Given:
The equations are
[tex]2x+5y=0[/tex]
[tex]3x-4y=23[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]2x+5y=0[/tex] ...(i)
[tex]3x-4y=23[/tex] ...(ii)
From (i), we get
[tex]2x=-5y[/tex]
[tex]x=-\dfrac{5y}{2}[/tex] ...(iii)
Putting this value in (ii), we get
[tex]3(-\dfrac{5y}{2})-4y=23[/tex]
[tex]-\dfrac{15y}{2}-4y=23[/tex]
[tex]\dfrac{-15y-8y}{2}=23[/tex]
[tex]-23y=2\times 23[/tex]
[tex]y=\dfrac{46}{-23}[/tex]
[tex]y=-2[/tex]
Putting y=-2 in (iii), we get
[tex]x=-\dfrac{5(-2)}{2}[/tex]
[tex]x=-\dfrac{-10}{2}[/tex]
[tex]x=\dfrac{10}{2}[/tex]
[tex]x=5[/tex]
Therefore, the solution of given system of equation is (5,-2).
Find the determinant of the matrix. Expand by cofactors on the row or column that appears to make the computations easiest.
Answer:
-44
Step-by-step explanation:
[tex]A=-2*11*2=-44[/tex]
If 2d + 10 = 50, what does d equal?
Answer:
d = 20
Step-by-step explanation:
2d + 10 = 50 ( subtract 10 from both sides )
2d = 40 ( divide both sides by 2 )
d = 20
Answer:d=20
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
2d+10−10=50−10
2d=40
Step 2: Divide both sides by 2.
2/d=40/2
d=20
The area ofa rhombus is 240 cm and one of the diagonals is 16 cm. Find
diagona
Answer:
d1=16
1/2×d1×d2=240cm²
1/2×16×d2=240
d2=240/8=30cm
the another diagonal is 30 cm
Which phrase correctly represents the algebraic expression for 22-n?
A.) A number decreased by twenty-two
B.) The total of twenty two and a number
C.) The difference of two and a number
C.)Twenty-two decreased by a number
Answer:
D
Step-by-step explanation:
Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
OA. It is the graph of y = x translated 13 units to the left.
OB.
It is the graph of y = x translated 13 units to the right.
OC.
It is the graph of y = x translated 13 units up.
OD. It is the graph of y = x where the slope is decreased by 13.
Answer:
The translation corresponds to a translation of 13 units to the right
Step-by-step explanation:
Translation of a Graph
If the graph of
y=f(x) is translated a units horizontally, then the equation of the translated graph is
y =f(x - a)
The value of a is considered positive for translations to the right.
The parent function is
y = x
and the given function is
y = x - 13
The translation corresponds to a translation of 13 units to the right
Help me with this thxx
Answer:
7
Step-by-step explanation:
those
2/4 times 1/4 = m
IN SIMPLEST FORM
Answer:
Step-by-step explanation:
2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8
Answer:
1/8
Step-by-step explanation:
2/4 times 1/4 is 0.125, which as a fraction is 1/8
4
2x−11
−
10
(3x−2)
Answer:
NaNx10^-15
Step-by-step explanation:
sorry did not know you wanted it in standard form before
0.5(24x - 10) what is the expression
Answer:
12x-5
Step-by-step explanation:
what is the appoximate distance between points d and e round your answer to the nearest hundreth
When you flip a biased coin the probability of getting a tail is 0.43. Find the probability of getting a head.
Answer:
P (getting a head is) = 0.57.
Step-by-step explanation:
The maximum for a probability is 1.
We know that a coin has only 2 sides, either head or tail.
The probability of getting a tail is 0.43 (given).
So, the probability of getting a head is = 1.00 - 0.43 = 0.57.
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
in a sequence 25,22,19,16 what's the formula for the nth term
Answer:
x minus 3
is the formula to this question
Answer:
Step-by-step explanation:
Nth term of the given A.P is
here a=25 and d=-3
so Tn=a+(n-1) d
=25+(n-1)-3
=25-3n+3
=28-3n
THIS IS THE Nth TERM
if anyone helps me with 1-6 you will get brainliest, 5 stars, and a thank you :D
Answer:
1=1.5
2=.75
3=2.3
4=3.5
5=4
6=.75
Step-by-step explanation:
Answer:
1. 1.5
2 0.75
3 3.3
4 3.5
5 4
6 0.75
Please note that just insert the proper units from the problem.
Step-by-step explanation:
Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -1
Answer:
[tex]y = - 4x - 1[/tex]
Step-by-step explanation:
The standard equation for slope intercept form is
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
plug -4 as m and -1 as the y intercept
[tex]y = - 4x - 1[/tex]
HELP
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
4, 20, 100
Answer:
Step-by-step explanation:
a₂ - a₁ = 20 - 4 = 16
a₃ - a₂ = 100 - 16 = 84
Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.
a₂/a₁ = 20/4 = 5
a₃/a₂ = 100/20 = 5
Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.
From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 27 kilometers, and the eastbound train has traveled 36 kilometers. How far apart are the two trains, measured in a straight line?
The square of x varies directly as the cube of y. When x = 2, and
y = 4, find y when x = 8.
Answer:
y = 16
Step-by-step explanation:
PLS TELL ME WHAT THE LETTERS ARE FOR BRAINYLEST AWNSER
Answer:
#1 : x= -16.5
#2 : x= 3.6
#3 : x= -75
#4 : x= 10 1/3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope it helps :)
Please mark me brainlist!
What is the slope of the function?
Answer:
-4
Step-by-step explanation:
as x goes up one y goes down 4
slope is change in y over change in x
-4/1=-4
The slope of the linear function represented by the table is -6.
To find the slope of the linear function represented by the table, we can use the formula for slope:
Slope (m) = (change in y) / (change in x)
Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):
(change in y) = -16 - 2 = -18
(change in x) = 2 - (-1) = 3
Slope (m) = (-18) / (3) = -6
Therefore, the slope of the linear function represented by the table is -6.
To know more about linear function:
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Malik starts a job at which his starting salary is
$25,500 per year. He expects that his salary will
increase by a constant dollar amount annually. In
12 years, his salary will be double his starting salary.
Assuming salary increases take place only at the
end of a full year, how many years must Malik wait
until his salary is at least $40,000 annually?
9514 1404 393
Answer:
7 years
Step-by-step explanation:
Malik's salary grows 25,500 in 12 years, so at the rate of ...
$25,500/(12 yr) = $2125/yr
To get his salary up to 40,000, it must grow by ...
40,000 -25,500 = 14,500
To grow that much will take ...
$14,500/($2125/yr) ≈ 6.82 yr
Malik must wait 7 years until his salary is at least $40,000.
_____
At the end of the 7th year, Malik's salary will be raised to ...
$25,500 + 7·2,125 = $40,375
PLEASE HELP ME QUICK I WILL CROWN BRAINLIEST
Answer:400
x-85=315
Step-by-step explanation:
x-85=315 so then you add 85 to both sides and get x=400
BRAINLIEST AND 10 POINTS
When the Justices of the Supreme Court assemble to go on the Bench each day, each Justice shakes hands with each of the other Justices for a total of 36 handshakes.The total number of handshakes (h) possible for n people is given by the formula below. Write and solve an equation to determine the number of Justices on the Supreme Court.
Answer:
use the link but its answer D.
Step-by-step explanation:
(-2x²- 4x + 2) - (-6x + 2)
Answer:
(-2x²- 4x + 2) - (-6x + 2) = -2x²+ 2x
Step-by-step explanation:
(-2x²- 4x + 2) - (-6x + 2)=
= -2x²- 4x + 2 + 6x - 2 =
= -2x²+ 2x
17. If a triangle has sides of 21 and 36, what is the range for the shortest side?
The base of a triangular tent has angles of 45 degrees and 75 degrees. What is the measurement of the third angle?
A. 45
B. 75
C. 180
D. 60
Answer:i think its 180
Step-by-step explanation:
7. Find the measure of each
marted angle
Answer:
X=7 TRY THAT
Step-by-step explanation:
Can someone help please
Answer:
YES
Step-by-step explanation:
If 4 is a root of the quadratic equation
x² - bx - 22 = 0
a. Find the value of b
b. Find the other root
Answer:
Step-by-step explanation:
x²-bx-22=0
put x=4
4²-4b-22=0
16-4b-22=0
-4b-6=0
2b+3=0
b=-3/2
x²-3/2x-22=0
2x²-3x-44=0
2x²-11x+8x-44=0
x(2x-11)-4(2x-11)=0
(2x-11)(x-4)
roots are 11/2,4
The required value of the b is -3/2, and another root of the given equation is -11/2.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x² - bx - 22 = 0
As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2
x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0
root are,
x = 4 and -11/2
Thus, the required value of the b is -3/2, and another root of the given equation is -11/2.
Learn more about simplification here:
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Which line represents the direct variation equation y= 1/2x?
line a
line d
line c
line b
Answer:
Answer Expert Verified y = (slope) x + (y-intercept) . Right away, you know that this line goes through the origin ...