30 POINTSSS PLEASE HELPP!!!!
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

9514 1404 393

Answer:

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

Answer:

Step-by-step explanation:

The triangle is isosceles with side WX equal to side WY:

  WX = WY

  9x -11 = 7x -3

  2x = 8 . . . . . add 11-7x

  x = 4

Then the side measures are ...

  WX = WY = 7(4) -3 = 28 -3 = 25

  XY = 4(4) +1 = 16 +1 = 17

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

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[tex]y = 9x + \dfrac 94 \\\\\text{The above equation is in a form of y=mx + b, where b is the y - intercept}\\\\\\\text{Hence the y-intercept is }~ \dfrac 94[/tex]

Answer: y=-1/4x+4

Step-by-step explanation:

slope goes down 1, and right 4 so it's -1/4. Y-intercept is positive 4 so it will be +4

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

The distance around a circle is the circumference.

Circumference = Pi x diameter.

Circumference = 3.14 x 48

Circumference = 150.72 inches

Round the answer as needed.

Answer:

y = (-1/2)x + 2

Step-by-step explanation:

The black line slopes down as we move from left to right, so we conclude that the slope is negative.   From (0,  2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).

Thus the slope is m = rise / run = -2/4, or m = -1/2.

The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.

Thus the equation of this line is y = mx + b  =>  y = (-1/2)x + 2

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Two points which can be identified from this information are; (4, 5.50) and (9, 8.00).

According to the question;

In essence, the information provided can be used to provide two points as follows; (4, 5.50) and (9, 8.00).

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A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Undefined Terms.

In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Name the points, Lines, & Planes. Collinear points are points. that lie on the same line.

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is

0.7⁴ = 0.2401

4 = [tex]log_{0.7} (0.2401)[/tex]

The exponential form of the logarithmic equation can be represented below:

Using logarithm rules,

logₐ b = x

Can be represented in exponential form as follows:

aˣ = b

Therefore,

4 = [tex]log_{0.7} (0.2401)[/tex]

using the logarithm rule described above can be represented in exponential form as follows:

0.7⁴ = 0.2401

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Answer:

0.7⁴ = 0.2401

Step-by-step explanation:

Answer:

D i think sorry if wrong

Step-by-step explanation:

79.38 cm

........................................

Answer:

dang sounds like a skill issue now give best

Step-by-step explanation:

Answer:

dang sounds like a skill issue

Answer: i think 1/4

Step-by-step explanation: maybe i might be incorrect

Answer:

3/4 or 1 1/2

This is an easy mutiplixation problem

you just turn the 2 into a fraction.

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).

15 to 19 was about a 27% in increase

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

Step-by-step explanation:

Line A : x + y = 2

The most likely equation for line B so that the set of equation has no solution is:  

x + y = 4

====

x + y = 2

x = 2 - y

2-y + y = 4

0 = 4 - 2

0 ≠ 2

there is no value for x nor y. so, no solution.

Answer:

x=16.782

Step-by-step explanation:

a=40*

b=20

c=90*

d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)

e=26.108 (bottom side)

Hope this helps! BH

Answer:

The side ST is 10. If the quadrilateral Q is reflected, and the side is 10, the others should also have 10 as the side for ST.

Answer:

88

Step-by-step explanation:

The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.

Angles D and A are both unknown.

Angles O and P are both 55.

Angles G and W are both 37.

37+55 = 92

That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.

92 + 88 = 180

Answer:

  q

-------- = x

t - w

Step-by-step explanation:

Isolate (q/x) on the right side of this equation, by subtracting w from both sides.  Then:

t - w = q/x, or

t - w       q

------- = -----

   1         x

Next, invert this equation.  We get

   1           x

--------- = -----

t - w        q

Finally, multiply both sides by q:

  q

-------- = x

t - w

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,

p = 2

q = 6

r = 16

Solve this equation for x: