50 x 2 ^5= 50 x 32 = 1,600 population while species B will have 50 x 2 ^2 = 200 population. Their difference is 1,600-200 = 1,400.

Answer:

first blank ×

second blank- nothing

Step-by-step explanation:

2×46=92