X^2-10x = −16 solution??

Answers

Answer 1
x^2-10x+16= 0
(x-8)(x-2)=0
x = 8 or 2
Answer 2
x^2-10x=-16
x^2-2x-8x+16=0
x(x-2)-8(x-2)=0
(x-2)(x-8)
x=2,8

Related Questions

need help again thank you
<3

Answers

a.

Answer:

240 cm^3

b.

Answer:

208cm^2

Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?

pls help me

Answers

DF = 3
Step-by-step explanation:
If ABC is equivalent to EDF, then DF is equivalent to BC, which form the following ordered pairs:
D = (0,2)
F = (3,2)
It can be seen that both pairs have the same value of "y" or second value, that is 2.
As a rule, when the points are located on the y-axis (of the ordinates) or on a line parallel to this axis, the distance between the points corresponds to the absolute value of the difference of their ordinates.
So,
DF = D(x) + F(x) = 0 + 3 = 3

Answer:

The answer is option 1:  3

Step-by-step explanation:

Just took the test :)

What is the probability that out of 125 babies born, at least 70 will be girls?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
O A. 70.4%
B. 10.5%
C. 51.2%
D. 99.0%

Answers

Answer:

Well just looking at the choices can lead you to the answer right away.

Well since the probability of boys and girls are equal, its 50/50. And since 125 in half well about is about 60-62 and the minimum amount of girls has to be 70. It can’t be higher then half and the choices remain to less then half not including 50%. So that eliminates all 3 choices except B.

The probability that out of 125 babies born, at least 70 will be girls is 10.5%. So, option B is correct.

What is meant by probability ?

Probability is defined as the chance for an event to occur. The value of probability is expressed from zero to one.

Here,

Let X be the number of girls born among the babies.

Let the number of babies born be n = 125

Let the probability of girls being born be P

Since, boys and girls are equally probable, P = 1/2 = 0.5

The probability that at least 70 girls will be born is P(X ≤ 70)

P(X ≤ 70) = P(70) + P(71) + P(72) + P(73) + P(74) +....P(125)

Applying the binomial probability equation,

P(X) = {n!/[X!(n - X)!} Pˣ (1 -P)ⁿ⁻ˣ

So,

P(70) = {125!/[70!(125-70)!]}x 0.5⁷x (1 - 0.5)⁵⁵

We get P(70) = 0.02913

Using cumulative probability function, we get the probability upto X=125.

By adding all the values, we get,

P(70) = 0.1051

Therefore probability that at least 70 girls are born = 0.1051 x 100 = 10.5%

Hence,

The probability that out of 125 babies born, at least 70 will be girls is 10.5%.

To learn more about probability, click:

https://brainly.com/question/14210034

#SPJ7

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
100, 20, 4, ...

Answers

Answer:

its a geometric progression. r=1/5 or 0.2

What is the scale factor in the dilation? A.2/5
B.1/2 C.2 D.2 1/2

Answers

Answer:

d

Step-by-step explanation:

it is

Question 6,7 I needed the answer

Answers

Answer:

6.n/4

7.3/4time G or 0.75G

Step-by-step explanation:

6.3m+n/12-m-n/4=3m-3m+n+3n=4n/12=n/4

7.G=0.9a/1.2b G=3/4*a/b

In angle ABC, AB = 2.5 m, BC = 3.2 m and AC = 2.9 m. Use the Cosine Law to find
, to the nearest degree.

Answers

9514 1404 393

Answer:

  ∠A ≈ 72°

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  cos A = (2.9² +2.5² -3.2²)/(2(2.9)(2.5)) = 4.42/14.5

The inverse cosine function is used to find the angle, given its cosine.

  A = arccos(4.42/14.5)

  ∠A ≈ 72°

Helpppp please
I’m being timeeeeedddd

Answers

Answer:

x = -9

Step-by-step explanation:

ANGLES IN A TRIANGLE ADD UP TO 180°

50° + 80° = 130°

180° - 130° = 50

x+59 = 50

x = -9

10) -2(n - 6) = 20
please help!

Answers

Answer:

n = 1

Step-by-step explanation:

Answer:

n = -4

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(n − 6) = 20

Step 1: Simplify both sides of the equation.

−2(n − 6) = 20

(−2)(n) + (−2)(−6) = 20(Distribute)

−2n + 12 = 20

Step 2: Subtract 12 from both sides.

−2n + 12 − 12 = 20 − 12

−2n = 8

Step 3: Divide both sides by -2.

[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]

n = -4

Hope this helps, please mark brainliest if possible. Have a great day.

Can y’all help me on question 1?! Have a good day everyone!

Answers

Answer:

54 square inches

Step-by-step explanation:

9 times 12 is 108. That is the area of a rectangle with the same length and width/height. A right triangle is half of that. So 108/2=54

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option B  

»»————- ★ ————-««  

Here’s why:  

An area of a triangle is half the value of the product of the triangle's base and height.

⸻⸻⸻⸻

[tex]\boxed{\text{Area of A Triangle:}}\\\\---------\\\frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\text{b - base}\\\text{h - height}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the area of the Triangle:}}\\\\-------------\\\ \frac{9*12}{2}\\\\\rightarrow\frac{108}{2}\\\\\rightarrow \boxed{54}\\\\\text{The area should be 54 square inches.}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

HELP PLEASE giving out brainilest

Answers

9514 1404 393

Answer:

  160 cm³

Step-by-step explanation:

The ratio of the linear dimensions is the square root of the ratio of areas:

  scale factor B/A= √(64/144) = 8/12 = 2/3

The ratio of volumes is the cube of the scale factor:

  (volume B)/(volume A) = (2/3)³ = 8/27

Then the volume of pyramid B is ...

  volume B = (volume A) × (volume B)/(volume A)

  = (540 cm³) × (8/27) = 160 cm³ . . . . volume of pyramid B

_____

Equivalently, the ratio of volumes is the 3/2 power of the ratio of areas.

 Vb = Va(64/144)^(3/2) = (540 cm³)(4/9)^(3/2) = (540)(8/27) cm³ = 160 cm³


21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm

Answers

Answer :

[tex] \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}[/tex]

Solution :

By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)

let's solve for area of square :

[tex]\longrightarrow \: \mathrm{side {}^{2} }[/tex]

[tex]\longrightarrow10 {}^{2} [/tex]

[tex]\longrightarrow \mathrm{100 \: cm {}^{2} }[/tex]

Now,

Radius of the both semicircles measure :

[tex]\longrightarrow \dfrac{10}{2} [/tex]

[tex]\longrightarrow5 \: cm[/tex]

now, let's solve for their area

[tex] \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} [/tex]

(Since, there are two semicircles)

[tex]\longrightarrow3.14 \times 5 \times 5[/tex]

[tex]\longrightarrow78.5 \: cm {}^{2} [/tex]

Area of Shaded region = Area of Square - Area of Semicircles, that is

[tex]\longrightarrow100 - 78.5[/tex]

[tex]\longrightarrow \mathrm{21.5 \: cm {}^{2} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}[/tex]

on an eight-question true-false quiz, a student guesses each answer. What is the proability that the student gets at least one of the answers correct

Answers

Answer:

0.9961

Step-by-step explanation:

Number of options per question = 2

P(success), p = 0.5

q = 1 - p = 0.5

Number of trials, n = 8

P(x ≥ 1) = p(x= 1) + p(x=2) +... + p(x = 8)

P(x = x) = nCx * p^x * q^(n-x)

Using a calculator to save computation time :

p(x ≥ 8) = 0.9961

What index of y make value 1/y^2

Answers

Answer:

(-2) is the index of y make value 1/y².

Step-by-step explanation:

We need to find what index of y makes value 1/y².

Here, the numerator is 1 and the denominator is y².

We know that,

[tex]\dfrac{1}{a^x}=a^{-x}[/tex]

So, the given expression is :

[tex]\dfrac{1}{y^2}=y^{-2}[/tex]

Hence, (-2) is the index of y make value 1/y².

Tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.​

Answers

Answer:

No

Step-by-step explanation:

The answer is no since f(-x) = f(x)

Example:

f(-1) = 1 - 1 = 0f(1) = 1 - 1 = 0

It is not one-to-one, it is two-to-one

9)
10)
22x - 2
8x + 2
A) 5
B) 6
D 2
C) 8
A 5
C) -10

Answers

Answer:

I don't know

Step-by-step explanation:

could you screenshot your question or reword it. I don't know what you're asking. Sorry.

What can you tell about a triangle when vibe three side lengths

Answers

Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Hope it helps...

answer 1 or answer 2?

Answers

Answer:

2 Function B

Step-by-step explanation:

Answer:

Function B is greater

Step-by-step explanation:

The gradient of Function B is of 3 = m

Though the gradient of Function A  is of 1 = m, obviously being of the smaller size

If you didn't know, gradient is the same as the slope

Hope this helps

Sue wants 1 / 3 of a rectangular pan of cornbread. Dena wants 1 / 2 of the same pan of cornbread. How should you cut the cornbread so that each of the girls gets the size portion she wants?

Answers

Answer:

Step-by-step explanation:

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.

Answers

Answer:

20%

Step-by-step explanation:

vrrggrgrhreah

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 82 m long and 53m wide. What is the length of a training track running around the field? (Use the value 3.14 and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

436.42 m

Step-by-step explanation:

We are to determine the perimeter of the field

perimeter = perimeter of rectangle + perimeter of the two semicircles

Perimeter of a rectangle = 2 x (length + breadth)

2 x (82 + 53) = 270m

Perimeter of a semicircle = 1/2πD

perimeter of the 2 semicircles = 2 x (1/2 x 3.14 x 53) = 166.42

Perimeter = 270 + 166.42 = 436.42 m

determine the value of a in the figure shown

Answers

Answer:

d

Step-by-step explanation:

180-149= 31.

31+ 122= 153

180-153= 27

a= 27

Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that angleJ and angleK are complementary, and that the measure of angleJ is 49 degrees, 28 minutes, 21 seconds. What is the measure of angleK?


The measure of angleK is degrees, minutes, and seconds.

Answers

9514 1404 393

Answer:

  40° 31' 39"

Step-by-step explanation:

Base-60 arithmetic is just like base-10 arithmetic in that you borrow the value of the base from the next-higher "digit" when you need to subtract a larger number from a smaller number.

  90 : 00 : 00 - 49 : 28 : 21  . . . . . we used a colon (:) to separate "digits"

  = 89 : 59 : 60 -49 : 28 : 21

  = 40 : 31 : 39

The measure of angle K is 40° 31' 39".

h is f × 2 r
pla help​

Answers

Answer:

step one 1 ×3 = 4

Step-by-step explanation:

how first fo ther

Please answer and explain.

Answers

Answer:

x = 13

Step-by-step explanation:

The sum of the exterior angles of a 4 sided polygon is 360

139+ 6x+9x+2x = 360

Combine like terms

139+17x=360

Subtract 139 from each side

17x = 360-139

17x = 221

Divide each side by 17

17x/17 = 221/17

x = 13

the answer is x = 13

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction?

Answers

Answer:

3/10

Step-by-step explanation:

1/10 + 1/5 =          need to get common denominators to add.

1/10 + 2/10 = 3/10

pls help me I been in this question for hr pls help ​

Answers

D is the answer for this question

50 POINTS! SHOW WORK OR ILL REPORT! Multiplying mixed numbers

Answers

Answer:

15/2 = 7 1/2

Step-by-step explanation:

3 1/3 * 2 1/4 =

= (3 * 3 + 1)/3 * (2 * 4 + 1)/4

= 10/3 * 9/4

= 90/12

= 45/6

= 15/2

= 7 1/2

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

Evaluate the expression when m=9 and n=4.
6m-n
X
?
6m -4

Answers

Answer:

50

Step-by-step explanation:

6m-n

Let m = 9 and n = 4

6*9-4

Multiply first

54-4

Then subtract

50

Trig how do you do I do not know

Answers

9514 1404 393

Answer:

  a) 2π radians

  b) 10π inches

  c) 5/4π inches per minute

Step-by-step explanation:

The formulas are fairly straightforward. Use the given values in each.

a) θ = ωt

  θ = (π/4 radians/min)(8 min) = 2π radians

__

b) s = rθ

  s = (5 in)(2π radians) = 10π in

__

c) v = s/t

  v = (10π in)/(8 min) = 5/4π in/min

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