Find the area of △ABF. Round the area to the nearest whole number, if necessary.
Answers
Answer:
Area of ΔABF = 6 square units
Step-by-step explanation:
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the ΔABF is 6 units².
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
To find the area of the ΔABF, we need to find the length of the base and the altitude of the triangle. Therefore, we can write the lengths as,
Base, FA = [tex]\sqrt{[-5-(-2)^2]+[4-1]^2}[/tex]
=√[(-5+2)² + (3)²]
= √[(-3)² + (3)²]
= √(9 + 9)
= √18
= 3√2
Altitude, BF = [tex]\sqrt{[0-(-2)^2]+[3-1]^2}[/tex]
=√[(0+2)² + (2)²]
= √[(2)² + (2)²]
= √(4 + 4)
= √8
= 2√2
Now, the area of the triangle can be written as,
Area of the triangle = (1/2) × Base × Altitude
= 0.5 × 3√2 × 2√2
= 6 units
Hence, the area of the ΔABF is 6 units².
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Related Questions
Use the function f(x) = 3x - 1 to answer question 1-34. Match the solutions to the questions.
Column A
1.
f(14) = ?:
f(14) = ?
2.
f(-10) = ?:
f(-10) = ?
3.
f(x) = 24; x = ?:
f(x) = 24; x = ?
Column B
a.25/3 = 8.33
b.41
c.-31
Answers
Answer:
1=b
2=c
3=a
Step-by-step explanation:
3(14)-1=41
3(-10)-1=-31
24=3x-1 x=8.33
what is 1/2 of 32 equal to
Answers
1/2 of 32 is equal to 16.
Answer:
16
Step-by-step explanation:
Step 1:
0.5 × 32
Answer:
16
Hope This Helps :)
what does y^5 x y^2 equal?
Answers
Answer: 1
Step-by-step explanation:
Answer:
y ⁷
Step-by-step explanation:
y⁵ * y² = y ⁽ ⁵ ⁺ ² ⁾ (adding exponents)
= y ⁷
Adding 3 to which digit in the number 736124 will increase the value of the number by 30,000?
Answers
Answer:
3
Step-by-step explanation:
736,124
It is in the 10 thousandths place
If a cube has a
volume of 8 cm
what is it's side
length?
Answers
Volume of a cube:
V=a^3
(where V is volume, and a is side length)
If v=8, the formula would now be 8=a^3
Take the cube root of both sides
a=2.
The function f(x) is shown on the graph.
If f(x) = 0, what is x?
18fy
15-
O O only
O 6 only
O-2, 1, or 3 only
0 -6, -2, 1, or 3 only
12-
fixy
9-
6
3-
-3
+
-1
X
-3-
-6
712
-15+
-187
Answers
Answer:
If we have the graph of either a function or its derivative, we can find an approximate graph for the other function. This is because when a function is increasing, the derivative is positive, and when the function is decreasing, the derivative is negative.
In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle B if the measure of angle C is 35°?
Answers
Answer: B is 180-35=145.
Step-by-step explanation:
What is the value of the expression 2m + m - 4(-2m +1-m)
When m=
-8?
Answers
Answer:
The answer to this question is -44
Step-by-step explanation:
Math-way its a free app kind of like brainly except its a lot faster:)
£3.65 equals to what
Answers
Answer:
4.75
Step-by-step explanation:
Find the square root of 25/289
Answers
Answer:
The answer would be 0.29
Is .875 greater than .5
Answers
9(u-2) + 1.5u=8.25
u is the number of hours walking up a hill and (u-2) is the number of hours sledding down the hill
Answers
Answer:
u= 2.5
Step-by-step explanation:
Using BIDMAS
Step 1: Expand the bracket
9(u-2) + 1.5u=8.25
9u-18+1.5u=8.25
Step 2: collect like terms
9u+1.5u=8.25+18
10.5u=26.25
Step 3: Divide both sides by 10.5 to get u
u= [tex]\frac{26.25}{10.5}[/tex]= 2.5
What is the width of the pond from right to left of the triangle shown?
Answers
Answer:
In total it’s 180 but east to west is 120
Step-by-step explanation:
y = 3(-1)+1
This is my own problem
Answers
Answer: -2
Step-by-step explanation:
Jamey has 44 sports cards. Jamey has 8 more than twice as many sports cards as Steven. How many sports cards does Steven have?
Answers
PLEASE HELP!!! 3x - x - 5 = 2(x+2)-9
Answers
Answer:
Infinite Solutions
Step-by-step explanation:
To solve for this problem, we want to isolate x on one side of the equation.
Apply the distributive property on the right side:
[tex]3x - x - 5 = 2x+4 -9[/tex]
Combine like terms:
[tex]2x - 5 = 2x - 5[/tex]
Woah, we have the exact same thing on both sides of the equation. This means that we have infinite solutions, aka any value of x will satisfy this equation.
Test it out! Any value of x, whether its 1, 5, or 10000 will satisfy the equation.
So this has infinite solutions.
Hope this helped!
Line b passes through points (9, 10) and (4,1). Line c is perpendicular to b. What is the
slope of line c?
Answers
Answer:
-5/9
Step-by-step explanation:
the slope of line b is 9/5
because (10-1)/(9-4)=9/5
a perpindicular line has a slope opposite and inverse of the other one, so the slope of c is -5/9
Simplify the expression
(5+4n)(2)
Answers
Answer:
8n+10
Step-by-step explanation:
Answer:
10+8n
Step-by-step explanation:
Distribute the 2 to everything in the parenthesis
Evaluate the radical. 512−−−√3 Enter your answer in the box.
Answers
Answer: The Answer is 8
Step-by-step explanation: It's right I just got done with the quiz And got an A+ I hope it helps!
The cube root of 512 is 8, the value of ∛512 is 8.
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is ∛512
To evaluate the cube root of 512, we can factor 512 as follows:
512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
We can then group the factors into sets of three, as follows:
512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 8 × 8 × 8
Therefore, we have:
∛512 = ∛(8 × 8 × 8)
= 8
Hence, the cube root of 512 is 8.
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what is the answer to x/7= -10
Answers
Answer:
x=-70
Step-by-step explanation:
Answer:
x=-70
Step-by-step explanation:
Murphy and Naryam do their homework together. When they get to 9 - (-8) they get different answers. Murphy claims that the answer is 17 and Naryam claims the answer is -1. Who do you think is correct?
Answers
Answer:Murphy is right
Step-by-step explanation: When there are two negitives right next to each other the cancel out so it turns into a positive make the question 9+8 making the answer 17.
Solve the Equation
-21 = 1/2c - 11
Answers
Answer:
c = -20
Step-by-step explanation:
-21=1/2c-11
-21+11=1/2c
-10=1/2c
-10*2=c
-20=c
Answer:
c = - 20
Step-by-step explanation:
Given
- 21 = [tex]\frac{1}{2}[/tex] c - 11 ( add 11 to both sides )
- 10 = [tex]\frac{1}{2}[/tex] c ( multiply both sides by 2 to clear the fraction )
- 20 = c , that is
c = - 20
PLEASE HELP!!!! Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discriminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.
Answers
Hey there! I'm happy to help!
In the quadratic formula, the discriminant is square rooted. In this formula you have a ± before this radical. If the discriminant is positive, the solution can be either subtracting or adding the number, so there are 2 real solutions.
If it is 0, subtracting or adding are the same, so there will be just one solution.
You cannot have a negative square root. It is impossible with real numbers, so there are no real solutions.
I hope that this helps! Have a wonderful day! :D
The zeroes based on nature of discriminant is described below.
We know that,
A quadratic equation is of the form ax + bx + c = 0,
Where a, b, and c are constants and x is the variable.
The discriminant of a quadratic equation is given by the expression,
⇒ b² - 4ac.
If the discriminant is positive (b² - 4ac > 0),
Then the quadratic equation has two real solutions.
This is because the quadratic formula, which gives the solutions of the quadratic equation, involves the square root of the discriminant.
Since the discriminant is positive, the square root is a real number, resulting in two distinct real solutions.
If the discriminant is negative (b² - 4ac < 0),
The square root of the discriminant is an imaginary number since it involves a negative integer's square root.
Given that the discriminant is a component of the quadratic formula,
if it is negative, the quadratic formula will include computing the square root of a negative integer, which is not a real number.
This is due to the fact that solving the quadratic equation requires obtaining the square root of the discriminant, and a negative square root is not a real integer.
In conclusion, there are no actual solutions to a quadratic equation with a negative discriminant since the solutions entail calculating the square root of a negative.
When the discriminant is zero,
it means that the quadratic equation has only one solution, which is a real number.
This is because the quadratic formula for finding the solutions of the quadratic equation reduces to a simpler formula when the discriminant is zero. Specifically,
The quadratic formula becomes,
x = -b/2a This formula gives us the only solution of the quadratic equation when the discriminant is zero.
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for f(x) = -4x -9 evaluate for f(6.5)
Answers
Answer:
f=−35
Step-by-step explanation:
1.Simplify 4×6.5 to 26
f=-26-9
2. Simplify -26-9 to -35
f=-35
a 24 foot tall streetlight casts a shadow that is 18 feet long. how long of a shadow is cast by a nearby parking meter post that is 4 feet high?
Answers
PLEASE I NEED HELP
Answers
Answer:
D) y=-1/2x+4
Step-by-step explanation:
D) y=-1/2x+4
In order to be parallel, it has to have the same slope (-1/2). Also, if you plug in (-2,5) for x and y, it does pass through those coordinates.
The robber stole only 25 pounds of quarters out of the coin machine. Quarters are weighed in ounces. If there are 16 ounces in 1 pound, how many ounces of quarters were stolen?
Answers
Answer:
400 ounces
Step-by-step explanation:
x pound(s) = (16*x) ounces
25 pounds=(16*25) ounces
25 pounds= 400 ounces
400 ounces of quarters were stolen.
Given,
The robber stole only 25 pounds of quarters out of the coin machine. Quarters are weighed in ounces.
If there are 16 ounces in 1 pound.
We need to find out how many ounces of quarters were stolen.
How many ounces in 1 pound?16 ounces = 1 pound
Find how many pounds of quarters were stolen.
= 25 pounds of quarters.
Convert 25 pounds of quarters into ounces of quarters.
1 pound = 16 ounces
Multiplying 25 on both sides.
25 x 1 pound = 25 x 16 ounces.
25 pounds = 400 ounces.
This means 25 pounds of quarters is 400 ounces of quarters.
Thus 400 ounces of quarters were stolen.
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Does x equal to -670
Answers
Answer:
i think its no to my best ability
Step-by-step explanation:
Simply the equation
(-243) 1/5
Answers
[tex]\text{Hey there!}[/tex]
[tex]\bf{(-243) \times \dfrac{1}{5}}[/tex]
[tex]\bf{-243 \rightarrow \dfrac{-243}{1}}[/tex]
[tex]\bf{\dfrac{-243}{1}\times \dfrac{1}{5}}[/tex]
[tex]\bf{\dfrac{-243(1)}{1(5)}}}[/tex]
[tex]\frak{-243 \times 1 = -243}[/tex] [tex]\leftarrow\bf{Your\ numerator}[/tex]
[tex]\frak{1\times 5 = 5}[/tex] [tex]\leftarrow \bf{Your\ denominator}[/tex]
[tex]\bf{ = \dfrac{-243}{5}}[/tex][tex]\leftarrow\bf{The\ answer}[/tex]
[tex]\bf{Your\ answer: \boxed{\bf{\dfrac{-243}{5} or \ as\ a\ decimal\ its: -48.6}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
The temperature increased 9°F between 6 a.m. and 3 p.m. The
temperature at 3 p.m. was 71°F. What was the temperature at 6 a.m.?
Answers
Answer:
62 degrees
Step-by-step explanation:
71 - 9
62
Hope this helps :)
