Answers
Answer:
Option A is the answer.
Step-by-step explanation:
The area of the triangle is given as :
[tex]A=\frac{1}{2}\times base\times height[/tex]
Base will be given by :
[tex]\sqrt{(x1-0)^{2}+(y1-0)^{2}}[/tex]
= [tex]\sqrt{x1^{2}+y1^{2}}[/tex]
Similarly the height will be given by:
[tex]\sqrt{(x2-0)^{2}+(y2-0)^{2}}[/tex]
= [tex]\sqrt{x2^{2}+y2^{2}}[/tex]
Now, putting these dimensions in the formula we get:
[tex]\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}[/tex]
Therefore, option A is the answer.
Related Questions
A cube has eight congruent faces.
true
false
Answers
what is the name of the line that the function approaches?
a. y-axis
b. there is no such line
c. the unknown line
d. asymptote
Answers
In the attached graph, the function has two asymptotes, one horizontal (the x-axis) and one vertical (the line x = 2).
2/11 x 5/7 = ? PLEASE ALSO EXPLAIN THAAAANKS
Answers
2/11 * 5/7
When we do a multiplications of two fractions, we should keep in mind that we are multiplying the numerators (2 and 5) and the denominators (11 and 7).
Firstly, we check if there are numbers to simplify by cross-multipling.
In this case, we don't have to simplify.
So 2*5 = 10
11*7 = 77
Final answer 10/77
solve this equation 3\5(x-10)=18-4x-1
Simplify using distributive property. Which number can be distributed across two terms inside parentheses?
Answer choices:
-10
3\5
x
Answers
3/5 is the number which can be distributed across two terms inside parentheses
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3/5 (x-10) = 18-4x-1
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
To solve the above equation we have to distribute 3/5 on LHS
3/5x-30/5 = 18-4x-1
3/5x-6 = 17-4x
Hence, 3/5 is the number which can be distributed across two terms inside parentheses
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which points lies on the line described by the equation? y+4=(x-3)
Answers
the equation y+4=(x-3) for the line passes by the point : (3 , - 4 )
when the slope is : 1
if x is a prime number, then x+1 is not a prime number. A counterexample is x=
Answers
Answer: The required example is x = 5.
Step-by-step explanation: Given that if x is a prime nu mber, then x+1 is not a prime number.
We are to give a counterexample for this.
Let us consider that
[tex]x=5.[/tex]
Then, we know that x is a prime number.
But, we get
[tex]x+1=5+1=6,[/tex] which is not a prime number.
Thus, the required example is x = 5.
at 3:00a.m,the temperature is -5°F. Between 3:00a.m. and 6:00 a.m.,the temperature drops by 12°F. Between 6:00a.m. and 9:00a.m., the temperature rises by 4°F. What is the temperature at 9:00a.m.?
Answers
Hope this helps!
X and y are supplementary angles y measures 97
Answers
Two cars start at the same time, but travel in opposite directions. one car's average speed is 20 miles per hour (mph). at the end of 4 hours, the two cars are 320 miles apart. find the average speed in mph of the other car. (enter an exact number.)
Answers
Final answer:
The question asks for the average speed of the second car given that two cars travel in opposite directions and the total distance between them after 4 hours. By calculating the distance one car traveled at 20 mph after 4 hours, it's possible to determine that the other car must have traveled at an average speed of 60 mph to cover the remaining distance.
Explanation:
The student's question is a problem involving distance, speed, and time, which are fundamental concepts in mathematics. To find the average speed of the other car, we can use the formula distance = speed times time. Since the two cars travel in opposite directions, their distances add up to the total separation distance after a certain time.
In this case, one car travels at 20 mph, so in 4 hours it covers 20 mph times 4 h = 80 miles. The total distance between them after 4 hours is 320 miles. Therefore, the distance covered by the second car is 320 miles - 80 miles = 240 miles. To find the average speed of the second car, we divide the distance it covered by the time it traveled which is 240 miles / 4 h = 60 mph. Hence, the average speed of the other car is 60 mph.
A circle with a radius of inches has a central angle of 0.25 radians that intercepts an arc of inches.
Answers
= 0.25 * 4
= 1 inch
Answer:
Step-by-step explanation:
Given that there is a circle of .... inches with central angle 0.25 inches
by formula we have arc = radius *central angle in radians
The radii are given three options as 10,20,4 and corresponding arcs as
25,5, 16 inches.
By matching we find that 10(0.25) not equals 25
But 20(0.25) = 5 inches
Also 4(0.25) not equals 16 inches
Hence correct answer is radius = 20 and central arc = 5 inches
A wire is first bent into the shape of a rectangle with width 5in and length 13in. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?
Answers
so length of each side of the triangle would be 36/3 = 12 ins.
Length of each side of a triangle with equal measurements is equals to [tex]12in[/tex].
What is perimeter?" Perimeter is defined as the total length around the boundary of any two dimensional geomertic shape."
Formula used
Perimeter of a rectangle [tex]= 2 ( L + W)[/tex]
[tex]L =[/tex] length of the rectangle
[tex]W =[/tex] Width of the rectangle
Perimeter of a triangle with equal length [tex]= 3s[/tex]
[tex]s =[/tex] side length of a triangle
According to the question,
Given,
Length of a rectangle [tex]'L'= 13 in[/tex]
Width of a rectangle [tex]'W' = 5 in[/tex]
Substitute the value in the formula we get,
Perimeter of a rectangle [tex]= 2( 13 + 5)[/tex]
[tex]= 36 in[/tex]
Substitute the value in the perimeter of a triangle with equal side length,
[tex]3s = 36 in\\\\\implies s = \frac{36}{3} \\\\\implies s = 12in[/tex]
Hence, Length of each side of a triangle with equal measurements is equals to [tex]12in[/tex].
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How to factor: 15x^2y^3 + 10xy^2z
Answers
A student must have an average (the mean) on five tests that is greater than or equal to 80% but less than 90% to receive a final grade of
b. devon's grades on the first four tests were 92%, 82%, 88%, and 92%. what range of grades on the fifth test would give him a b in the course?
Answers
The requried, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.
To find the range of grades Devon needs on the fifth test to receive a final grade of a B (between 80% and 90% inclusive), we need to consider the average of all five tests.
Let's denote the grade on the fifth test as "x" (in percentage).
The average of the five tests will be:
Average = (92% + 82% + 88% + 92% + x) / 5
To achieve a final grade of a B, the average must be greater than or equal to 80% but less than 90%:
80% ≤ Average < 90%
Now, substitute the given grades and the variable "x" into the average equation:
(92% + 82% + 88% + 92% + x) / 5 ≥ 80%
(92 + 82 + 88 + 92 + x) / 5 ≥ 80
(354 + x) / 5 ≥ 80
354 + x ≥ 400
x ≥ 400 - 354
x ≥ 46
Now, for the upper limit:
(92 + 82 + 88 + 92 + x) / 5 < 90
(354 + x) / 5 < 90
354 + x < 450
x < 450 - 354
x < 96
So, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.
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Devon must score between 46% and 91% on his fifth test to achieve a B average in the course.
Explanation:To determine the range of grades on the fifth test that would give Devon a final grade of B, we need to calculate the average of the five test scores. For an average to fall between 80% and 90%, the total sum of the five test grades must be between 400% and 449%, since 5 tests × 80% = 400% and 5 tests × 89% (just below 90%) = 445%. Devon's current grades add up to 92% + 82% + 88% + 92% = 354%. Therefore, to achieve a B, his fifth test score needs to be between 400% - 354% = 46% and 445% - 354% = 91%.
max is four years younger than his sister brenda. the total of their age is 16. write and solve an equation to find their ages.
Answers
X - 4 is Max
X + (X - 4) = 16
2X -4 = 16
2X = 20
X = 10
This means that Max is 6 and Brenda is 10
How do you tell the difference between a obtuse angle, a right angle and a acute angle?
Answers
Right angle= Perfect 'L' angle (90 degrees)
Acute angle= (<90 degrees) Smaller than a perfect 'L' angle
God bless!
What is the rate of change of the volume of a ball with respect to the radius when the radius is?
Answers
dV/dr=4/3*pi*d(r^3)/dr =4/3*pi*(3*r^2)=4*pi*r^2
Factor completely p^2 - 8p + 7
Answers
p^2-8p+7
(p-7)(p-1)
Check:
-7-1=-8
-7*-1=7
Answer:(p−1)(p−7)
What is the simplified form of the following expression?
4/7^3
A: 343/64
B: 21,952
C:407
D: 64/343
Answers
Evaluate the exponents
4³= 64
7³= 343
Final answer: 64/343
Answer:
The correct option is D.
Step-by-step explanation:
The given expression is
[tex](\frac{4}{7})^3[/tex]
According to the property of exponent.
[tex](\frac{a}{b})^n=\frac{a^n}{b^n}[/tex]
Using this property the given expression can be written as
[tex](\frac{4}{7})^3=\frac{4^3}{7^3}[/tex]
[tex](\frac{4}{7})^3=\frac{64}{343}[/tex]
The simplified form of the given expression is [tex]\frac{64}{343}[/tex].
Therefore the correct option is D.
How to get "4" of 4s to equal 4 using any order of operation
Answers
You can think of this problem in multiple ways. First of all, you can use three 4s to equal zero; then, you add four and the final product will be 4. Any number times zero is always zero. So we subtract 4 from 4 to equal zero. Finally, we add four.
Suppose M is the midpoint of FG. Use the given info. to find the missing measure or value. FM=3X-4, MG=5X-26, FG=?
Answers
surely you know how much that is.
Answer:FG=29+29
Step-by-step explanation:
help me pls I'm stuck......
Answers
subtracting the smaller number from the larger number
ex. 1+ -5 becomes 5-1 = 4, since the larger number is the negative, the answer is negatives oit is -4
ex2. -5+7 = 7-5 = 2, since the larger number is positive, the answer is positive 2
Which equation can be used to solve this problem?
Molly bought 6 packs of trading cards. Each pack cost $3. She also bought 1 pack of gum. It cost $2. How much did Molly spend altogether?
A.
6 ÷ 2 × 3 = x
B.
6 + 3 × 2 = x
C.
6 × 3 ÷ 2 = x
D.
6 × 3 + 2 = x
Answers
What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?
Answers
Answer:
Step-by-step explanation:
What you have todo is to multiply the length by the width
Which is 20×12 = 240
Then multiply 240 by 8.91
This should give you $2,138.4
Please help ;u;
which expression shows how 5 . 37 can be rewritten using the distributive property?
1) 5 . 30 + 5 . 37
2) 15 . 30 + 5 . 37
3) 5 . 30 + 5 . 7
4) 5 . 30 + 7
Answers
Answer:
5x30 + 5x7
Step-by-step explanation:
hope this helps :)
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice all together
Answers
45+35= 80minues if 60 minutes is an hour then its 1 hour and 20 minutes.
3/4 = 9/12
9/12 + 7/12 = 16/12 = 1 4/12 = 1 1/3 hours
The value for ss can never be less than zero.
a. True
b. False
Answers
For example, S= -3
-3(-3)= 9
Another example, S= 3
3(3)=9
Therefore, it is true that the value of ss can never be less than a zero.
Hopefully, this helps!
What is the reason for each step in the solution of the equation? 2x−1=4(x+1)2x−1=4(x+1)
Drag and drop the reasons into the boxes to correctly complete the table.
2x−1=4(x+1)2x−1=4(x+1)-
2x−1=4x+42x−1=4x+4-
2x=4x+52x=4x+5-
−2x=5−2x=5-
x=−52-
Given
Distributive property
Commutative property
Addition or suptraction property of equality
Answers
2x - 1 = 4 (x + 1) ; GIVEN
2x - 1 = 4x + 4 ; Distributive property (as we can see, 4 is multiplied to each of the terms found inside the parentheses)
2x = 4x + 5 : Addition property of equality (both sides of the equation are added with 1)
-2x = 5 : Subtraction property of equality (both sides of the equation are subtracted with 4x)
x = -5/2 : Division Property of equality (both sides are divided by -2)
Shilo is trying to compute the value of 27 + 55 + 13. She adds 27 + 13 to get 40, and then adds on 55. Which of the following properties is Shilo using? commutative distributive associative identity
Answers
the answer is commutative. hope this helps!
Shilo is using commutative and associative
What is commutative property?"For any numbers 'a' and 'b', a + b = b + a"
What is distributive property?"For any real numbers 'a', 'b' and 'c',
a × (b + c) = a × b + a × c"
What is associative property?For any numbers 'a', 'b' and 'c',
(a + b) + c = a + (b + c)
What is identity?For any real number a,
the additive identity is a + 0 = 0 + a = a
For given question,
Shilo is trying to compute the value of 27 + 55 + 13.
She adds 27 + 13 to get 40, and then adds on 55.
⇒ 27 + 55 + 13
= 27 + 13 + 55 ...........(commutative property, 55 + 13 = 13 + 55)
= (27 + 13) + 55 ...........(associative property)
= 40 + 55
= 95
Therefore, Shilo is using commutative and associative property.
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For the above table:
x . 0.5 Y. 3 x.2 ,y 6, x 2, y 9 , x 2.5 y 12 , x 3, y 15
a. State the domain.
b. State the range.
c. Is this relation a function? Why or why not?
(2 points)
Answers
a) domain are the x's
so 0.5, 2, 2,2.5, 3
b) range is the y's so:
3, 6, 9, 12,15
c) it is not a function, since there are 2 x's that equal 2 but the 2 y's that go with them are different numbers (2,6) & (2,9)
Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.
How many of each coin does he have?
Answers
q=number of quarters
let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents
10d+25q=700
divide both sides by 5
2d+5q=140
he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation
2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15
sub back
q=7+d
q=7+15
q=22
22 quarters and 15 dimes
Hope this helps