The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number.
What are the possible values for m and n?
Answers
By solving a system of equations, we will see that the values of n and m are 3 and -4.
How to get the values of n and m?
We need to get two values n and m such that:
n*m = -12
n + m = -1
So this is a system of equations, to solve it, we first need to isolate one of the variables in one of the equations. I will isolate n on the second equation:
n = -1 - m
Then, replacing that on the other equation we get:
(-1 - m)*m = -12
-m - m^2 = -12
-m^2 - m + 12 = 0
This is a quadratic equation, the solutions are given by Bhaskara's formula:
[tex]m = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-1)*12} }{2*-1} \\\\m = \frac{1 \pm 7}{-2}[/tex]
Now, let's take the first solution for m:
m = (1 + 7)/-2 = -4
Then the value of n is the other solution, (or we can use the equation for n that we found above):
n = -1 - m = --1 - (-4) = 3
Then the two numbers are 3 and -4, meaning that the correct option is the first one.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Related Questions
Solve for x.
8x2 + 5 = 35
Round to the nearest hundredth.
Enter your answers in the boxes.
The solutions are approximately
and
Answers
Answer:
1.94 & -1.94
Step-by-step explanation:
I took the test! Hope this helps :)
What is The greatest common factor of 48 and 81?
Answers
Step-by-step explanation:
48 and 81 can be divisible by 3;
[tex]4 + 8 = 12 \div 3 = 4\checkmark[/tex]
[tex]8 + 1 = 9 \div 3 = 3\checkmark[/tex]
The GCF of 48 and 81 is 3.
Answer:
The GCF of 48 and 81 is 3
Step-by-step explanation:
The greatest common factor of 48 and 81:
Factors of 48:
1 * 48
2 * 24
3 * 16
4 * 12
6 * 8
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 81:
1 * 81
3 * 27
9 * 9
1, 3, 9, 27, 81
Compare them to find the GCF:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
1, 3, 9, 27, 81
Hope this helps!
Does anyone have the answer key PDF for Plato (Edmentum) Precalculus A End of Semester Test??
Answers
Answer:
Step-by-step explanation:
No but if you copy and paste the question to me i can get you the answers :)
Answer:
I do.
Step-by-step explanation:
Let me know if this works!:)
use all digit to form the greatest 4 digit even number. 2165
Answers
Step-by-step explanation:
I am not sure that the question is completely described here.
but based on what is readable here, the greatest 4 digit even number is
9998
the next even number would be 10000, which has already 5 digits.
There are 5 pizza's to be shared among
10 party guests. If each person gets an
equal share of the pizza's, what fraction
of the pizza's will each person receive?
Between what two whole numbers will
the fraction be?
Answers
Step-by-step explanation:
IF THERE ARE FIVE PIECES TO BE SHARED AND EVERYONE MUST HAVE AN EQUAL SHARE THEN EACH PERSON SHOULD GET HALF A PIZZA WHICH IS 1/2. BETWEEN 0 AND 1 IS WHAT THE FRACTION 1/2 WE BE BETWEEN.
Which angles are adjacent to each other? Select all that apply.
Answers
Answer:
all except for the HBF and CED
Step-by-step explanation:
because adjacent means that they are on the same line in one way or another.
If the die above is rolled 180 times, predict the number of times it would land on a multiple of 3.
Answers
Answer:
C.The die would land on a multiple of 3 exactly 60 times.
Step-by-step explanation:
Hope this helps! If it did, mark brainliest, please!
Compute the perimeter of the rectangle using the distance formula (round to the nearest integer)
A)
22
B)
23
C)
38
D) 45
Answers
Answer:
C)38 or B)23, or D)45
Step-by-step explanation:
you can pick but please give me brainliest
a
18. Find the value of a for which GHIJ must be a parallelogram.
Answers
Answer:
Well a parallelogram has congruent opposite sides.
We need to find the value of a here.
A shape’s angle must add up to following this equation
180(n-2) = ?
Now solve for this equation right here with “n” as “sides.
THis shape has 4 sides so 180(4-2) = 360
You have each interior angle of the parrlelogram which is 360.
Let’s solve 112 and 4b +8 first.
We know they have to be equal since opposite angles of a parrlelogram has to be equal.
112 = 4b + 8
104 = 4b
26 = b
You have b as 26.
Now solving it we know that two angles “G” and “I” are both 112.
112 *2 = 224
Thats one side done.
Now the opposite…
With 224 already being taken away subtract 360 by 224 since we figured out 360 was the amount of all the interior angles in the shape add upo to. 360 - 224 = 136
136 is the other two angles ADDED UP.
Divide it by 2 since both has to be equal and be the same.
68
Now solve for a.
2a = 68.
= 34
Answer:
34
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary
2a + 112 = 180
2a = 68
a = 34
what is equal to d - 7
Answers
d + (-7)
i don't know if this is what you mean
Determine the length of side a in the triangle below. (Not drawn to scale.) the hypotenuse is 2.5 the leg is 2
Answers
Answer:
a = 1.5
Step-by-step explanation:
Assuming side 'a' is the short side of a right triangle with the given dimensions, we can find it using the Pythagorean theorem.
c² = a² +b²
a = √(c² -b²) = √(2.5² -2²) = √2.25
a = 1.5
_____
The ratio of the given sides is 2.5 : 2 = 5 : 4. Only one right triangle has hypotenuse and long side in the ratio 5 : 4. That is the 3-4-5 triangle. This means the short side is 3/5 of the hypotenuse, or (3/5)(2.5) = 1.5
The length of side 'a' is 1.5 units.
Hundreds:700 tens:270 ones:7
What number is represented by the base ten blocks?
Answers
Answer:
977
Step-by-step explanation:
The amount to equally make a whole is 100. In this case the tens has 270 so subtracting it till it can no longer be subtracted by 100 would leave you 70. you have 2(200) wholes that's basically 100s so you add 200 and 700 getting 900 and left with 70 and 7 add those two and get 77 and adding the 900 would be 977.
(sorry if I'm incorrect,dearest apologies.)
t-activity-player/star/start
A piece of machinery depreciates $6000 the first year,
$5600 the second year, and $5200 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?
Answers
Answer:
$2400
Step-by-step explanation:
as you realize, it is going down by $400 per year
6000, 5600, 5200, 4800, 4400, 4000, 3600, 3200, 2800, 2400
1. 2. 3. 4. 5. 6. 7. 8. 9. 10
it would be $2400
answer for Possible Outcomes and Value of the Random Variable G
Answers
Answer:
I hope you see my answer in the picture btw pease brainliest my answer...My answer is correct
Answer:
hope it helps you bro and mark me as brainliest
Help. I just need someone to draw the graph for me.
Answers
Answer:
Step-by-step explanation:
I hope this helps
Which statements show that △ A B E is similar to △ A C D ? Select TWO that apply.
Answers
A shape is similar if corresponding angles are equal & if one is an enlargement of the other.
(I. E., one shape is twice as big as the other one.)
So, compare the lengths to find a common scale factor (of 2, for example, where you multiple by 2 to get a value & divide to get original value, from one shape to another.)
Hope this helps!
Triangle ABC is translated 4 units left and 2 units up. What are the coordinates of the image?
Answers
Solution:
If a triangle is translated 4 units left and 2 units up, it means that the coordinates of A, B, and C will move 4 units left and 2 units up.
We know that:
Coordinate of A: (0, 1)Coordinate of B: (1, -3)Coordinate of C: (4, -1)Translating the coordinate 2 units up and 4 units left.
New coordinate of A: (0 - 4, 1 + 2) = A(-4, 3)New coordinate of B: (1 - 4, -3 + 2) = B(-3, -1)New coordinate of C: (4 - 4, -1 + 2) = C(0, 1)If we put them together, we get A(-4, 3) B(-3, -1) C(0, 1).
New coordinate after transforming 4 units left and 2 units up will be A'(-4, 3) , B'(-3, -1) and C'(0, 1).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given coordinates are
A(0, 1) B(1, -3) and C(4, -1)
By transforming 4 units left and 2 units up
New coordinates will be
A(0 - 4, 1 + 2) ⇒ A'(-4, 3)
B(1 - 4, -3 + 2) ⇒ B'(-3, -1)
C(4 - 4, -1 + 2) ⇒ C'(0, 1)
Hence " New coordinate will be A'(-4, 3) , B'(-3, -1) and C'(0, 1)".
For more about coordinates,
brainly.com/question/7869125
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Identify the transformation that maps ABC —-> EFC. Explain.
Answers
Answer:
Reflection
Step-by-step explanation:
4 Types of transformations exist
translation, rotation, reflection and dilation.
You can tell its a reflection since it looks like it could have been reflected in a mirror. For more information search and look at the pictures of the different transformations
Hope this helps!
Consider the line y=-9x+5.
Find the equation of the line that is parallel to this line and passes through the point (7, 2).
Find the equation of the line that is perpendicular to this line and passes through the point (7, 2).
Answers
Step-by-step explanation:
1) if the point A(7;2) and the given line is in slope-interception form, then the required parallel line has the same slope, its equation can be written as: y=-9x+C, where C - unknown number;
2) to calculate the C it is needed to substitute the A(7;2) into the required equation of the parallel line:
2=-9*7+C; ⇒ C=65.
3) the parallel line is: y=-9x+65.
4) if the point A(7;2) and the given line is in slope-interception form, then the slope of the perpendicular line is: (-1)/(-9)=1/9, and the required equation of the perpendicular line can be written as:
y=1/9 *x+C, where C - unknown number;
5) to calculate the C it is enough to substitute the A(7;2) into the required equation of the parallel line:
2=1/9 *7+C; ⇒ C=11/9;
6) the perpendicular line is:
[tex]y=\frac{1}{9} x+\frac{11}{9}.[/tex]
Mathematics help ...
no links
Answers
Answer: 6 5/8 6 3/4 6 1/2
Step-by-step explanation:
If you divide a pizza. The less people the more pizza you get. So, the answer is
6 5/8
6 3/4
6 1/2
Cos0= 12/13. Find sin 0
Answers
Answer:
A. 5/13
Step-by-step explanation:
I hope you benefit from me
I wrote down the steps for you...
if p varies directly as r and p= 3.2 when r=4, find the value of p when r= 6.5
Answers
Answer:
p is equal to 8.125
Step-by-step explanation:
Direct proportion formula : Y = kx ,k is constant
p = x = 3.2
r = y = 4
4 = k * 3.2
k = 4/3.2 = 1.25
y = 1.25x
Now, substitute x = 6.5 and find y.
y = 1.25 * 6.5 = 8.125
Hence p is equal to 8.125
What is the equation of a line that passes through the points (3, 6) and (8, 4)?
5
이
3
2
NI
y -
5 27
O을 사
0y름사
oy
Oy=-x+
2
24
o
2
36
Answers
Answer:
y= 7- 1/2.72x
Step-by-step explanation:
1. Graph your coordinates
2. Point down your y-intercept
3. Look for your slope
Note: the x of the equation doesn't have to be an exact answer
The equation of the line that passes through two points (3, 6) and (8, 4) is y = (-2/5)x + (36/5).
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Here:
(x₁, y₁) = (3, 6) and (x₂, y₂) = (8, 4)
m = (4 - 6) / (8 - 3) = -2 / 5
Now we can choose either point and plug in the values for x₁, y₁, and m to get the equation of the line:
y - y₁ = m(x - x₁)
y - 6 = (-2/5)(x - 3)
Simplifying the equation, we can write it in slope-intercept form:
y = (-2/5)x + (36/5)
Therefore, the equation is y = (-2/5)x + (36/5).
To learn more about the slope;
brainly.com/question/3605446
what number is in the hundred thousand place in 761,234
Answers
Answer:
7
Step-by-step explanation:
please give brainliest!!
Answer:
7 is the answer.
Elisabeth reads 1/5 of her book in
1 1/2 hours.
Elisabeth continues to read at this pace.
How long does it take Elisabeth to read 3/4 of the book?
Enter your answer as a mixed number in simplest form.
Answers
Answer:
= 165/8
Step-by-step explanation:
11/2hrs = 1/5
x = 3/4
then Cristcross
x = 33/7/1/5
x = 33/8 ×5
x= 165/8
The time taken by Elisabeth to read (3/4) of the book is 5 5/8 hours.
What is a Fraction?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.
As per the given data:
Elisabeth reads 1/5 of her book in 1 1/2 hours.
1 1/2 hours = (3/2) hours
Time taken by Elisabeth to read full book = 5 × (3/2) hours
= (15/2) hours
Time taken by Elisabeth to read (3/4) of the book = (3/4) × (15/2) hours
= (45/8) hours
Converting into mixed fraction in the simplest form:
(45/8) = 5 5/8 hours
Hence, the time taken by Elisabeth to read (3/4) of the book is 5 5/8 hours.
To learn more on Fraction, click:
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A line passes through the point (-9,-8) and has a slope of 4/3 . Write an equation in slope-intercept form for this line.
Answers
Answer:
y=4/3x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-8)=4/3(x-(-9))
y+8=4/3(x+9)
y=4/3x+36/3-8
y=4/3x+12-8
y=4/3x+4
45 pts i need helppp Select the correct row in the table.
Which row of the table reveals the y-intercept of function
х: -1, 0, 1, 2,3 f(x): 2 2/3, 2, 0, -6, -24
Answers
Answer:
The second one from the top (f(X)2)
Step-by-step explanation:
The y intercept is where X= 0 because that's where th y-axis is.
At y inetercept
The point is present over y axisSo x is 0Check 2nd row
x is 0That's y intercept
(0,2)
Write the equation of a function that passes through
these points.
Answers
to get the equation of any straight line, we simply need two points off of it, let's use the ones in the picture below.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{13}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{13}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y-9=2x-2\implies y=2x+7[/tex]
What is the value of s + 5t when s = 3 t = -2
Answers
Answer:
-7
Step-by-step explanation:
s + 5t
s = 3
t = -2
3+5(-2)
3-10
-7
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what is the value of x
Answers
Answer:
x=180
Step-by-step explanation:
The triangles are similar by AA, They both have a right angle and vertical angles are congruent.
[tex]\cfrac{90}{135} =\cfrac{120}{x} \\\\\cfrac{2}{3} =\cfrac{120}{x} \\\\2x*3(120)\\\\x=\cfrac{3(120)}{2} \\\\x=180[/tex]
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