use substitution method (y = 2x-10 (2y=x-8
Answer:
(4, -2)
Step-by-step explanation:
Use the expression for y given by the first equation to substitute for y in the second equation.
2(2x -10) = x -8 . . . substitute for y
4x -20 = x -8 . . . . . eliminate parentheses
3x = 12 . . . . . . . . add 20-x
x = 4 . . . . . . . . .divide by 3
y = 2(4) -10 = -2 . . . substitute for x in the first equation
The solution is (x, y) = (4, -2).
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
We've been given to find out the values of x & y from the two given linear equations by substitution method.
Here we have,
y = 2x - 10 - - - - - (1) 2y = x - 8 - - - - - (2)As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,
[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]
[tex]:\implies\tt{4x - 20 = x - 8}[/tex]
[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]
[tex]:\implies\tt{3x = 12}[/tex]
[tex]:\implies\tt{x = \frac{12}{3} }[/tex]
[tex]:\implies\tt{x = 4}[/tex]
Placing x = 4 in equation (1) we get,
[tex]:\implies\tt{y = 2x - 10}[/tex]
[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]
[tex]:\implies\tt{y = 8 - 10}[/tex]
[tex]:\implies\tt{y = - 2}[/tex]
The solution of the given system for linear equation is (x,y) = (4,-2)
A circular fish pond is shown below. What
is the circumference of the pond? The radius is 18.5cm
Answer:
about 116.18
Step-by-step explanation:
Circumference is 2PI*radius
So it should equal 37*3.14 which equals about 116.18
how much coffee is in the cup, it the cup if 7 feet by 7 feet, and 1 cubic foot = 7.48052
How much coffee in the cup, please show how you did it with pi, volume radius etc.
Answer:
the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot
211.55 x 7.48052 =1583.36 gallons.
Step-by-step explanation:
HALPPPPP :(((((((((((
Answer: 5
Explanation: 12(3) - 3(1/3)/4(3)-5
= 36-1/12-5
= 35/7
= 5
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
what figure is a rotation of figure
Answer:
b
Step-by-step explanation:
what grade?
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan? a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. c. Chuy will save more than he needs and will meet his goal in less than 27 weeks. d. There is not enough information given to make a conclusion about Chuy's plan. Please select the best answer from the choices provided A B C D
Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.
Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.
440/8 = $55.
This means $55 is the amount of money Chuy saves every week.
Multiply $55 by the number of weeks Chuy plans to save money, 27.
55 x 27 = 1,485.
Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.
5x-15y=-20, 5x-4y=-9 systems of equations (elimination)
Answer:
(- 1, 1 )
Step-by-step explanation:
5x - 15y = - 20 → (1)
5x - 4y = - 9 → (2)
Multiplying (2) by - 1 and adding to (1) will eliminate the x- term
- 5x + 4y = 9 → (3)
Add (1) and (3) term by term to eliminate x
0 - 11y = - 11
- 11y = - 11 ( divide both sides by - 11 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
5x - 15(1) = - 20
5x - 15 = - 20 ( add 15 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
solution is (- 1, 1 )
NEED HELP PLEASE!!!!!!!
What is the image of the point (−7,−3) after a rotation of 9 0 ∘ counterclockwise about the origin?
It is best to use graph paper to visualise. A(-7, 9) is in 2nd quadrant, rotating 90 CCW brings the point in the 3rd quadrant to (-9, -7)
in general P (a, b) CCW P’(-b,a)
abebe is 12 years old and his sister aster is 2 years old. In how years abebe be exactly twice as old as aster
Answer:
8 years
Step-by-step explanation:
Currently
Abebe → 12 years old
Aster → 2 years
With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.
Difference in ages
= 12 -2
= 10
Let the age of Aster be x years old when Abebe is twice her age.
Abebe → 2x years old
Aster → x years old
Difference in age
= 2x -x
= x
x= 10
Aster is 10 years old when Abebe is twice her age.
Number of years passed
= 10 -2
= 8
Thus, Abebe will be twice as old as her sister in 8 years.
Answer number 7: Only number 7 please.
Answer:
C -7, 3
Step-by-step explanation:
Answer:
A (7, 3).
Step-by-step explanation:
( -7, -3) reflected over the x axis goes to the point (-7, 3)
(-7, 3) reflected across the y axis goes to (7, 3).
Evaluate –3ab when a = –2 and b = 5.
Answer:
30
Step-by-step explanation:
Evaluate –3ab when a = –2 and b = 5.
-3ab = -3(-2)(5)
-3(-10)
; (-)×(-) = +
30
Answer:
-30
Step-by-step explanation:
-3ab original equation
-3(-2)(-5) . plug in numerical values
6(-5) . -3 times -2 is 6
-30 . 6 times -5 is -30.
John has decided to get in shape for the new year. He is planning to joining the local fitness club. The fitness club charges customers a $14.95 monthly fee plus a one time joining fee $110.00.
What is the total cost John will pay for a 12-month membership at the fitness club?
Consider the numbers 54.162 and 5,416.2. Which statements accurately reflect the relationship between the "6" in each number?
Select two (2) that apply.
The 6 in 54.162 has a greater value than the 6 in 5,416.2
The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
a
The value of the 6 in 5,416.2 is 10 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 10 times greater than the value of the 6 in 5, 416.2.
The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 100 times greater than the value of the 6 in 5,416.2.
Answer:
1) The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
2) The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
Step-by-step explanation:
1) 0.06 times 100 equals 6
2) 0.06 < 6
Assigned seating forever! Ms. Clore has 28 desks in
her classroom. She numbers the desks from 1 to 28.
On the first day of class, Ms. Clore places identical
slips of paper numbered 1 to 28 in a hat. Each of the
28 students in her statistics class draws a slip from the
hat upon entering the classroom to determine his or
her assigned seat. How many possible seating assign-
ments are there?
Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
The number of possible arrangements of n elements is given by the arrangement formula, as follows:
[tex]A_n = n![/tex]
It is used when n elements are arranged in n positions.In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:
[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]
Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
You can learn more about the arrangement formula at https://brainly.com/question/24648661
Challenge Question: A(1, 5), B(5, 2), C(-1, 2) PLZ ANSWER ASAP
Translate 3 units left, 4 units down
Reflect over y - axis
Dilate with a scale factor of 1.5
Rotate 90 degrees C.C about the origin.
Answer: the
Step-by-step explanation: your so broke you cant even afford lunch
PLEASE HELP
In 2010, the population of a city was 167,000. From 2010 to 2015, the population grew by 6.3%. From 2015 to 2020, it fell by 4.6%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Answer:
1%
Step-by-step explanation:
At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?
Answer:
The temperature decreased by 43 degrees
-43
Step-by-step explanation:
Difference means subtraction
37 - (-6) = -43
I hope this helps!
Complete all 10 problems
Answer:
11. 10+2r 12.-7v+7 13.1-2b 14. 5n+10 15. 12v 16.-12n 17. 0 18. -4n+10 19. 5b+9 20. 5v-8
Step-by-step explanation:
Sorry I don't have much time. I'll just send you a tip
If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.
You're lucky because I just answered this. Thanks!
:)
A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5
Ratio: 2/23 : 1/x
x is $11.5
So 1 pound of jelly beans cost $11.5
3/17 : 1/x
x is 5.67
So 1 pound of almonds cost $5.67
Answer:
Jellybeans are $2.25 per pound
Almonds are $1.25 per pound
Step-by-step explanation:
Let x = jelly beans Let y = almonds
Equation 1
5x + 3y = 15
Equation 2
2x + 6y = 12
Multiply Equation 1 by negative 2 to give
-10x - 6y = -30
Add this to Equation 2 to eliminate y
-10x - 6y = -30 2x + 6y = 12
The y is eliminated leaving
-8x = -18
Divide both sides by negative 8 to give
x = 2.25
Substitute this value back into Equation 2 to solve for y
2x + 6y = 12 2(2.25) + 6y =12 . 4.50 + 6y = 12
Subtract 4.50 from both sides of the equation to give
6y = 7.50
Divide both sides by 6 to solve for y
y = 7.50/6
y= 1.25
Identify the dotted lines as an angle bisector, perpendicular bisector, or a median
Answer:
perpendicular bisectorangle bisectoraltitudemedianStep-by-step explanation:
In each case, "how do you know" is answered by comparing the line to the definitions of the various types of lines.
1. perpendicular bisector -- a perpendicular segment that divides the base into two equal parts
__
2. angle bisector -- divides the vertex angle into two equal parts
__
3. altitude -- a line from the opposite vertex perpendicular to the side
__
4. median -- a line from the opposite vertex to the midpoint of the side
write in point slope form an equation of the line that passes through point (6,5) with slope 3
Answer:
y - 5 = 3(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 3 and (6, 5 ) a point on the line , then
y - 5 = 3(x - 6) ← equation of line
Given h(x)=-3x-4h(x)=−3x−4, find h(0)
Answer:
h(0) = -4
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
h(x) = -3x -4
h(0) = -3·0 -4 = 0 -4
h(0) = -4
_____
Additional comment
In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.
solve 3x/7= 1/2
pls show working out thanks <3
Consider a box weighing one pound. Five statues are in the box. The total weight is 36 pounds. How much does each statue weigh?
Answer:
7 Pounds
Step-by-step explanation:
36 pounds - 1 pound= 35 pounds
The 5 statues weigh 35 pounds.
35 pounds ÷ 5 statues= 7 pounds
Each statue weighs 7 Pounds
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answer:
4
Step-by-step explanation:
Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.
hope this helps!
F(x)=-2x+4 g(x)= -2x^3 -3
find f(4) and g(-3)
simplify as much as possible
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answer:
20%
43*0.8=34.4
Hope This Helps!!!
can someone please help me with this one? I’ve been stuck on it for ages! Tysm if you do!! I appreciate it!
Answer:
50
110
90
=250
Step-by-step explanation: 90+50+110
I HOPE THIS HELPS