Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)

Answer: Angle I is congruent to angle L

Step-by-step explanation:

Did da test

To prove ΔGHI and ΔJKL are similar following statements must be true,

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex][tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]

"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."

For given example,

ΔGHI is dilated to form new ΔJKL.

Also, angle H is congruent to angle K.

To prove ΔGHI and ΔJKL are similar.

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]

Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]

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Answer:

1car 8 bus

Step-by-step explanation:

1×5=5

8×25=190

Answer:

x² +5x - 36

= x² - 4x + 9x - 36

= x(x - 4) +9(x - 4)

= (x - 4) (x+9)

so x = 4, - 9

Answer:

x + 50 × 10 = 150

x+500=150

x=150-500=-350

Step-by-step explanation:

solution,

here,

given,

x+50*10 = 150

or, x+500=150

or, x= 150 -500

therefore, x= -350

hope this helps u..

Answer:

It will take $ 989.59 in Canadian funds to buy $ 800.

Step-by-step explanation:

If one Canadian dollar is equivalent to US $ 0.8150, in order to determine how much money is needed in Canadian funds to buy US $ 800.00 the following calculation must be performed:

0.8150 = 1

800 = X

(800 x 1) / 0.8150 = X

800 / 0.8150 = X

981.59 = X

Therefore, it will take $ 989.59 in Canadian funds to buy $ 800.

Answer:

All the horizontal sections are the same shape like their base, but have different sizes.

All vertical sections through top are triangles, size are different.

The vertical sections not cut through top are 4 sided shapes, sizes are different.

Step-by-step explanation:

Answer:

The Pooled Standard Deviation for these data sets is 1.09

Step-by-step explanation:  

Given that;

Standard Deviation 1 = 1.11

Standard Deviation 2 = 0.99

Standard Deviation 3 = 1.15

pooled standard deviation is given as;

[tex]S_{pooled}[/tex] = (n1 - 1 )s1² + ..... + ( nk - 1 )sk² / n1 + ..... + nk - 1

where n1, n2....., nk are the sample sizes of k groups and s1, s2, ....., sk are the standard deviations of k groups respectively

so for the 3 groups;

[tex]S_{pooled}[/tex]² =   (n1 - 1 )s1² + (n2 - 1 )s2² + ( n3 - 1)s3² / n1 + n2 + n3 - 3

we substitute

[tex]S_{pooled}[/tex]² =   (5 - 1 )1.11² + (5 - 1 )0.99 ² + ( 5 - 1)1.15² / 5 + 5 + 5 - 3

[tex]S_{pooled}[/tex]² =   (4.9284 + 3.9204 + 5.29) / 12

[tex]S_{pooled}[/tex]² =   14.1388 / 12

[tex]S_{pooled}[/tex]² =   1.1782

[tex]S_{pooled}[/tex] = √1.1782

[tex]S_{pooled}[/tex] = 1.08544 ≈ 1.09

Therefore, The Pooled Standard Deviation for these data sets is 1.09

The club losses during the years 4.89 years<t<11.29 years.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,

t is the number of years after the takeover

We need to find in which  years was the club making loss

p(t) = t³ - 14t² + 20t + 120,

the profit is negative when the club is in loss.

Plot the cubic equation

The profit p(t) is negative in the interval (4.89,11.29)

The number of years t cannot be a negative number

Hence the club lost during the years 4.89 years<t<11.29 years.

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Answer:

Noah went faster.

Step-by-step explanation:

Elena: 60 divided by 15 = 4

Noah: 50 divided by 10 = 5.

5 meters per second is greater than 4 meters per second, making Noah faster than Elena.

Answer: The minimum is -4.

Step-by-step explanation:

The minimum of a function:

y = f(x)

will be the smallest value of y that the function gives.

such that, if the minimum is y = m

m ≤ f(x)   ∀ x

In this case, we can see that the smallest value of y is:

y = -4

Then the minimum of the sinusoidal function is -4.

Answer:

[tex]\frac{5}{18} pound of snack mix is eaten by Rachel.[/tex]

Step-by-step explanation:

Given

Total snack mix with Rachel [tex]\frac{2}{3}[/tex] Pounds

Snack mix eaten by Rachel [tex]= \frac{5}{12}[/tex] of the total snack mix

[tex]\frac{5}{12}[/tex] of the total snack mix accounts for

[tex]\frac{5}{12} * \frac{2}{3} = \frac{5}{18}[/tex] Pound

Answer:

458.45 cm³

Step-by-step explanation:

Volume of a cylinder is A = πr²h.

A = π(1.910)²(40)

A = 458.43 cm³

Answer:

5 pounds of chocolate chip cookies cost $18.95.

Step-by-step explanation:

If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.

Hope this helps!

Answer:

Metaphor

Step-by-step explanation:

Figurative Language: Simile, Metaphor, Personification, Hyperbole

Answer:

X     Y    

0     -1

2     -0.5

4     0

6     0.5

8     1

Step-by-step explanation:

I hope i got that right

Answer:

I think is A or B I don't know

Answer:

a

Step-by-step explanation:

Answer:

no idea bud

Step-by-step explanation:

Answer:

There are no real solutions, and 2 imaginary solutions.

Step-by-step explanation:

There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.

Answer:

2

Step-by-step explanation:

5+5=10

Answer:

Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop

Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.

Answer:

mildiu usa so lapuaña kqyiq iwguiq oga oga. apphq. kgaoa

Step-by-step explanation:

suost. oaabqj the ksysa

Answer:

2(pi)r=C

Step-by-step explanation:

Answer:

C: The speed increases from A to F

Step-by-step explanation:

Check each node A to F including A and F.

B is higher than A, C is higher than B, ...

This is true for all of them, so it is increasing.

The speed of the car is increasing in the time interval from point A to point F. Option C is correct.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

The graph depicts the relationship between the x and y axes through the use of curves.

Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,

Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.

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Answer:

Growth

Step-by-step explanation:

Given

[tex]\frac{2}{3}(2.5)^x[/tex]

Required

Growth or decay

The general form is:

[tex]y = ab^x[/tex]

Such that:

[tex]b = rate[/tex]

For b, we have the following conditions:

[tex]b > 1[/tex] ----- Growth

[tex]0<b <1[/tex] --- Decay

[tex]b = 1[/tex] ---- None

Compare [tex]\frac{2}{3}(2.5)^x[/tex] to [tex]y = ab^x[/tex]

[tex]b = 2.5[/tex]

Because 2.5 > 1, then the first condition applies (growth)

Answer:

x=1 y=11

Step-by-step explanation:

One of the two basic types of animal locomotion: powered flight, actual flight, or gliding. Real wings are only found in most bird species, most insect orders, and bats.

A category listing is a list of various product categories, such as children's clothing, women's clothing, and men's clothing. Any form of a category can be simply created

Soaring and gravitational gliding are two distinct types of gliding flight.

In controlled gravitational gliding, a creature propels itself in a precise direction after delaying its descent and relying on the wind for horizontal motion (parachuting).

Adaptations for guided gliding are primarily made to increase glide ratio (the amount of horizontal distance covered per unit descent)

Therefore, powered flight or true flight are the two basic categories of animal locomotion.

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Answer:

{16, 17, 18, 19, 20, 21, 22,23, 24, 25}

Step-by-step explanation:

Given the set A={a|a an even number and 15< a< =25}

The inequality 15< a< =25 mean the set A consists of all the values between 15 and 25 with 25 inclusive (due to presence of the equal to sign)

Hence the required set A are {16, 17, 18, 19, 20, 21, 22,23, 24, 25}

Note that 15 is excluded from the set of number since 15<a i.e a > 15