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
the slope of a hill 3/190. The Hill has a ride of 400m. What is the horizontal distance covered by the hill?
Answers
Answer:
its 5
Step-by-step explanation:
The hill with a rise of 400m and a slope of 3/190 covers approximately 25333.33 meters horizontally.
Slope is a term used to describe how steep or inclined a line is on a graph. It shows the proportion of the rise to the run or vertical change, between any two points on a line. The slope is a fundamental idea in geometry, algebra and calculus; it shows how much the line rises or falls for each unit of horizontal distance. A slope of zero denotes a horizontal line while positive slopes denote upward inclines, negative slopes denote downward inclines, and vice versa.
Slope = rise / run
Given that the slope of the hill is 3/190 and the rise is 400m, we can set up the equation:
3/190 = 400 / run
run = 400 / (3/190) = 400 × (190/3)
= 400 × 63.33 ≈ 25333.33 meters
the horizontal distance covered by the hill is approximately 25333.33 meters.
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A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is
Answers
Three times a number increased by one is between negative eight and seven find all the numbers.
All the numbers that makes the statement true are given by?
Please hurry this is on my exam
Answers
This is about absolute value inequalities.
The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}
Let the number in the question be x.We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.
Thus;
3x + 1 > -8 - - - (eq 1)
3x + 1 < 7 - - - (eq 2)
Let's find range of x from eq 1;3x + 1 > -8
Subtract 1 from both sides to get;
3x > -9
x > -9/3
x > -3
Similarly, let's find the range of x from eq 2;3x + 1 < 7
Subtract 1 from both sides to get;
3x < 7 - 1
3x < 6
x < 6/3
x < 2
Thus, we can write that;
-3 < x < 2
Thus, the set of possible values of x are; x = {-2, -1, 0, 1}
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What is the percent of change of 62 trees to 31 trees
Answers
Answer:
62 trees = 100%
62 / 2 = 31 trees
100% / 2 = 50%
31 trees = 50%
Step-by-step explanation:
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x=x-5
Answers
Answer:
no solution
Step-by-step explanation:
X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...
6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5
Hope this helped! Good Luck!
Help? Please? This is algebra math
Answers
Answer:
You count the blocks and then put the amount of blocks before:)
(That sounds confusing but it sounds harder than it is)
The answer would be 3xy + 4x
Step-by-step explanation:
How many xy blocks are there? yea there's 3 so you do 3xy
you can't add xy and x blocks together because xy is a different unit than x (xy is x times y) so then you'd count the other x blocks seperately
(I'm sorry if I'm wrong on this lol)
Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-60x+32=-60x+60−60x+32=−60x+60minus, 60, x, plus, 32, equals, minus, 60, x, plus, 60
(Choice B)
B
-60x+32=32x-60−60x+32=32x−60minus, 60, x, plus, 32, equals, 32, x, minus, 60
(Choice C)
C
-60x+32=-60x-32−60x+32=−60x−32minus, 60, x, plus, 32, equals, minus, 60, x, minus, 32
(Choice D)
D
-60x+32=32x+60−60x+32=32x+60
Answers
Answer:
B & D
Step-by-step explanation:
Options B and D have a solution from the given set of equations.
We need to find from the given which equation does not have solutions.
How to determine whether the equation has no solution?Solve the given equation for x. If you get any value then the equation has a solution.
From option (A):
-60x+32=-60x+60
⇒-60x+60x=60-32
By simplifying the above equation we get no x value. So, there are no solutions.
From option (B):
-60x+32=32x-60
⇒-60x-32x=-60-32
⇒-92x=-92
⇒x=1
From option (C):
-60x+32=-60x-32
By simplifying the above equation we get no x value. So, there are no solutions.
From option (D):
-60x+32=32x+60
⇒-92x=28
⇒x=0.304
Therefore, options B and D have a solution.
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A system of equation is shown: 2x = -y + 6 -4x + 3y =8 what is the solution tonthis system of equations? (-1, -4) (1, 4) (4, 4) (-4, -1)
Answers
Answer:
(1 , 4)
Step-by-step explanation:
2x = -y + 6
-4x + 3y = 8
2x = -y + 6
2x - 6 = -y
-2x + 6 = y
-4x + 3y = 8
-4x + 3(-2x + 6) = 8
-4x - 6x + 18 = 8
-10x + 18 = 8
-10x = -10
x = 1
-2x + 6 = y
-2(1) + 6 = y
-2 + 6 = y
4 = y
Angine and kenny play online video games. Angine buys 1 software package and 2 months of game play. Kenny buys one software package and 4 months worth of game play. Each software package cost $20. If their total cost $142, what is the cost of one month of gameplay?
Answers
Answer:17$
Step-by-step explanation:
For a small charge, you arrange to have the hardware store deliver your purchase for you
You pay for your purchase, plus the sales tax, plus the delivery charge.
Answers
What is the solution to the expression -2-3-(-4)?
A)-9
B)-3
C)-1
D)5
Answers
How many solutions does this equation have? 5 + 2(3 + 2x) = x + 3(x + 1) *
One Solution
Infinite Solutions
No Solutions
Answers
Answer:
no solutions
Step-by-step explanation:
Hi there!
Here is an answer:
[tex]5 + 2(3 + 2x) = x + 3(x + 1)\\11+4x=4x+3\\11=3,\;wrong[/tex]
Hope this helps)
Have a nice day!
Lanie works part-time at Sweet Treats Catering. She earns $13.25 per hour and work 25 hours a
week. She is paid semi-monthly.
a. Calculate her gross pay for 1 paycheck. Show all your math calculations.
Answers
Answer:
Semi-monthly gross pay = $662.5
Step-by-step explanation:
Given:
Earning per hour = $13.25
Number of hours per week = 25 hours
Find:
Semi-monthly gross pay
Computation:
Assume two week in semi-month
So,
Total working hour = 2(25)
Total working hour = 50 hours
Semi-monthly gross pay = Total working hour × Earning per hour
Semi-monthly gross pay = 50 × 13.25
Semi-monthly gross pay = $662.5
plz help... ill give u 20 points
Answers
I’m step 1, the difference of 1.5 x (-3.2) and 1.5 x (2.5) should be written as a sum
For example the right next step you be
1.5 x (-3.2) + 1.5 x (2.5)
And therefore giving you the final result of
= -4.8 + 3.75
= -1.05
Hope this helps :)
help i forgot 3(x−4)≥−2x+3
Answers
Answer:
The answer is x_> 3
Step-by-step explanation:
Answer:
x≥3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x−12≥−2x+3
Step 2: Add 2x to both sides.
3x−12+2x≥−2x+3+2x
5x−12≥3
Step 3: Add 12 to both sides.
5x−12+12≥3+12
5x≥15
Step 4: Divide both sides by 5.
5x
5
≥
15
5
x≥3
You are planning a laser tag party. Company A charges $6 per person to use the facility. Company B charges $100 plus $4 per person.
For how many people attending would the companies be equal?
Please answer honestly
Answers
Answer:
50 people until it was equal
Step-by-step explanation:
6p=100+4p
2p=100
p=50
6(50)=100+4(50)
300=100+200
300=300
I need help on it pls
Answers
Answer:
The answer is 15,008 you clicked the right one.
Step-by-step explanation:
Answer: your answer is right
Step-by-step explanation: i did the computation
Solve 27 * 9
help and explain this to me! im in 6th grade so dont make it to hard
Answers
Answer:
243
Step-by-step explanation:
I think it is just 27 times 9
Answer:
243
Step-by-step explanation:
Which ratios approximate pi ()?
Select all the ratios that approximate pi ().
A.
66:21
B.
60:20
C.
21:7
D.
45:15
E.
22:7
Answers
9514 1404 393
Answer:
A: 66/21
E: 22/7
Step-by-step explanation:
The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.
A: 66/21 = 22/7 = 3 1/7
B: 60/20 = 3
C: 21/7 = 3
D: 45/15 = 3
E: 22/7 = 3 1/7
___
Comment on pi approximations
The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
Olfa student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answers
Answer:
c
Step-by-step explanation:
y= 4x-3?
Help me please
Answers
Have a good day
Answer:
5 hi
Step-by-step explanation:
I need the answer plzz
Answers
Answer:
The correct coordinates are (3, 4).
Gabriela may have reflected Figure ABCD across the x-axis.
Step-by-step explanation: Looked at graph.
Hope this helps!
Solve for x: -9x < 27
Answers
Answer:
x > -3
Step-by-step explanation:
Since you need to get a by itself as a variable divide both sides by -9 (but in inequality when you divide by - the sign flips)
x > -3
After three plays in which a football team lost 7 yd, gained 3 yd, and
lost 1 yd, respectively, the ball was placed on the team’s own 30-yd line.
Where was the ball before the three plays?
Answers
Answer:
25 Yard line was the previous location.
Step-by-step explanation:
-7+3-1= -8+3= -5
30-5=25.
Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4? (1 point)
The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.
Answers
Answer:
C The graph shifts 4 units left.
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
i took the test on flvs lol
g(x) = -4x – 5
f(x) = -4x - 1
Find g(-6) + f(-6)
Answers
Answer:
19+23
Step-by-step explanation:
What is the value of the expression below.
||3-7| - |-6+3||
Answers
Answer:
1
Step-by-step explanation:
[tex]||3-7| - |-6+3||[/tex]
||-4|- |-3||
|4-3|
|1|
The sum of two consecutive integers is
−23.
Find the numbers.
Answers
Answer:
-11 and -12
Step-by-step explanation:
first integer: x
second integer: x + 1
x + x + 1 = -23
2x + 1 = -23
2x = -24
x = -12
first integer: -12
second integer: -12 + 1 = -11
who got the answer to this ?
(4x^2+6+7)-(-8x^2-2x+6)
Answers
Answer:
12x^2+2x+7
Step-by-step explanation:
Distribute the Negative Sign:
=4x^2+6+7+−1(−8x^2−2x+6)
=4x^2+6+7+−1(−8x^2)+−1(−2x)+(−1)(6)
=4x^2+6+7+8x^2+2x+−6
Combine Like Terms:
=4x^2+6+7+8x^2+2x+−6
=(4x^2+8x^2)+(2x)+(6+7+−6)
=12x^2+2x+7
9) Express the ratio 18:30 in lowest terms.
Answers
Answer:
3:5
Step-by-step explanation:
take the biggest common factor which would be 6 in this case, and just divide the two out by that. 3:5