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x – y = 5
3x – 2y = 12
Please help will give 20 points
Answer:
[tex]{x,y} = {2,-3}[/tex]
Step-by-step explanation:
[tex]x - y = 5 \\\\[2] 3x - 2y = 12[/tex] <----------- Linear equations given
Graphic Representation of the Equations: PICTURE
[tex]y + x = 5 \\-2y + 3x = 12[/tex]
Solve by Substitution :
// Solve equation [1] for the variable [tex]x[/tex]
[tex][1] x = y + 5[/tex]
// Plug this in for variable [tex]x[/tex] in equation[tex][2][/tex]
[tex][2] 3*(y +5) - 2y = 12 \\ [2] y = -3[/tex]
// Solve equation [tex][2][/tex] for the variable [tex]y[/tex]
[tex][2] y = - 3[/tex]
// By now we know this much :
[tex]x = y+5 \\ y = -3[/tex]
// Use the y value to solve for [tex]x[/tex]
[tex]x = (-3)+5 = 2[/tex]
Solution :
[tex]{x,y} = {2,-3}[/tex]
Write an inequality that describes all the points that are more than 3 units from 5.
x>8 and x<2 are the two possible inequalities of |x - 5| > 3
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number
|x - 5| > 3
Now solve for x.
Suppose x - 5 is positive. Then
x - 5 > 3
x > 8
Suppose x - 5 is negative. Then |x - 5| = -(x - 5) = 5 - x
5-x>3
5-3>x
2>x
x<2
Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3
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I need help on doing this i don't really know how to do it. can someone help me?
also an explination
Step-by-step explanation:
x is the hypotenuse of the triangle.
to find x:
the sum of the square of the other two sides. ( a^2 + b^2 = x^2)
[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ \sqrt{ {x}^{2} } = \sqrt{841} \\ x = 29 \: yd[/tex]
Find the perimeter of the rectangle, in yards.
The perimeter of the rectangle in yards is; 46 1/3 yards
Perimeter of a RectangleThe perimeter of a rectangle is the sum of the lengths of all its sides as follows;
Width = 10 1/3Length = 12 5/6Perimeter of a rectangle = 2(width + length
P = 2(10 1/3 + 12 5/6)
P = 2(31/3 + 77/6)
P = 2(139/6)
P = 46 1/3 yards.
Therefore, the perimeter of the rectangle in yards is 46 1/3 yards
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Answer:
The perimeter of the rectangle in yards is; 46 1/3 yards
Perimeter of a Rectangle
The perimeter of a rectangle is the sum of the lengths of all its sides as follows;
Width = 10 1/3
Length = 12 5/6
Perimeter of a rectangle = 2(width + length
P = 2(10 1/3 + 12 5/6)
P = 2(31/3 + 77/6)
P = 2(139/6)
P = 46 1/3 yards.
Therefore, the perimeter of the rectangle in yards is 46 1/3 yards
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Step-by-step explanation:
find the value of x in the figure.
Answer:
50°
Step-by-step explanation:
The blue lines form a Right-angled triangle.
*Such triangles have one angle equal to 90°.*
*Property*
Sum of all angles in a triangle = 180°
To find :
Value of x – an angle of the right-angled triangle.
Solution:
==> 90 + 40 + x = 180
==> 130 + x = 180
isolating x
==> x = 180 - 130
==> x = 50°
Which shows the best way to estimate 553 ÷ 22?
Answer:
How many 22s can go in 553
Step-by-step explanation:
Please mark me as brainliest
work out the missing numbers:
a) 2.6 x ? = 2.86
b) ? x 1.2 = 1.8
Will make brainliest
Answer:
a) [tex]\sf x = 1.1[/tex] b) [tex]\sf x = 1.5[/tex]
solving steps:
a)
[tex]\sf 2.6 * x = 2.86[/tex]
[tex]\sf x = \frac{2.86}{2.6}[/tex]
[tex]\sf x = 1.1[/tex]
b)
[tex]\sf x * 1.2 = 1.8[/tex]
[tex]\sf x = \frac{1.8}{1.2}[/tex]
[tex]\sf x = 1.5[/tex]
help me please i dont get it :(
Answer:
d
Step-by-step explanation:
the square root of 121 is 11
the square root of 64 is 8
soooo
(11x+8y)(11x-8y) makes the most sense
Answer:
D. (11x + 8y) (11x - 8y)
Step-by-step explanation:
Step 1: Rewrite 121x² - 64y² as (11x)² - (8y)²
Step 2: The difference of squares can be factored using the rule:
a² - b² = (a - b) (a + b)
(11x - 8y) (11x + 8y)
or
you can write it as
(11x + 8y) (11x - 8y)
What is the value of the function when x=5 f(x) = x-5
Answer:
When x=5, f(x)=0
Step-by-step explanation:
[tex]f(x)=x-5\\\\f(5)=5-5\\\\f(5)=0[/tex]
Therefore, when x=5, f(x)=0
Answer:
f(x) = 0
Step-by-step explanation:
given that x = 5f(x) = x - 5 .......replace x with 5
→ 5 - 5
→ 0
Find the equation function represented by the table below: 0 1 1 3 2 9 3 27
Answer:
0-11+3u have to exp
Step-by-step explanation:
so whene the disiredble answer
Find the lower and upper bound for:
50 kg
measured
to the nearest
10 kg
Help, I don’t understand
Answer: -1
Step-by-step explanation: f(x) is another way of saying y. So when y is 3, according to the table, x is -1
what is the median and mode of 28,34,34,50,54 answer=
Answer:
Mean (Average):40
Median (Middle): 34
Mode (Most Common):34
Step-by-step explanation:
Is this all the numbers
Bear Valley already had 3 inches of snowcover when a snowstorm moved in. The storm is increasing the amount of snowcover by 1 inch per hour.
Write an equation that shows the relationship between the number of hours it has been snowing, x, and the total snowcover in inches, y.
Answer: x + 3
Step-by-step explanation:
help i give 5 stars and a crown
Answer:
See below.
Step-by-step explanation:
1a)
Angles:
48, 90, 90, a.Add:
48 + 90= 138 + 90= 228Subtract:
360 - 228= 132.Angle a: 132.
1b)
To get angle h above 180°, We need to add h + 164:
h + 164= 110 + 164= 274.h = 110.
This is how to get h over 180°.
A sample of college students were surveyed about whether they lived on or off campus. The results are displayed below.
Which of the following statements is false?
The largest percentage of students living on campus is in the 1st-year group.
As the number of years in college increases, the percentage of students living on campus increases.
As the number of years in college increases, the percentage of students living off campus increases.
The difference between percent of students living on or off campus decreases as number of years of college increases.
Answer:
A.
The largest percentage of students living on campus is in the 1st-year group
took the edge 2022
The False statement among all the given statement is b).
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Consider statement one by one :
a) The largest percentage of students living on campus is in the 1st-year group - True (as seen from the graph the on campus bar for 1st year is highest.)
b) As the number of years in college increases, the percentage of students living on campus increases - False ( students living on campus decreases by years passing )
c) As the number of years in college increases, the percentage of students living off campus increases - True
d) The difference between percent of students living on or off campus decreases as number of years of college increases - True
Therefore, the False statement among all the given statement is b).
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What is the measure of X?
108°
108°
2x
2x
72°
144
36
360°
Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies. The following table shows the imports and exports between each of these countries. All prices are given in millions of equivalent US dollars. Country of Origin Exporting to Amount ($ 2007-13-04-00-00_files/i0160000. Jpg1,000,000) Brazil Argentina 4,691 Brazil Ecuador 4,791 Brazil Venezuela 1,526 Argentina Brazil 1,881 Argentina Ecuador 1,971 Argentina Venezuela 2,153 Ecuador Brazil 3,106 Ecuador Argentina 3,672 Ecuador Venezuela 2,018 Venezuela Brazil 4,535 Venezuela Argentina 1,577 Venezuela Ecuador 1,871 If these four countries trade only within this group, what is the difference between the highest balance of trade and the lowest balance of trade? a. $6,221,000,000 b. $5,003,000,000 c. $3,772,000,000 d. $2,123,000,000.
For trade between countries of Brazil, Argentina, Ecuador, and Venezuela, the difference of the highest and lowest balance of trade is $500,300,000.
What is the data table?
Table is a way to represent the data of the two or more variable. To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies.
The following table shows the imports and exports between each of these countries.
All prices given in millions of equivalent US dollars.
The trade of all the countries can be calculated as,
Brazil Argentina 4,691, Brazil Ecuador 4,791, Brazil Venezuela 1,526
[tex]B=4,691 +4,791 +1,526 =11008\rm millon[/tex]
Argentina Brazil 1,881, Argentina Ecuador 1,971, Argentina Venezuela 2,153
[tex]A=1,881+1,971+2,153 \\A=6005\rm millon[/tex]
Ecuador Brazil 3,106 Ecuador Argentina 3,672 Ecuador Venezuela 2,018
[tex]E=3,106 +3,672 +2,018\\E=8796\rm million[/tex]
Venezuela Brazil 4,535 Venezuela Argentina 1,577 Venezuela Ecuador 1,871
[tex]V=4,535 +1,577 +1,871=7983\rm million[/tex]
The highest trade is for Brazil and lowest is for Argentina. The difference between two is,
[tex]d=11008-6005\\d=5003\rm million[/tex]
The difference between the highest balance of trade and the lowest balance of trade is $500,300,000.
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Answer:
A
Step-by-step explanation:
trust me my guy/girl
I need help on 25 please help none of my family members understand this part of math I have no older siblings so I am on my own when it comes to math this must be done this evening. Please I beg you someone please help me I’m desperate. Also please explain how you got to the answer .
Answer:
A=2
Step-by-step explanation:
6a+18a=6a+10a+16 (cancel equal terms)
18a=10a+16 (move variable to left)
18a-100a=16 (Collect like terms)
8a=16 (Divide both sides)
Hope This Helps :)
A = 2
Answer:
Step by step solution :
STEP
1
:
Equation at the end of step 1
(6a • (a + 3)) - (2a • (3a + 5) + 16) = 0
STEP
2
:
Equation at the end of step 2
6a • (a + 3) - (6a2 + 10a + 16) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
8a - 16 = 8 • (a - 2)
Equation at the end of step
4
:
8 • (a - 2) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : a-2 = 0
Add 2 to both sides of the equation :
a = 2
One solution was found :
a = 2
If d = 2, what is the value of ?
A.
1
B.
C.
4
D.
0
Answer:
2/4=0.5
A = 0.5
Step-by-step explanation:
763 Divided by 37 i need help be for 7:50 at feb 9
Answer:
4.4
Step-by-step explanation:
Answer:
20.621
Step-by-step explanation:
I used a calculator
Can someone help me please
Step-by-step explanation:
the general equation for a line is usually
y = ax + b
a is the slope (the inclination) of the line indicating how flat or steep (and up or down) the line goes. it is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and b is the y-intercept, the y value for x=0, the point, where the line intercepts the y-axis.
the origin is the point (0, 0).
that gives us the y-intercept (b) right away, as this is therefore clearly the point, where the line intercepts the y-axis. so, b = 0.
and going from (0, 0) to (-2, 10) we see
x changes by -2 (from 0 to -2).
y changes by +10 (from 0 to 10).
so, the slope is +10/-2 = -5.
and the line equation is
y = -5x
[tex]\huge \text{Hello there! :)}[/tex]
Answer:
[tex]y=-5x[/tex]
Step-by-step explanation:
Given that the equation of a line passes through the origin and the point (-2,10), we can get the equation of the line below.
The slope-intercept form of the equation of the line is given as;
[tex]y=mx+b[/tex]
where m = slope and y = intercept
The formula for the slope is given as
[tex]\frac{y^{2-yx^{1} } }{x^{2-x^{1} }}[/tex]
The given points are the origin are (0,0) and (-2, 10)
[tex]m=\frac{10~-~0}{-2~-0} =\frac{10}{-2} =-5[/tex]
Now use the point-slope formula to solve for the equation of the line.
[tex](y-y^{1})=m(x-x^{1})[/tex]
For this situation, we are given the slope of -5 and (-2,10)
[tex]y-10=-5(x-(-2))[/tex]
[tex]y-10=5x-10[/tex]
[tex]Y+5x=+10-10[/tex]
[tex]y+5x=0[/tex]
[tex]y=-5x[/tex]
Therefore, the Answer is [tex]y=-5x[/tex]
[tex]\huge \text{Thanks for useing brainly!}[/tex]
[tex]\huge \text{Hope this helps!}[/tex]
(07.01 MC)
Look at the figure below:
An image of a right triangle is shown with an angle labeled y.
If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°? (6 points)
Step-by-step explanation:
since I don't see a figure here, I have to use only the written information.
we need to remember :
tan(angle) = sin(angle) / cos(angle)
so, we have here
a/b = a/6 / cos(y) = a/(6×cos(y))
a×6×cos(y) = a×b
cos(y) = a×b / (a×6) = b/6
what is 2+2 please I need help I'm confused by it
Answer:
4
Step-by-step explanation:
2+2 you can take it simply as
1*2 + 1*2
or 2^2
or the (square root of 4)^2
all of these ways you get 4
Answer:
2+2=4.
How are you confused!
What is the value of this expression?
2.3· 23.623
Answer: 54.3329
Step-by-step explanation:
I need a lot of help this assignment is due in the next hour!
An annual bike race is 260 miles long. The distance between City A and City B is 31 miles. About how many times as long as the distance between the two cities is the bike race?
please answer A.S.A.P!!!
Answer:
about 8 times longer
Step-by-step explanation:
If the distance between city A and city B is 31 miles, and it's asking how much longer the total is, I'm assuming it's asking for an equation like [tex]\frac{260}{31}[/tex] which equals roughly 8 (8.39 rounded to the nearest thousandth).
Thanks
Step-by-step explanation:
Bike =260
distance between cities=31
260/31=8.38...
Write 6.38 times 10 to the power of -5 as a ordinary number
Answer:
0.0000638
Step-by-step explanation:
all you need to do is move the decimal point over 5 times but this will only work if your multiply by 10 and that it has a negative exponent
The number 6.38×10⁻⁵ written in ordinary form is 1/638000.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, A number in scientific form as 6.38×10⁻⁵.
Now, We know an exponent must be written as a positive value.
Therefore,
6.38×10⁻⁵.
= 1/ 6.38×10⁵.
Now, The ordinary form of the number is when we write without the exponent.
So,
1/ 6.38×10⁵ is,
= 1/638000.
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Provide the missing reasons for the proof.
Given: AB = CB
EB DB
Prove: ABC ~ EBD
Answer:
Number 1 is Given.
Number 2 is the corresponding parts theorem
AB and CB are similar
also EB and DB
Number 3 is SSA similarly theorem
Step-by-step explanation:
please help will give brainliest
Answer:
Step-by-step explanation:
j) (2g+9h-5)-(6g-4h+2); g=-2 ; h=5
(2*(-2)+9*5-5)-(6*(-2)-4*5+2)
(-4+45-5)-(-12-20+2)
36-(-32+2)
36-(-30)
36+30
66
Convert the fraction 4/5 to a decimal.
SHOW WORKING.
Answer:
The answer is 0.8
Step-by-step explanation:
[tex] \: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0[/tex]
Thus, The answer is 0.8
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