15 points
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
The slope of the line on the graph is - 2
How to determine the slope?The given parameter is the line on the graph
From the above graph, we have the following points
(x₁, y₁) = (0, 0)
(x₂, y₂) = (3, -6)
The slope of a line can be calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, -6)
Substitute the known values in the above equation
So, we have the following equation
Slope = (-6 - 0)/(3 -0)
Evaluate the quotient
Slope = -2
Hence, the slope is -2
Read more about slope at
https://brainly.com/question/3493733
#SPJ1
Related Questions
A triangle with vertices (−1, 1), (2,−1), and (3, 0) is translated using the rule (x,y)→(x+2, y−6). What are the coordinates of the image?
Answers
The coordinates are (1, -5),(4, -7) and (5, -6)
What is Translation?
In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more directions have been altered. There is no change in the shape because it is simply being moved from one location to another.
Given,
(−1, 1), (2,−1), and (3, 0)
The translation rule:
(x,y)→(x+2, y−6)
In the case (-1, 1):
(x, y)→(-1+2, 1−6)
(x, y)→(1, -5)
In case (2, -1):
(x,y)→(2+2, -1−6)
(x,y)→(4, -7)
In case (3,0):
(x,y)→(3+2, 0−6)
(x,y)→(5, −6)
Hence, The coordinates are (1, -5),(4, -7) and (5, -6)
To learn more about Translation click on the link
https://brainly.com/question/1046778
#SPJ9
Solve 2 + by = 32 3x + 4 for y y.
Answers
2 + (1/6) y = 3x + 4
Take the 2 from left to right side: (1/6)y = 3x + 4 - 2 = 3x + 2
y/6 = 3x + 2
Take the 6 dividing on the left to the righ side multiplying:
y = 6 (3x + 2) = 18x + 12
Answer:
y = 18x + 12
In a newspaper it was reported that yearly robberies in Springfield were up 6% to 265 in 2011 from 2010. How many robberies were there in Springfield in 2010?
Answers
The no. of robberies in 2010 was 4416 and in 2011 it grew up 6% (six percent) to 265 that is 4681 robberies.
What is Percentage?The value of the whole is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his math test if he received a 30%. When expressed as a ratio, it is written as 30:100 and as a fraction, 30/100.
An amount or part that is contained in each hundred is known as a percentage. The symbol "%" designates that it is a fraction with 100 as the denominator.
Lets assume the no. of robberies in 2010 be 100
We have given that by 2011 the robbers were upto 6% that is
106 robberies
the difference here is 106 - 100 = 6
When difference = 6, the robberies = 100
When difference = 1, the robberies = 100/6
When difference = 265 , the robberies = 100/6 × 265
= 4416
So, the no. of robberies in 2010 was 4416 and in 2011 it grew up 6% to 265 that is 4681 robberies.
Learn more about percentage
https://brainly.com/question/24877689
#SPJ13
2.1.9 An initial investment amount P, an annual interest rate r, and a time t are given. Find the future value of the monthly, (c) daily, and (d) continuously. Then find (e) the doubling time I for the given interest rate. P = $2500, r=3.95%, t = 8 yr a) The future value of the investment when interest is compounded annually is $ 3408.29 (Type an integer or a decimal. Round to the nearest cent as needed.) b) The future value of the investment when interest is compounded monthly is $ (Type an integer or a decimal. Round to the nearest cent as needed.)
Answers
When the interest is compounded monthly, we have to do two things:
- Calculate the number of periods: in this case we have 8*12=96 months.
[tex]8\text{years}\cdot12\text{ months/year}=96\text{ months}[/tex]- The monthly interest rate: we have to divide the annual nominal rate by 12 (the number of periods in the year).
[tex]\begin{gathered} r=3.95\text{ \%} \\ r_m=\frac{3.95}{12}=0.32917\text{ \%} \end{gathered}[/tex]Then, we can calculate the future value as:
[tex]\begin{gathered} FV=C(1+r_m)^m \\ FV=2,500\cdot(1+0.0032917)^{96}=2,500\cdot1.37091864=3,427.30 \end{gathered}[/tex]The future value when compounded monthly is $3,427.30.
General formula:
[tex]FV=PV\cdot(1+\frac{r}{m})^{m\cdot n}[/tex]m: number of subperiods (monthly --> m=12)
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Jimmy ran 20 meters west
from home and then turned
north to jog 25 meters. Jimmy
ran 45 meters, but could have
arrived at the same point by in
a straight line. How many
meters could he have using a
line distance?
A. 3.5 meters
B7 meters
C. 32 meters
D. 45 meters
Answers
Jimmy would've jogged 32.02m if he ran through a straight line by Pythagorean theorem.
What is Pythagorean theorem?
The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.This is written as a2 + b2 = c2 in the usual algebraic notation.We can proceed to use this to find the distance from point a to point b assuming he ran through a straight line.
Mathematically, the theorem can be expressed as
x² = y² + z²
Let's substitute the values into the equation and solve
x² = 20² + 25²
x = 32.02m
Jimmy would've jogged 32.02m if he ran through a straight line.
Learn more about Pythagorean Theorem
brainly.com/question/14930619
#SPJ13
A bakery can make 33 cheesecakes for every 3 blocks of cream cheese. Which table
represents the relationship between the number of cheesecakes the bakery makes and
the number of blocks of cream cheese the bakery uses?
Answers
Answer:
it would be A.
Step-by-step explanation:
Why? well, if you divide 33/the total number of cream cheese blocks (3) you get 11. so for every 11 cheesecakes made, one cream cheese block is used. :)
Find x and y . Approximate your answer to one decimal place. I used comma for decimal separation. A random variable X has as a range of values the values 1, 2 and 3 with probabilities P (X = 1) = 0.2, P (X = 2) = x, and P (X = 3) = y. If Var (X) = 0.29, then x = and y =
Answers
We have a random discrete variable X, that takes values 1, 2 and 3.
As the probabilities of all the sample space is equal to 1.
So then we can define x in function of y:
[tex]\begin{gathered} P(x=1)+P(x=2)+P(x=3)=1 \\ 0.2+x+y=1 \\ y=1-0.2-x \\ y=0.8-x \end{gathered}[/tex]We can start by calculating the mean of X as:
[tex]\begin{gathered} \mu=\sum ^3_{i\mathop=1}p_i\cdot x_i \\ \mu=0.2\cdot1+x\cdot2+y\cdot3 \\ \mu=0.2+2x+3(0.8-x) \\ \mu=0.2+2x+2.4-3x \\ \mu=2.6-x \end{gathered}[/tex]We can write the variance of X as:
[tex]\begin{gathered} \sigma^2=\sum ^3_{i\mathop=1}p_i\cdot(x_i-\mu)^2 \\ \sigma^2=0.2\cdot(1-(2.6-x))^2+x\cdot(2-(2.6-x))^2+(0.8-x)\cdot(3-(2.6-x))^2 \\ \sigma^2=0.2\cdot(x-1.6)^2+x\cdot(x-0.6)^2+(0.8-x)\cdot(x+0.4)^2 \\ \sigma^2=0.2\cdot(x^2-3.2x+2.56)+x\cdot(x^2-1.2x+0.36)+(0.8-x)(x^2+0.8x+0.16) \\ \sigma^2=0.2x^2-0.64x+0.512+x^3-1.2x^2+0.36x+0.8x^2+0.64x+0.128-x^3-0.8x^2-0.16x \\ \sigma^2=(1-1)x^3+(0.2-1.2+0.8-0.8)x^2+(-0.64+0.36+0.64-0.16)x+(0.512+0.128) \\ \sigma^2=-x^2+0.2x+0.64 \end{gathered}[/tex]As the variance, σ², is equal to 0.29, then we can find the possible values for x as:
[tex]\begin{gathered} \sigma^2=0.29 \\ -x^2+0.2x+0.64=0.29 \\ -x^2+0.2x+0.64-0.29=0 \\ -x^2+0.2x+0.35=0 \\ x^2-0.2x-0.35=0 \end{gathered}[/tex]We can find the roots of this equation as:
[tex]\begin{gathered} x=\frac{-(-0.2)\pm\sqrt[]{(-0.2)^2-4\cdot1\cdot(-0.35)}}{2\cdot1} \\ x=\frac{0.2\pm\sqrt[]{0.04+1.4}}{2} \\ x=\frac{0.2\pm\sqrt[]{1.44}}{2} \\ x=\frac{0.2\pm1.2}{2} \\ x_1=\frac{0.2-1.2}{2}=-\frac{1}{2}=-0.5 \\ x_2=\frac{0.2+1.2}{2}=\frac{1.4}{2}=0.7 \end{gathered}[/tex]The value of x = -0.5, as it is a probability, has to have a value of between 0 and 1, is not valid.
Then, the only valid value for x is x = 0.7.
We then can calculate y as:
[tex]y=0.8-x=0.8-0.7=0.1[/tex]Answer: x = 0.7 and y = 0.1
class A: 1,2,3,3,4,4,4,4,5,3find the interqwarta le range
Answers
Class: 1,2,3,3,4,4,4,4,5,3
First, order from lowest to highest
1,2,3,3,3,4,4,4,4,5
Median = (1,2,3,3) 3, 4,(,4,4,4,5) = (3+4)/2 = 3.5
Find the median of the first and last half:
Q1 = 1,2,3,3,3.5 = 3
Q3 = 3.5,4,4,4,5 = 4
Then for the interquartile: Q3- Q1 = 4 -3 = 1
Select all the equations that represent a line perpendicular to the line 3x - 2y = 10
Answers
All the equations of the family:
y = (-2/3)*x + c
Where c is a real number, are perpendicular to the linear equation 3x - 2y = 10
How we can find the perpendicular equations?A general linear equation is of the form:
y = m*x + b
Where m is the slope and b is the y-intercept.
Now, two linear equations are only perpendicular if the slope of one is equal to the inverse of the opposite of the other line's slope.
So, a line perpendicular to y = m*x + b is of the form:
y = (-1/m)*x + c
In this case, the given line is:
3x - 2y = 10
Writing this in slope-intercept form we get:
-2y = 10 - 3x
y = (10 - 3x)/-2
y = (3/2)*x - 5
So the slope of a perpendicular line will be: (-2/3)
Then any line of the form:
y = (-2/3)*x + c
Is perpendicular to the given line.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
The manager of a pizza restaurant recorded the total number of pizzas delivered after x weeks in this table. Which statement is true?
A. There was an increase of 83.5 pizzas each week from week 4 to week 6.
B. There was an increase of 34.5 pizzas each week from week 4 to week 6.
C. There was an increase of 50 pizzas each week from week 4 to week 6.
D. There was an increase of 28 pizzas each week from week 4 to week 6.
Answers
a) There was an increase of 83.5 pizzas each week from week 4 to week 6.
How to find the increase in pizza sales?Increase in no of pizzas from 4 to 5th week = 356 - 278 = 78
78 pizzas sales increased.
Increase in no of pizzas from 5 to 6th week = 445 - 356 = 89
89 pizzas sales increased.
On average = 78 + 89/2
= 167/2
= 83.5
Therefore,
There was an increase of 83.5 pizzas each week from week 4 to week 6.
To learn more about sales, refer
https://brainly.com/question/24951536
#SPJ13
Look at image!! Math question. Urgent. Pls answer
Answers
Convert 32cups into Gallon: 2gallon
There are 1200 persons in the throng that is 4 feet deep along ONE side of the roadway for a 300-yard stretch of a parade route.
Describe conversion.An amount that is multiplied or divided between one set of units and another is known as a conversion factor. If a conversion is necessary, it must be carried out with the right conversion factor to produce a value that is identical. For instance, 12 inches equals one foot when converting between inches and feet.
7)
Since, We know that
1 gallon = 16cups
Now, we have to convert 32cups into gallon
So,
1gallon = 16cups
32cups = 32/16gallon
32cups = 2gallon
Hence, 32cups = 2 gallon
8)
Since, 16people fit in 6 feet by 8feet
Then, how many people will be fit in the area of 300yard
1yard = 3feet
300yard = 3 x 300feet
300yard = 900feet
Let C be the size of a crowd that is 4 feet deep on ONE side of the street along a 300yards section of a parade route.
16/48 = C/900 x 4
1/3 = C / 3600
C = 3600 / 3
C = 1200people
Hence, the size of the crowd that is 4 feet deep on ONE side of the street along a 300yard section of a parade route is 1200 people
To learn more about Conversion click on the link
https://brainly.com/question/97386
#SPJ13
Is 21 over the square root of 4 a rational or irrational?
Answers
The algebraic expression ''21 over the square root of 4'' is a Rational number.
What is square root of a number?
The square root of a number is a value that multiplied by itself gives the same number.
Given that;
The algebraic expression is;
⇒ ''21 over the square root of 4''.
Now,
Since, The algebraic expression is;
⇒ ''21 over the square root of 4''.
It can be written as;
⇒ 21 / √4
⇒ 21 / 2
Since, The number 21 / 2 is of the form p / q where, 2 ≠ 0.
Hence, The number 21 / 2 is a Rational number.
Therefore,
The algebraic expression ''21 over the square root of 4'' is a Rational number.
Learn more about the square root visit:
https://brainly.com/question/11388449
#SPJ1
Write and solve an inequality for each of the word problems.A person does door to door sales and earns a salary of $1500 per month plus 6.5% of the sales. What must the sales be if the person has a monthly income of at least $3,350.
Answers
Explanation
Let the sales be represented by x
Since the person earns 6.5% of the sales, this becomes;
[tex]\frac{6.5}{100}\times x=0.065x[/tex]Recall that at least implies greater than or equal to in inequality. Therefore, the equation becomes;
[tex]0.065x+1500\ge3350[/tex]We will then solve for x
[tex]\begin{gathered} 0.065x\ge3350-1500 \\ 0.065x\ge1850 \\ x\ge\frac{1850}{0.065} \\ x\ge28461.5385 \end{gathered}[/tex]Answer: $28461.5385
1. Noah placed an empty bowl on a scale. He added different amounts of a liquid to the
bowl, recording the amount of liquid added, in tablespoons, and the total weight of
the bowl and liquid, in grams, each time on a scatter plot. He fit the line
y = 14.75x+861.82 to the data in his scatter plot, where x represents the amount
of the liquid, in tablespoons, and y represents the total weight of the bowl and the
liquid, in grams.
a. Interpret the slope of the line based on the context.
b. Interpret the y-intercept of the line based on the context.
Answers
a) slope of the line based on the context is 14.75
b) y-intercept of the line based on the context is 861.82
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given equation:
y = 14.75x+861.82
Now, using the general form
y= mx+ c
Now, comparing it with the given equation
m=14.75
and c= 861.82
a) slope of the line based on the context is 14.75
b) y-intercept of the line based on the context is 861.82
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ1
E Y2-yi X2-X1 Find the slope of the line that passes through these two points. Simplify completely. (2, -3) (5,6) m = [?] Enter
Answers
Given:
Two given points are,
[tex]\begin{gathered} (x_1,y_1)=(2,-3) \\ (x_2,y_2_{})=(5,6) \end{gathered}[/tex]THe objective is to find the value of slope, (m).
The formula to find the slope is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Now, substitute the given values in the above slope formula.
[tex]\begin{gathered} m=\frac{6-(-3)}{5-2} \\ m=\frac{6+3}{5-2} \\ m=\frac{9}{3} \\ m=3 \end{gathered}[/tex]Hence, the slope of the line is 3.
i really just Need the answer fast,no explnation is needed
Answers
Notice that the graph of the parabolla passes through the points (-2,0) and (0,0), which are x-intercepts since the cross the x-axis
congruent sides are marked on the figure to the right. Find the values of x and y.
Answers
You can identify that the triangle ACD is divided into two different triangles. These triangles are ABD and BCD.
Notice that the triangle BCD has two congruent sides. Therefore, it is an Isosceles triangle.
The triangle ABD has three congruent sides. This means that it is an Equilateral triangle. The measure of each interior angle of and Equilateral triangle is:
[tex]60\degree[/tex]Therefore, you can determine that:
[tex]x=60\degree[/tex]Let's assume that ABD is a Right triangle. Then:
[tex]ADC=90\degree[/tex]Since the other triangle C has twol equal angles:
[tex]m\angle BDC=y=90\degree-60\degree[/tex]Therefore:
[tex]y=30\degree[/tex]The answer is:
[tex]\begin{gathered} x=60\degree \\ y=30\degree \end{gathered}[/tex]One side of a rectangle is 7 feet shorter than twice and other side find the length of the shorter side if we also know that the perimeter of the rectangle is 100 feet.
Answers
The perimeter of a rectangle is 2(l+b).
The length and breadth of a rectangle are 31 ft and 19 ft respectively.
How to find the length and breadth of a rectangle?Let the other side of a rectangle = b
And the one side of a rectangle = l = 2b - 7 ft
The perimeter of a rectangle = 2(l+b) = 100 ft.
2(2b - 7+ b) = 100
2(3b - 7) = 100
3b - 7 = 50
3b = 57
b = 57/3ft
b = 19ft
l = 2b - 7
l = 2*19 - 7
l = 38 - 7
l = 31
l = 31ft
Therefore, length = 31 ft. and breadth = 19ft.
To learn more about rectangles, refer
https://brainly.com/question/25292087
#SPJ13
to determine whether the relation is a function. {(-6,15). (-12, -10), (-15, 11), (8, -14), (16, 1), (-10, -7)}.
Answers
The relation; {(-6,15). (-12, -10), (-15, 11), (8, -14), (16, 1), (-10, -7)} as given in the task content is; a function.
What kind of relation is a function?It follows from the task content that the relation is to be determined as being a function or not.
Since the definition of is such that; a function from a set X to a set Y assigns only one element of Y to each value of X.
In this regard, the set of possible values of x is called the domain of the function while the set y is called the range/codomain of the function.
Hence, since the relation given assigns only one y-value to each x-value, the relation given is therefore a function.
Read more on function;
https://brainly.com/question/10439235
#SPJ1
Polygon Exterior Angle Sum Theorem - The _____ of the ________ angle measures, one at each vortex, of a ________ polygon is_____.
Answers
The completed statement is:
Polygon Exterior Angle Sum Theorem - The sum of the exterior angle measures, one at each vortex, of a convex polygon is 360°.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.
Polygon examples include the following:
Concave PolygonsConvex PolygonsHexagon PolygonsIrregular PolygonsPentagon PolygonsQuadrilateral PolygonRegular Polygons.Learn more about Polygon:
https://brainly.com/question/26583264
#SPJ1
1/2. (.5) 2. Frosty and the kids travel 2 miles through town in 2 hours. What is the unit rate per hour?~ is the question, can you show me how to find a unit rate?
Answers
EXPLANATION
Frosty and kids travel ---------------> 2 miles / 2 hours
The unit rate will be:
[tex]\text{unit rate = }\frac{2\text{ miles}}{2\text{ hours}}=\frac{1\text{ mile}}{\text{hour}}=\text{ 1mph}[/tex]Write an equation of the line. Write the answer in slope-intercept form. The line passes through (0,5) and is perpendicular to the line x + 4y = 2.?
Answers
The product of the slopes of 2 lines that are perpendicular is equals to negative 1. Therefore,
[tex]\begin{gathered} m_1m_2=-1 \\ \end{gathered}[/tex]x + 4y = 2
4y = 2 - x
y = 1/2 - 1/4 x
[tex]\begin{gathered} m_1(-\frac{1}{4})=-1 \\ \frac{-m_1}{4}=-1 \\ -m_1=-4 \\ m_1=4 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} 5=4(0)+b \\ b=5 \\ y=4x+5 \end{gathered}[/tex]A cubic meter of water weighs 1 000 kg. What is
the weight of 2 meters by 3 meters by 20
centimetre of water?
Answers
Answer:
1200
Step-by-step explanation:
First , we need to calculate the new volume using the dimensions given.
V=L×W×H
L=3meters
W=2meters
H=20Centimeters
H=(20/100)meters=0.2 meters
V=3×2×0.2=1.2m³
using simple proportions
if 1m³=1000kg
then. 1.2m³=Y
Y=(1.2m³×1000kg)/1m3
Y=1200kg
the verticles of a triangle are located at (2,0), (5,0) and (5,5). which best describes the triangle?
Answers
Answer:
Right scalene
To determine his net worth, Albert has gathered information on all of his assets and liabilities. He has $4,350 in household assets, $400 in liquid assets, and Series EE bonds currently worth $785. Albert only liability is the remaining balance of his car loan, which is $1,250. What is Albert’s net worth?
Answers
He has $400 in cash assets, $4,350 in home assets, and $785 worth of Series EE bonds. $4294 money is Albert worth.
Given that,
Albert has gathered data on all of his assets and obligations in order to calculate his net worth. He has $400 in cash assets, $4,350 in home assets, and $785 worth of Series EE bonds. The only debt Albert has is the $1,250 remaining on his auto loan.
We have to find how much money is Albert worth.
To get the Albert worth
Adding the assets
$400+$4359+$785
$5544
Now, we substract
$5544 -$1250
$4294
Therefore, $4294 money is Albert worth.
To learn more about worth visit: https://brainly.com/question/4661523
#SPJ1
1. question ❓given A(-3,4) B(0,1) and C(4,2), reflect as follow. Ry-axis (ABC). what is a B?2
Answers
The reflection across the y axis the x value changes sign but the y value remain the same.
The answer is C
solve in the substitution method pleasex - 2y = -5x + 5y = 2
Answers
To solve the system of equations:
[tex]\begin{gathered} x-2y=-5 \\ x+5y=2 \end{gathered}[/tex]by the substiturion method we need to solve one of the equations for one of the variables, then we substitute this value in the other equation and solve for the remaining variable. Let's apply this method to the system.
First we solve the first equation for x:
[tex]x=2y-5[/tex]now we plug this value in the second equation:
[tex]\begin{gathered} 2y-5+5y=2 \\ 7y=5+2 \\ 7y=7 \\ y=\frac{7}{7} \\ y=1 \end{gathered}[/tex]Hence y=1. Once we have the value of y we substiute it in the equation for x:
[tex]\begin{gathered} x=2(1)-5 \\ x=2-5 \\ x=-3 \end{gathered}[/tex]Therefore the solution of the system is x=-3 and y=1
Which of the following functions arecontinuous on the interval 0 < 2 < 2?
Answers
Notice that:
[tex]1^2-1=0.[/tex]Therefore:
[tex]f(x)=\frac{x-1}{x^2-1}[/tex]is undefined at x=1.
Now, recall that the natural logarithm is defined over the positive numbers, therefore:
[tex]x^2-1>0[/tex]Then:
[tex]x>1\text{ or }x<-1.[/tex]Therefore the function
[tex]f(x)=ln(x^2-1)[/tex]is not well defined over the interval (0,2).
Finally, notice that:
[tex]p(x)=x^2+1,[/tex]has no real zeros, therefore the function:
[tex]f(x)=\frac{x+1}{x^2+1}[/tex]is well defined over all real numbers, also is continuous over all real numbers, particularly over the interval (0,2).
Answer: First option.
II only.
please help I feel like I get it buy I don't know the answer
Answers
To find the area of the figure you can find the area of the figures that make it up and then add these areas, in other words
[tex]A_f=A_r+A_R[/tex]Where
The formula to find the area of a rectangle is
[tex]\begin{gathered} A=l\cdot w \\ \text{ Where A is the area,} \\ \text{l is the length and} \\ w\text{ is the width of the rectangle } \end{gathered}[/tex]So, you have
[tex]\begin{gathered} l_r=3\text{ mm} \\ w_r=1\text{ mm} \\ A_r=l_r\cdot w_r \\ A_r=3\operatorname{mm}\cdot1\operatorname{mm} \\ A_r=3\operatorname{mm}^2 \end{gathered}[/tex][tex]\begin{gathered} l_R=6\text{ mm} \\ w_R=2\text{ mm} \\ A_R=l_R\cdot w_R \\ A_R=6\operatorname{mm}\cdot2\operatorname{mm} \\ A_R=12\operatorname{mm}^2 \end{gathered}[/tex]Finally, adding the areas you have
[tex]\begin{gathered} A_f=A_r+A_R \\ A_f=3\operatorname{mm}^2+12\operatorname{mm}^2 \\ A_f=15\operatorname{mm}^2 \end{gathered}[/tex]Therefore, the area of the figure is 15 square milimeters.
Determine whether the graphs of the given equations are parallel, perpendicular, or neither. y=x+9 y = -x + 2
Answers
Answer: Perpendicular
Step-by-step explanation:
Given are two equations as
We have to find whether these two are parallel or perpendicular or neither
For this first we have to find the slope of these two lines
I line slope = 1
II line slope =-1
Since slopes are not equal, the lines are not parallel.
Let us check product of these slopes. IF product =-1 the lines are perpendicular
We find that product =
Hence two lines are perpendicular
