Answer:
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}2x+1y+2z&=&13\\1x+1y-2z&=&8\\1x+2y+1z&=&11\\\end{array}\right.\\\\\\\Delta=\left| \begin{array}{ccc}2&1&2\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\0&\frac{1}{2}&-3\\0&1&3\end{array}\right| =2*(\frac{3}{2}+3)=9\\\\[/tex]
[tex]\Delta_1=\left| \begin{array}{ccc}13&1&2\\8&1&-2\\11&2&1\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\8&1&-2\\\frac{11}{2}& 1&\frac{1}{2}\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\-5&0&-4\\\frac{-5}{2}& 0&\frac{5}{2}\end{array}\right| \\\\=2*(-1)*(\frac{-25}{2}-\frac{20}{2}) =45\\[/tex]
[tex]\Delta_2=\left| \begin{array}{ccc}2&13&2\\1&8&-2\\1&11&1\end{array}\right| \\\\\\=\left| \begin{array}{ccc}3&21&0\\3&30&0\\1&11&1\end{array}\right| \\\\\\=1*(90-63) =27\\[/tex]
[tex]\Delta_3=\left| \begin{array}{ccc}2&1&13\\1&1&8\\1&2&11\end{array}\right| \\\\\\=\left| \begin{array}{ccc}0&-1&-3\\0&-1&-3\\1&2&11\end{array}\right| \\\\\\=0\\[/tex]
[tex]\left\{\begin{array}{ccc}x=\dfrac{\Delta_1}{\Delta}=\dfrac{45}{9}=5\\\\y=\dfrac{\Delta_2}{\Delta}=\dfrac{27}{9}=3\\\\z=\dfrac{\Delta_3}{\Delta}=\dfrac{0}{9}=0\\\end{array}\right.[/tex]
What statement is true about these two triangles?
Answer:
Step-by-step explanation:
c
pleasee help me answer dis question, will mark brainliests, just question 7 & 9
Answer:
-16
Step-by-step explanation:
7)
y= mc+c ------gradient formula
y: y-intercept
m: gradient
c: y-axis
y= -2(6)+(-4)
= -12-4
= -16
Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)
Answer:
take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates
Step-by-step explanation:
can someone help me with this ?
Answer:
The answer is 14.28cm
What is Slope=2, y-intercept =5
y = 2x + 5
x= -3 , y= -11x= -2 , y= -9x= -1 , y= -7x= 0 , y= 5x= 1 , y= 7x= 2 , y= 9x= 3 , y= 13
If mZEDH = 73 and mZDHE = 85° in the diagram below, what is mZHEF? O 338 O 22 O 158 202
Answer:
338
Step-by-step explanation:
ok
Which describes the process that could be used as the first step in solving this equation? 6x = 4 + 5(x + 8) A) Combine like terms by adding 4 + 5. B) Use distributive property to multiply 5(x + 8). C) Use division property of equality to divide both sides of the equation by 6. D) Use subtraction property of equality to subtract 6x from both sides of the equation.
Answer: B) Use distributive property to multiply 5(x + 8).
Step-by-step explanation:
trust me its right
The first step in solving this equation 6x = 4 + 5(x + 8) is,
⇒ Use distributive property to multiply 5(x + 8).
Option B is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 6x = 4 + 5(x + 8)
Now, We can solve the expression as;
⇒ 6x = 4 + 5(x + 8)
⇒ 6x = 4 + 5x + 40
⇒ 6x - 5x = 44
⇒ x = 44
Thus, The first step in solving this equation is,
⇒ Use distributive property to multiply 5(x + 8).
Learn more about the mathematical expression visit:
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Genese Girer Gervis just hard the gossip about the latest scandal. He wants to make sure his fifteen buddies leam the gorp as quickly as possible. All the gossiping must take place by telephone, and every telephone conversation lasts an hour. How long will it take for all of Gervis's buddies to learn about the scandal?
35n^2+371n+882. Factor
Answer:
7(x+7)(5x+18)
Step-by-step explanation:
Answer:
factors are (5n + 8)(n + 7)
Step-by-step explanation:
[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]
3a + 2b = 17, b = 4a - 30
Help please. Domain ASAP
Answer:
x ≥ -1
Step-by-step explanation:
The domain is all the possible x-values of the function.
Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.
So x is greater than or equal to -1.
x ≥ -1
Find the greatest commonFoctor for these
numbers 18, 42, 96
Answer:
The greatest common factor for 18,42 and 96 is 6.
Step-by-step explanation:
6 X 3 = 18
6 X 7 = 42
6 X 16 = 96
making 6 your largest common factor.
please answer this correctly dont answer it wrong please:):):):)
Answer:
the difference is £0.3 because I have calculated 25% of £1.20 and got£0.3 meaning the Doughnuts at the second shop costs £1.5 which is the sum of 25% of £1.2 and £1.2 and the difference between£1.5 and £1.2 is £0.3
The area of triangle ABC is
square units.
Answer: Area = 17.5 unit²
Concept:
Here, we need to know how to calculate the area of a triangle.
Area (triangle) = b · h · (1/2)
b = base
h = height
Solve:
Given information (By counting grids on the graph)
b (AB) = 7
h (BC) = 5
Given expression
Area = b · h · (1/2)
Substitute values into the expression
Area = (7) · (5) · (1/2)
Simplify by multiplication
Area = (35) · (1/2)
Area = [tex]\boxed{17.5}[/tex]
Hope this helps!! :)
Please let me know if you have any quesitons
What is the solution to this system of equations using the linear combination method?
Please help!!
Answer:
x= -3, y= 13
Step-by-step explanation:
The idea is that x and y in both equations are the same numbers and that the equations are like rules that need to be followed both in the same time.
We take the y from one equation and use it in the other equation because is the same y .
3x+y =4 , subtract 3x from both sides
y= -3x+4
2x+y =7 , substitute y with the y = -3x+4 from the first equation
2x -3x+4 = 7, subtract 4 from both sides
2x-3x = 7-4, combine like terms
-x = 3 so x = -3
We know that x= -3 so we can substitute it in y= -3x+4 to find y
y= -3x+4
y= -3 (-3) +4
y= 9+4 = 13
y= 13
find the cube root of 5832
Answer:
18
hope it helps
1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained
9514 1404 393
Answer:
254Step-by-step explanation:
The prime factorization of 1458 is ...
1458 = 2·3^6
The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.
√(2·1458) = √2916 = 54
Multiplying by 2 will give the square of 54.
how do you find x the problem is 9x = -22
Answer:
x = -22/9 or, x = -2.44 in decimal form
Step-by-step explanation:
9x = -22
/9 /9 (divide both sides by 9)
-------------
x = -22/9 (when converted to decimal form, you get x = -2.44)
Expand and simplify 5)3x+2)-2(4x-1)
Answer:
It is 7x + 12
Step-by-step explanation:
[tex]5(3x + 2) - 2(4x - 1)[/tex]
open brackets:
[tex] = 15x + 10 - 8x + 2[/tex]
group like terms together:
[tex] = (15x - 8x) + (10 + 2)[/tex]
factorise out x :
[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]
find the complement of the B in universe U. U is the set of natural numbers less than or equal to 8. B is the set of even factors of 8.
Answer:
{1,3,5,6,7,8}
Step-by-step explanation:
U={1,2,3,4,5,6,7,8}
B={2,4}
B is even factors so you won't start with one
The complement of set B will be {1, 3, 5, 6, 7}
A set is an arrangement or collection of numbers. Given the universal sets:
Natural numbers are positive integers starting from 1. Hence the universal set will be:
U = {1, 2, 3, 4, 5, 6, 7, 8}
Factors of 8 are 1, 2, 4 and 8
Set of even factors of 8 will be 2, 4 and 8
B = {2, 4, 8}
Compliment of a set B are sets that are in the universal set but not in set B. Hence the complement of B will be {1, 3, 5, 6, 7}
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log(12), round to the nearest thousandths?
Answer:
1.079.
Step-by-step explanation:
Use ur calculator.
I AM SO CONFUSED HELP PLS
Answer:
x goes up 1 and f(x) is subtracting 3
Plz answer this is very important
The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?
Answer:
undefined
Step-by-step explanation:
4 - 9 = x - 2
-5 = x - 2
-3 = x
this is a vertical line (parallel to the y-axis) at x = -3.
that means the slope of this line is "undefined". or some would call it "infinite".
as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.
now the change of x for this line is constant 0.
so, we have a slope y/0, which is undefined.
A set of Numbers is shown below.
Answer: A
Step-by-step explanation:
Please Help I really need this to not get behind in my math class.
I would award more points but I fear people are just gonna answer with no actual answer and just for points….
Answer:
1. 12x+19
2.11x+16
3.54
4.3x+5x+8
Step-by-step explanation:
I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me
1) (3x-5)^2
2) (3xy-1/3)^2
1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?
Answer:
a. 3/4 b. 27
Step-by-step explanation:
We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.
Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.
For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.
75% of 36 = 36 * 0.75 = 27 plants aren't blooming.
The first person to answer this correctly gets Branilist!
Step-by-step explanation:
1)8x-2x=35-17
6x=18
x=18/6
x=3
2)7k-2k=-37-8
5k=-45
k=-45/5
k=-9
3)m-9m=-13-3
-8m=-16
8m=16
m=16/8
m=2
4)-4y+3y=12-6
-y=6
y=-6
5)6a-2a=-40
4a=-40
a=-40/4
a=-10
6)5w+2w=55+29
7w=84
w=84/7
w=12
7)5p-13p=-43+11
-8p=-32
8p=32
p=32/8
p=4
8)-c-5c=-2+50
-6c=48
c=-48/6
c=-8
Solve the following complex equation
18+22i=3x-2yi
Answer:
[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]