Answer:
[tex]2x-5y=-40\\-5y = -40-2x\\y = \frac{-40}{-5}-\frac{2x}{-5} \\y = \frac{2x}{5}+8[/tex]
Slope of a line perpendicular is [tex]\frac{-5}{2}[/tex]
Step-by-step explanation:
Hey there!
The given equation is ; 2x - 5y = -40.
Or, 2x - 5y + 40 = 0
Slope of the equation is;
[tex]slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m = \frac{ - 2}{ - 5} [/tex]
[tex]m = \frac{2}{5} [/tex]
Therefore, the slope of equation is 2/5.
Now; For the perpendicular lines:
Slope of equation * slope of next line = -1
i.e M1*M2= -1
[tex] \frac{2}{5} \times m2 = - 1[/tex]
[tex]2 \: m2 = - 5[/tex]
[tex]m2 = \frac{ - 5}{2} [/tex]
Therefore, the slope of the line which is perpendicular line to 2x - 5y + 40= 0 is -5/2.
Hope it helps....
ABCD is a rectangle AB=2x+4 AD=4x-2 DC=3y BC=y solve for x and y
The values of x and y in the rectangle ABCD are 1 and 2 respectively.
Properties of a rectangleOpposite sides are equal.Opposite sides are parallel.
Therefore,
AB = DC
AD = BC
2x + 4 = 3y
4x - 2 = y
Hence,
2x - 3y = -4
4x - y = 2
multiply equation(i) by 2
4x - 6y = -8
4x - y = 2
-5y = - 10
y = -10 / -5
y = 2
Therefore,
2x - 3(2) = -4
2x - 6 = -4
2x = -4 + 6
2x = 2
x = 1
learn more on rectangle here: https://brainly.com/question/1580926
what is the domain and range of the function?
f(x) = (x – 3)
Answer:
Domain: (-infinite sign, infinity sign)
Range: (-infinite sign, infinity sign)
OR you can write it as {x|x ∊ R}
the R is real numbers
What equation is equivalent to x2 + 20x + 81 = -27? Can you show me how you got the answer please
The equivalent equation is x² + 20x = -102
Simplification of quadratic equationThe equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;
x² + 20x + 81 = -21
collect similar terms together
x² + 20x + 81 + 21 = 0
x² + 20x + 102 = 0
The equation can also be written as x² + 20x = -102
Thus, the equivalent equation is x² + 20x = -102
Learn more about simplification of quadratic equation here: https://brainly.com/question/1214333
A triangle has 2 angles that each measure 19)
What kind of triangle is it?
Oh, isosceles ulangle
OB. equiangular triangle
c. obtuse triangle
OD. right triangle
Answer:
isoceles
Step-by-step explanation:
because isosceles triangle have 2 sides with equal measurement and a same angle can be formed 1 or 3 times not 2 times.
Me ayudan pleas
59
53
5°
a =
Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table. Which form of transportation travels a greater distance per hour?
Train
Time (hours) Distance (miles)
2 90
3 135
6 270
Bus
A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 0) and (5, 300).
CLEAR CHECK
The train travels 5 miles more per hour than the bus.
The train travels 30 miles more per hour than the bus.
The bus travels 15 miles more per hour than the train.
The bus and train travel the same distance per hour.
Answer:
The bus travels 15 miles more per hour than the train
Step-by-step explanation:
If you look at the graph and how much the train goes per hour, it shows that in a less amount of time than the train the bus gets further. The only answer with the bus traveling further is 15 miles. Therefore, the bus travels 15 miles further per hour than the train!
3x−y=22y=x−14
Enter your answer in the box.
y =
Answer:
y= 2.1
Step-by-step explanation:
I use a Graphing Calculator called Desmos. I suggest you try it.
Ms. Donaldson earns $20.00 per hour for the first 40 hours she works in a week. She earns 1 and 1/2 times that amount per hour for each hour beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. How much money did she earn?
Answer:
Mrs. Donaldson earned 907.20 dollars.
Step-by-step explanation:
907.20
rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select ALL the measurememt pairs that could be the dimensions of Rectangle B.
A=6 cm by 1.5 cm
B=10cm by 2 cm
C=13 cm by 4 cm
D=18 cm by 4.5 cm
E=80 cm by 20cm
Answer:
a, d and e
Step-by-step explanation:
should be right hmu if wrong
The explicit formula for a sequence an = 5 – 7n . What is the value of a12?
Answer: its just 12 because a is just a variable
Step-by-step explanation: so like 5 - 7n its just 5 - 7 which in 2 so 12a is just 12
Answer:
-79
Step-by-step explanation:
an=5-7n This is the given equation
Now, we substitute 12 for n and do the equation
a(12)=5-7(12)
a(12)=5-84
a(12)=-79 This is our answer, negative 79
The mean number of boxes of cookies sold by
each girl scout in Emma's troop was 28 with a
standard deviation of 8. If Emma's z-score
was -1. 5, how many boxes of cookies did she
sell?
Answer:
149
Step-by-step explanation:
wow
Give the coordinates of each vertex (D, E, F) and explain how you found the coordinates using transformation rules.
Step-by-step explanation:
We have that the vertices of triangle ABC are:
A(4, 2)
B(7, 9)
C(7, 2)
First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:
A'(-4, 2)
B'(-7, 9)
C'(-7, 2)
Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:
D(-4, -3)
E(-7, 4)
F(-7, -3)
An expression is shown below.
Place a check next to each equivalent expression.
Answer:
a,d,e
Step-by-step explanation:
Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?
PLEASE HELP!!!
Answer:
The answer is C.
Step-by-step explanation:
Because rational numbers are part of the irrationals.
There are two major subsets of Real numbers which are rational numbers and irrational numbers
The correct option for the Venn diagram that correctly represents the relationship between rational numbers and irrational numbers is option A because;
A. Rational numbers and irrational numbers have no numbers in common
The reason the above selection is correct is as follows:
Rational numbers are denoted by the capital letter Q, and they can be represented by the ratio of two integers, a, and b, as follows;
[tex]Q = \mathbf{\dfrac{a}{b}}[/tex]
Where;
a, and b, are whole number integers
Rational numbers are one of the two major subsets of real numbers, R
Example of rational numbers are [tex]\dfrac{1}{2}[/tex], 0.85, and [tex]\dfrac{4}{1}[/tex] = 4
Therefore, integers are rational numbers
Irrational numbers: Irrational numbers are real numbers that are not rational numbers, and they are represented by the capital letter, I, they cannot be represented as the ratio of two integers a, and b
Example of irrational numbers are π, √2, and √3
Rational numbers and irrational numbers are different subsets of Real numbers and they have no element in common, therefore, the correct option is option A
Learn more about rational numbers here:
https://brainly.com/question/12606259
I need help PLEASE EXPLAIN how you get the answer (extra points)
Answer:
C
Step-by-step explanation:
C bc it goes through the 0... none of the others do.
The dimensions of this figure are changed so that the new surface area is exactly 1/4 what it was originally.
Step-by-step explanation:
I assume the changes to the dimensions were made by using the same factor for each dimension, right ?
so, what do we need to do or calculate ? what is the desired result ?
the surface areas ? the new dimensions ? the volume ?
or only the factor of how much the dimensions changed, when the surface area was changed to 1/4 ?
????
I assume the last one, because there is so little information about what to do.
the surface area is calculated based on the areas of the various rectangles in the surface of the object.
each rectangle area is the result of multiplying 2 dimensions.
as the whole surface area shrinks by the factor 1/4, it means that every rectangle on the surface also shrinks by the factor 1/4.
and this factor 1/4 is the result of multiplying 2 dimensions. each dimension was changed by multiplying it with the same factor as every other dimension.
so, factor×factor = 1/4
factor² = 1/4
factor = sqrt(1/4) = 1/2
so, yes, in order to shrink the surface area to 1/4 of the original size, all the dimensions need to be cut in half (multiplied by 1/2).
find the area of this parallelogram.
Answer:
168 y²
Step-by-step explanation:
Area of a parallelogram: base x height
In this case:
base = 14
height = 12
14 x 12 = 168
Jahnay is following this recipe to make cakes.
Jahnay uses 960 g of flour.
How many cakes is Jahnay making?
Recipe: Makes 1 Cake
80 g sugar
120 g butter
240 g flour
3 eggs
Answer:
4
Step-by-step explanation:
960/240 equals 4
8x+5y=-13, 3x+4y=10 solve by elimination
8x+5y=-13
3x+4y=10
*4 on top
*5 on buttom
32x + 20y = - 52
15x + 20y = 50
subtraction
32x - 15x = - 52 - 50
17x = - 102
x = - 6
and then
3 * (-6) + 4y = 10
4y = 28
y = 7
How do you write 35.4 in scientific notation?
Answer:
3.54x10^1
Step-by-step explanation:
What’s the answer thx
please help???????? ASAP
Answer:
The answer is 9
Step-by-step explanation:
You each exponent to get 81/9. You simplify and it gives you 9.
Answer:
The answer is 9
Step-by-step explanation:
if u multiply by the exponents
3^4=81
3^2=9
then divide 81÷9=9
find mistake I will give brainlist
what is 150% of 48???
Answer:
What is 150 percent of 48? = 72
Step-by-step explanation:
= 150 percent *48
= ( 150/100)*48
= ( 150*48)/100
= 7200/100
= 72
find x in the image below
Check the picture below.
Kendra bought 10 gallons of gasoline at $3.26 per gallon.
How much did she pay for the gasoline?
Answer:
Kendra paid $32.60 for gas.
Step-by-step explanation:
If the price of one gallon of gas is $3.26, then we should multiply that price by 10 gallons:
[tex]10(3.26)=32.6[/tex]
In context, that is a total of $32.60.
Answer: $32.60
Step-by-step explanation:
Price per gallon: $3.26
amount of gas: 10 gallons
3.26 dollars times 10 gallons = $32.60 total
The Cooking Club made some pies to sell during lunch to raise money for a field
trip. The cafeteria helped by donating
four pies to the club. Each pie was then
cut into seven pieces and sold. There
were a total of 63 pieces to sell. How
many pies did the club make?
W-2=-3
3
Ow=-
2
Ow=-5
Ow=-1
Ow=6
Answer:
Can I get equation for this too?
Step-by-step explanation:
eric has a department store coupon worth $15 off the purchase of any men's shoes. at the same time men's shoes are offered with a discount of 1/5 off the original price, but no further discounts may be applied. for what price of shoes does eric pay the same amount for each discount?
Answer:
answer c part
Step-by-step explanation:
please make me brainlist
Help please im not good at math
Answer:
the estimated quotient is 60
Step-by-step explanation: please mark me brainlest