Answer:
The numbers are 14 and 16.
Step-by-step explanation:
Equation:
x (x - 2) = 224
Solution:
x (x - 2) = 224
x² - 2x = 224
x² - 2x - 224 = 0
Now, we ended up with a trinomial. To find the two numbers, we need to factor it.
Factoring Trinomials
Trinomial is a polynomial with three terms which are connected by plus or minus notations. It is expressed as a² + b + c.
To factor, we need to follow these steps:
1. Find the factors of "ac" that when combined it will result to "b".
2. When "c" is positive, the sign in each binomial is the same as "b".
3. When "c" is negative, the sign in each binomial is different.
4. Write as the product of two binomials ( )( ).
Let us continue.
x² - 2x - 224
(x - 16)(x + 14)
Therefore, x = 16 and x = -14.
Since we are looking for a positive value, we are going to use the positive value of x and that is 16.
Larger number is 16.
x - 2 = 16 - 2 = 14
Smaller number is 14.
Final Answer:
The two numbers are 14 and 16.
Checking:
x (x - 2) = 224
16 (16 - 2) = 224
16 (14) = 224
224 = 224 ✔
explain how a cube root is different from a square root?
Answer:
See below.
Step-by-step explanation:
The only number this is true for is 1 . The square root and cube root of 1 is 1.
For all other perfect square/ perfect cube numbers they are different. For example square root of 64 is 8 and its cube root.
How many more miles is 8 2/3 from 5 1/2
Answer:
3.167
Step-by-step explanation:
subtract 5 1/2 from 8 2/3
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(0,6)
Step-by-step explanation:
First, deal with the reflection. Reflecting the triangle over the x axis will reflect it vertically into the upper right quadrant. Because it is reflected vertically, the x values of the vertices will not change and the y values will be the negative of whatever value they are originally. If the coordinates of each vertex are (x,y), you can easily find their new location by changing it to (x,-y). After the reflection, the coordinates of the vertices are as follows:
A = (2,6) [originally (2,-6)]
B = (2,1) [originally (2,-1)]
C = (5,6) [originally (5,-6)]
Now, deal with the translation. A translation of -5 units horizontally means that the triangle will be moving 5 units to the left. The y values will be unaffected by the translation. To find the new coordinates, subtract 5 from the x values of the coordinates after the reflection.
A = (-3,6)
B = (-3,1)
C = (0,6)
Therefore, the answer is (0,6).
EMERGENCY! PLEASE ANSWER ASAP!
Answer:
B - In each round, the number of emails is 3 times the round before.
Step-by-step explanation:
This is because each time down, it is being multiplied by 3 again.
3
3 times 3 = 9
3 times 9 = 27 (can also be 3 times 3 times 3)
What is the square root of 1,728?
the square root of 1728 is 41.57.
Answer:
41.57 is the answer.
helppppppppppppppppppppppp
Hey there!
In order to simplify the first expression, we need to use the Distributive Property:
4(7x-4)=28x-16 (the same as 4*7x-4*4)
Hence, the equivalent expressions are
[tex]\boxed{\boxed{\bold{28x-16\;and\;4*7x-4*4}}}[/tex]
[tex]\rule{200}{2}[/tex]
In order to simplify the second expression, we need to combine like terms:
11y+3y+9y
11y+12y ✓
23y ✓
Hence, the equivalent expressions are
[tex]\boxed{\boxed{\bold{11y+12y\;and\;23y}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
In Albany it is -4F, in Chicago it is -14F, in Minneapolis it is -11F, and in Toronto it is -13F. In which city is it the coldest?
Answer:
Chicago
Step-by-step explanation:
Compare the temperatures:
-4, -14, -11, -13
Numbers become smaller to the left on the number scale.
For instance, -10 is less than -5.
So, -13, -11, and -4 are all greater than -14.
And the lower the temperature, the colder it is.
Thus, Chicago is the coldest.
What's the answer to -12÷(-3)
Answer:
4
Step-by-step explanation:
(-12) ÷ ( -3) = 4
In multiplication and division, if number of negative sign is even, the the result will be a positive integer
Expand it please
(3h+7k)2
Answer:
6h+14k
Step-by-step explanation:
Multiply 2by 3h which gives 6h then multiply 7k by 2 which gives 14k.
Since 6h and 14k are not like terms u cannot add so your answer will be 6h + 14k.
Answer:
9h² + 42hk + 49k²
Step-by-step explanation:
Given
(3h + 7k)²
= (3h + 7k)(3h + 7k)
Each term in the second factor is multiplied by each term in the first factor, that is
3h(3h + 7k) + 7k(3h + 7k) ← distribute both parenthesis
= 9h² + 21hk + 21hk + 49k² ← collect like terms
= 9h² + 42hk + 49k²
what is the simplest form of 28/91?
Answer:
4/13
Step-by-step explanation:
We can first find the GCD or GCF of 28 and 91. 91 in its simplest form is 13*7. 28 in its simplest form is 2*2*7. The only common factor they have is 7, so 7 is the GCD. We can divide both by 7 to get [tex]\frac{4}{13}[/tex]
Neena a has $25.00 in nickels. How many nickels does Neena have?
A: 5
B: 125
C: 250
D: 500
Answer:
The answer would be D
Step-by-step explanation:
Because We multiplied 25 by 100, because there are 100 cents in a dollar, and we divided 2,500 by 5, because there are 5 cents in a nickel.
PLEASE HELP ASAP I WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
r ≈ 12.1
Step-by-step explanation:
from the diagram the radius r of the circle is GM and GE and
GA = r - 4
using Pythagoras' identity in right triangle AGM , then
9² + (r - 4)² = r² ← expand factor on left using FOIL
81 + r² - 8r + 16 = r² ( subtract r² from both sides )
97 - 8r = 0 ( subtract 97 from both sides )
- 8r = - 97 ( divide both sides by - 8 )
r = [tex]\frac{-97}{-8}[/tex] ≈ 12.1 ( to 1 dec. place )
Please Help me !!! Please Help .......Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew the picture below. What was Carla's mistake?
Answer:
There should be 5 lines of symmetry.
Step-by-step explanation:
Carla's draw only one line of symmetry but in a regular pentagon there should be 5 line of symmetry.
Here,
Carla was asked to draw all the lines of symmetry for a regular pentagon.
She drew the picture as shown.
We have to find Carla's mistake.
What is Regular Pentagon?
A regular pentagon is a pentagon that has 5 equal sides and 5 equal angles.
Now,
As shown in figure,
Carla's draw only one line of symmetry.
But in a regular pentagon there should be 5 line of symmetry.
Hence, There should be 5 line of symmetry.
Option 4 is true.
Learn more about the regular pentagon visit:
https://brainly.in/question/268970
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Solve for v.
-4 + v = -9
v =
Answer:
v = -5
Step-by-step explanation:
Add 4 on both sides.
-9 + 4 = -5
v = -5
uh i have no clue so plz help
Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a equilateral triangle?
Answer:
(B)45°, 67.5°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides are equal.
An Octagon is a polygon with 8 sides.
Since it is a Regular polygon, the following holds:
1.The Radii are equal
2. The angle Subtended by two radii are equal for all triangles in the octagon.
3. There are 8 Isosceles triangles in the octagon.
(a)Measures of angle formed by Two radii
From the centre of the octagon, there are 8 equal angles.
Sum of Angle at a point= 360°
Each Angle=360°÷ 8 = 45°
The measures of angle formed by two radii is 45°.
(b)a radius and a side of the polygon.
Since the triangles are Isosceles, the base angles at the side of the octagon are equal.
Let x be the angle made by a radius with a side.
From (a) above,
x+x+45°=180°(Sum of Angle in a Triangle)
2x=180-45°
2x=135°
x=135°÷2=67.5°
The angle between a radius and a side of the polygon is 67.5°.
Step-by-step explanation:
Find all whole values for y for which the double inequality is true: −5
Answer:
0, 1
Step-by-step explanation:
Whole numbers do not include negatives !
Help my little sister shes pass due
3. 3x = 12
An open statement in math means that it utilizes variables, and can only be concluded as being "true" or "false". The problem would result in asking whether or not it is always true or not. In this case, x will be true when you plug in 4, however, it will not be true when you plug in any other number. Therefore, it is a closed statement that can be falsified.
4. Open.
The statement can be true if the variable g is 35, however, it is false if it is not. An open statement concludes that it may or may not be correct, thereby being open.
~
I need help with questions 10,11,12,13.
Thanks!
Answer:
1:2
4:1
1:5
5:7
I can't really give a step by step but just find the distance for the numerator and denominator and simplify
Line parallel to y=0.5x+3 that passes through the point (−9,12)
Complete question is;
Write the equation of line in slope-intercept form. Line parallel to y = 0.5x + 3 that passes through the point (−9,12)
Answer:
y - 12 = 0.5(x + 9)
Step-by-step explanation:
We want to find the line parallel to y = 0.5x + 3 that passes through the point (−9,12).
To some this, we will use the equation;
y - y1 = m(x - x1)
Here, x1 = -9, y1 = 12, m = 0.5
Thus;
y - 12 = 0.5(x - (-9))
y - 12 = 0.5(x + 9)
please help have a nice day
Answer:
it is 12
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Sequence 1: 4, 12, 36, 108
Sequence 2: 20, 28, 36, 44
Hope this helps!
How does national glory increase?
a group of students there any Circle to play a game the circle has a diameter of 22. which measurement is close to the circumference of the circle in meters?.
Hello! The answer is 69.11
Step-by-step explanation:
This is the formula you use: Circumference = 2 * π * r
r = Radius, the radius is just half of the (22) diameter, so half of 22 is 11.
2 * π * 11 = 69.11
Identify this sequence: 12,19,26,33,40,47. The next term is___??
Answer:
54
Step-by-step explanation:
30 − 9 + 3 − (12 ÷ 4)?
18
20
21
24
Step-by-step explanation:
30-9+3-(12÷4)
30-9+3-3
21
Hope this helps you
have a good day.
Answer:
21
Step-by-step explanation:
Original Equation:
30 - 9 + 3 - (12 ÷ 4)
Divide inside the parentheses:
12 divided by 4 equals 3
Equation:
30 - 9 + 3 - 3
Now, subtract 9 from 30
21
Equation:
21 + 3 - 3
The threes cancel each other out:
Add 3 to 21
24
Equation:
24 - 3
Subtract.
21
The answer is 21
Hope this helped :)
Write and equation to represent the function.
Input(x). 1. 2. 3. 4
Output(y). 6. 10. 14. 18
Answer:
in explanation
Step-by-step explanation:
Input to output so for the input when it is 1=6 because it starts at 5 and then 8 what I mean is when the input comes out the output is going to be 3 more greater than last time.
So 1=6 so 6 is 5 more then
2 to 10=8 so 5 more went to 8 more.
Next is 3 and 14 so 3 more again because 8 + 3=11 so in that case that next number is 4 it will be 14 more
So 14 more than 4=18 and that is the output.
Also for the output it adds 4 for the numbers 6 + 4=10 + 4=14+ another 4=18.
And input is just plus 1.
Hope it helps have a great day:)
If you have 15 pieces of candy and you gave 6 of them away, how many pieces of candy do you have left?
Only for Elementary students to answer. Thank You
Answer:
56
Step-by-step explanation:
C= 5/9 (F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
|. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
||. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
|||. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Extra: Please help! I need it for math!!
Answer:
C = 5/9 (F - 32)
This is a temperature scale change comparison.
By this we understand, that ,
1°C = 5/9°F
Which is equal to, 5/9°F = 1°C
These two statements are satisfied by I. and II.
So, the correct answers are, I. and II.
If my answer helped, kindly mark me as the brainliest!
Thank You!!
If x = –12 and y = 16, evaluate x + y – 5x.
Answer:
64
Step-by-step explanation:
- 12 + 16 - 5 (-12)
- 12 + 16 + 60
4 + 60
= 64
Answer:
64
Step-by-step explanation:
If x = –12 and y = 16, evaluate x + y – 5x.
Solution,
= x + y - 5x
= -12 + 16 - 5 ( -12 )
= - 12 + 16 + 60
= - 12 + 76
= 64
A long distance phone call costs $1.75 plus $0.30 for each minute of the coll. Write and solve a
linear equation to find the length of a phone call that cost $7.45.
Answer:
1.75 + 0.3x = 7.45; 19 minutes
Step-by-step explanation:
The cost of the phone call is found by 1.75 + 0.30 multiplied by the number of minutes the calls lasts. The cost of the call is 7.45 so 1.75 + 0.3x = 7.45. Begin by subtracting 1.75 from each side of the equation. That leaves 0.3x = 5.7. Then divide both sides by 0.3. This gives x = 19.