Answers
Answer:
27
Step-by-step explanation:
The area of the triangle is 30.9 square units.
We have,
From the figure,
Height = Distance between (-2, 6) and (-2, 0).
Base = Distance between (-2, 0) and (7, -5).
To find the distance between two points in a Cartesian coordinate system, use the distance formula:
Distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Height:
Distance = √((-2 - (-2))² + (0 - 6)²)
Distance = √(0² + (-6)²)
Distance = √(0 + 36)
Distance = √36
Distance = 6
Base:
Distance = √((7 - (-2))² + (-5 - 0)²)
Distance = √((7 + 2)² + (-5)²)
Distance = √(9² + (-5)²)
Distance = √(81 + 25)
Distance = √106
Distance ≈ 10.3
Now,
The area of the triangle.
= 1/2 x base x height
= 1/2 x 10.3 x 6
= 10.3 x 3
= 30.9 square units
Thus,
The area of the triangle is 30.9 square units.
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Related Questions
Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.
Answers
Answer:
y = -1/3x + 13/3
Step-by-step explanation:
-3x + y=-5
y = 3x -5
Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.
y-intercept going through point (1, 4):
y = mx + b
4 = -1/3(1) + b
4 = -1/3 + b
b = 13/3
Perpendicular equation of a line:
y = mx + b
y = -1/3x + 13/3
-1/6 + -3/7 =
Please need answers ASAP and please explain how to do it as well thanks
Answers
Answer:
-25/42
Step-by-step explanation:
you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.
so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.
then you add them together and you get -25/42
if possible you would simplify but for this one it’s not :)
Answer:
Negative Twenty Five over Forty Two.
Step-by-step explanation:
Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).
First Step: Make the denomimators the same.
-1/6 will become -7/42
-3/7 will become -18/42
Second step: Add the two fractions.
-7/42 + -18/42 = -25/42
So there is your answer: -25/42
Based on experience, Farmer Fern knows that 15% of her eggs will be damaged in
route to the stores. In a sample of 100 eggs, what is the probability that less than
13% will be damaged?
Answers
Answer: 0.2877
Step-by-step explanation:
Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15
Sample size = 100
Let p be the probability of her eggs will be damaged.
The probability that less than 13% will be damaged is given by :-
[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]
[tex]=P(z<-0.56)[/tex]
[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]
Hence, the required probability = 0.2877
4. Escribe
5. Escribe la ecuación 3x + 4y - 20 = 0 en su forma simétrica.
62
Answers
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
Answers
Answer:
12 t-shirts
Step-by-step explanation:
12 x 75% = 9 = 9 t-shirts
What is the value of (2,820 ÷ 8) ÷ 5?
Answers
70.5
70 1/2
All are correct
Pls mark brainliest
help with question 8 please
Answers
Answer:
the answer is G I believe
What is the value of X?
Answers
Answer:
x=92 degrees
Step-by-step explanation:
53+45=98
180-98=92
92 is answer
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy(average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
Which of the following most closely describes the method of data collection used?
a. Anecdote
b. Controlled experiment
c. Observational study
Answers
Answer:
Controlled experiment
The method of data collection used by the federal government agency is controlled experiment.
What is Controlled Experiment?
A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.
The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.
The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.
Therefore the method of data collection used is controlled experiment.
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f(x)=-3x^2-6x
Find f(−9)
Answers
Answer:
f(-9)= -189
Step-by-step explanation:
f(-9)= -3(-9)^2-6(-9)
f(-9)= -3(-9)^2 +54
f(-9)= -3(81) +54
f(-9)= -243 + 54
f(-9)= -189
[tex]f(-9)[/tex] is [tex]-189[/tex]
What is function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]
We have to find [tex]f(-9)[/tex]
So, [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]
[tex]=-243+54[/tex]
[tex]=-189[/tex]
Hence, we can conclude that [tex]f(-9)[/tex] is [tex]-189[/tex]
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A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.
Answers
9514 1404 393
Answer:
sec(A) = -(1/5)√74
Step-by-step explanation:
Solving the equation for y, we have ...
-7x = 5y
-7/5x = y
The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...
sec(A)^2 = 1 + tan(A)^2
sec(A) = √(1 +tan(A)^2)
sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant
sec(A) = -(1/5)√74
Given the line: y = -1/5x-3, what is the slope of a line parallel and perpendicular
to the function
Answers
Answer:
parallel: m= -1/5
parpendicular: m= 5
Step-by-step explanation:
parallel lines have the same slope
- 1 stays the same so - 1
5 5
parpendicular lines have the opposite reciprocal slope
- 1 flipped is - 5 turn the negative into a positive 5 or 5
5 1 1
Lin ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour. How long would it take Lin and Noah to run 1 mile at that rate?
Answers
We want to see how long it will take for Lin and Noah to run 1 mile. We will see that:
Lin runs 1 mile in (8/55) hoursNoah runs 1 mile in (2/13) hours.So we know that:
Lin runs (2 + 3/4) miles in 2/5 hours.Noah runs (8 + 2/3) miles in 4/3 hours.The time in which they run a single mile is given by the quotient between the time and the distance.
For Lin we have:
[tex]T = \frac{2/5 }{2 + 3/4} h/mi = \frac{2/5}{11/4} h/mi = \frac{2*4}{5*11} h/mi = \frac{8}{55} h/mi[/tex]
So Lin runs a mile in (8/55) hours
For Noah we have:
[tex]T = \frac{4/3}{8 + 2/3} h/mi = \frac{4/3}{26/3} h/mi = \frac{4}{26} mi/h = \frac{2}{13} h/mi[/tex]
Noah runs 1 mile in (2/13) hours.
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In the expression shown, n
represents a rational number.
7n
What value of n makes the
expression a number less than
7?
A. 3/2
B. 6/6
C. 4
D. 714
Answers
Answer:
C. 4/5
Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7
What is the result of 3-5?
0
2
2
3
1
9
1
5
9
Answers
Answer:
4-7
Step-by-step explanation:
Answer:
wrong its not 4 7
Step-by-step explanation:
If three times a number is at least four or more than eight times the number, which of the following is true? A-The number is at least negative four-fifths.
B- the number is at most four-fifths.
C-The number is at least four-fifths.
D-The number is at most negative four-fifths .
Answers
Answer:
I believe A...
Step-by-step explanation:
Sorry if i'm wrong):
Option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
If three times a number is at least four or more than eight times the number,
Let x be the number
Mathematically, it can be written as:
3x is at least 4 + 8x
3x - 8x is at least 4
- 5x is at least 4
x is at least -4/5
Thus, option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.
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What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
0-
Prism vs. Pyramid
3
10
9
B
8
03
02
Prism Volume (cubic units)
2
1
23
5
6 7
8
9 10
Answers
Answer:
The slope of the line is 3.
Step-by-step explanation:
The slope of the line between the volume of a rectangular prism and the volume of a square pyramid is given by m = 3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 1 , 3 )
Let the second point be Q ( 2 , 6 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 6 - 3 ) / ( 2 - 1 )
Slope m = 3 / 1
m = 3
Therefore , the value of m = 3
Hence , the slope of the line is m = 3
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Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if the map scale is 1 in.=50ml
Answers
Answer:
3.5 * 50 =175 mi :)
Step-by-step explanation:
Which pair of lines are perpendicular?
A y=-8 and y = 2
B y= -4x + 1 and 8X+2Y=-10
C x=4 and y= -1
D x-y=7 and y=x+3
Answers
9514 1404 393
Answer:
C. x=4 and y= -1
Step-by-step explanation:
A: lines are parallel (both are horizontal)
B. lines are parallel (both have slope -4)
C. lines are perpendicular (one is vertical, one is horizontal)
D. lines are parallel (both have slope 1)
2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:
Answers
Answer:
The answer to your question is:
Step-by-step explanation:
Data
A (8, 9)
B (-2, 4)
1. What is the slope of the line? Show your work
m = (y2 - y1) / (x2 - x1)
m = (4 - 9) / (-2 - 8)
m = -5 / - 10
m = 1/2
2. Write the equation of the line in point-slope form. Show your work
(y - y1) = m(x -x1)
(y - 9) = 1/2(x - 8)
3. Write the equation of the line in slope-intercept form.
(y - 9) = 1/2(x - 8)
y - 9 = 1/2x - 4
y = 1/2x - 4 + 9
y = 1/2x + 5
This work was done by joseaaronlara
Which list shows all the factors of 72?
OA) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
OB) 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
OC) 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
OD 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72
Answers
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The two triangles shown are similar. Find the value of a/b
Answers
Answer:
[tex] \frac{a}{b} = 1.5 [/tex]
Step-by-step explanation:
Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.
This means: [tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex].
Since this equation is true, rewrite so that you have [tex] \frac{a}{b} [/tex]
[tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex]
Cross multiply
[tex] a*1.4 = b*2.1 [/tex]
Divide both sides by 1.4
[tex] a = \frac{b*2.1}{1.4} [/tex]
Divide both sides by b
[tex] \frac{a}{b} = \frac{2.1}{1.4} [/tex]
[tex] \frac{a}{b} = 1.5 [/tex]
The value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].
Given:
Two triangles in the given figure are similar.
To find:
The value of [tex]\dfrac{a}{b}[/tex].
Explanation:
The corresponding sides of two similar triangles are proportional.
[tex]\dfrac{a}{2.1}=\dfrac{b}{1.4}[/tex]
It can be rewritten as:
[tex]\dfrac{a}{b}=\dfrac{2.1}{1.4}[/tex]
[tex]\dfrac{a}{b}=1.5[/tex]
Therefore, the value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].
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What are the opposites of 7, −4.5, 3.35, and 7 1 2
Answers
Answer:
The opposites of these numbers are -7, 4.5, -3.35, and -712
Step-by-step explanation:
The temperature went from -6°F to -11°F. What was the change in temperature?
-5 F
5F
-17°F
17 F
Answers
Answer:-5 F
Step-by-step explanation -6 + -5 = -11
256=(1/4)3x+2Solve the exponential equation for x.
Answers
Answer:
Exact Form:
x =1016 /3
Decimal Form:
x = 338. ¯ 6
Mixed Number Form:
x = 338 2/3
Step-by-step explanation:
Pass necessary journal entries in the books of Narender for the month of March 2006
Answers
Please explain this question as I can't 'Pass necessary journal entries in the books of Narender for the month of March 2006'
what is the slope of the line
Answers
Answer:
Rise/Run = up 3 over 1 = 3/1 (m = 3)
Step-by-step explanation:
Learn this stuff it is very important for future math
Which graph does not represent a function?
Answers
Answer:
C
Step-by-step explanation:
c is my answer to your question
2/3 times 6/7 divided by 2/5
Answers
Answer:
so the answer is 1 whole and 3/7 hope this helps :)
explanation:2/3× 6/7 = 4/74/7 ÷ 2/5 = 1 3/7line 1 passes through points (4, -4) and (8,-3) while line 2 passes through points (1,-6) and (-1,2). determine whether the lines are parallel, perpendicular, or neither
Answers
Answer:
neither
Step-by-step explanation:
the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]
the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither
Hope this helps