Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*
Answers
Answer:
The area of the triangle DEF is 10.
Step-by-step explanation:
Area of a Triangle:
A triangle of base B and height H (both must be perpendicular) has an area of:
[tex]\displaystyle A=\frac{BH}{2}[/tex]
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
[tex]\displaystyle A=\frac{5*4}{2}=10[/tex]
The area of the triangle DEF is 10.
Related Questions
Asap
I need help please
Answers
Answer:
c
Step-by-step explanation:
14, What is the value of the expre
3(20 – x) =
Your answer
Answers
Answer:
= −3x + 60
Step-by-step explanation:
3(20−x)
=(3)(20+ −x)
=(3)(20) + (3)(−x)
=60 − 3x
= −3x + 60
Sorry, I'm Late.
Hope This Helps!
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Please Solve
3/5 (2m-10)=2/3m+10
Answers
Answer:
m = 30
Step-by-step explanation:
3/5 (2m-10)=2/3m+10
Distribute
6/5 m - 6 = 2/3m +10
Subtract 2/3 m from each side
6/5 m - 2/3 m - 6 = 2/3m -2/3m +10
6/5 m -2/3m - 6 = 10
Add 6 to each side
6/5 m -2/3m - 6+6 = 10+6
6/5m -2/3m = 16
Get a common denominator of 15
18/15 m - 10/15 m =16
8/15 m = 16
Multiply each side by 15/8
15/8 *8/15 m = 16*15/8
m = 30
Solve the quadratic equation given below by completing the square.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
x^2 - 2x - 12 = 0
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19. Mrs. Tyner tutors to earn additional money. For each person she tutors, she charges $15 for the first hour
then $10 for each additional hour. Ms. Starling was paid a total of $35 last Saturday. Which equation can be
used to determine h, the amount of hours Mrs. Tyner tutored on Saturday.
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explain how using fraction strips with like denominators makes it possible to add fractions with unlike denominators.
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Fraction strips uses (least) common denominators, thus splitting big fraction into sum with like denominators and thus making addition possible.
Fraction strips require three major steps.
1. Firstly convert the problem with modelling as fraction strips.
2. Find the common denominator which should be least of all.
3. Now calculate the sum on new converted fractions.
For example:
[tex]\begin{aligned}\dfrac{1}{2} + \dfrac{3}{4} &= \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{3}{4}\\&= \dfrac{2}{4} + \dfrac{3}{4}\\&= \dfrac{5}{4} = \: Ans.\end{aligned}[/tex]
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Explain how to multiply two numbers with different signs.
Helpppp
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Answer:
number 1. 6x6, number 2. 6*6, number 3. 6.6
Step-by-step explanation:
[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]
Plz help<3 I need to hurry up and get this assignment done
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Answer:
[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]=9
Which equation represents the graphed function?
A. y = -2x + 3
B. y = 2x + 3
C. y=1/2x+3
D. y=-1/2x+3
Answers
Answer:
y= - 2x+3
Step-by-step explanation:
3 is our start possition
the number before the x is the rise over run
so we would "rise" (vertical) 2 but since it has a - it will be going the oppisite direction then our run would be 1 going over horizenly 1 block
Is the answer:3
simplify the expression
4t + 10t
Answers
Answer:
Add 4t and 10t
14t
Step-by-step explanation:
When you have the same variable you simply can add them together.
Hope this helps :)
Can anyone please help me
Answers
Answer:
y = 8 + 12x
Step-by-step explanation:
Step 1: Write equation
3x - 1/4y = -2
Step 2: Solve for y
Subtract 3x on both sides: -1/4y = -2 - 3xMultiply both sides by -4: y = -4(-2 - 3x)Distribute -4: y = 8 + 12xPLEASE HELP ME ASAP! ILL GIVE BRAINLEST
Answers
Answer:6(-4)
Step-by-step explanation:
Answer:
4(-6), 6(-4), 12(-2)
Step-by-step explanation:
Hi there!
A negative number times a positive number is a negative number. So, since -4 x 6 has one negative number, you can think of it as 4 x 6 and then add a minus sign after multiplying, so -4 x 6 is -24.
In multiplication, no matter which way the equation goes, the answer will always be the same ( 5 x 3 is the same as 3 x 5). Therefore, we are looking for another equation that will also equal -24.
4(-6) is the same because it is still one number that is a negative, and it still equals -24.
6(-4) is the same as well, it's just we're putting the parentheses around the -4 this time.
12 x 2 is 24, so 12(-2) is negative 24 (-24)
I hope this explanation helped you! I'd appreciate if you gave me Brainliest, rated my answer and gave it a Thanks! Have a great day!
Please help ill give brainlist
Answers
Answer:
c. m∠2 = m∠5
Step-by-step explanation:
We can check 1 by 1 and find the false one.
For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.
For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.
For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.
For answer d, measure 2 and 6 are corresponding angles, so that's also not false.
Therefore, the answer must be c.
A rectangle in Quaderant 1 is transformed to produce a congruent rectangle in Quaderent 2. Which could describe the transformation.
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Answer:
A translation
Step-by-step explanation:
The rectangle doesn't change, it just scoots over.
The dimension of a laying block is 6m ×4m×2m .find the total surface area of the block
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See attachment for math work and answer.
{(3, 2), (5, – 1), (6, 7), (3, – 8), (4, 2)} Which set of information is true about the relation shown?
Answers
Answer: the second function
Step-by-step explanation:
A phone company offers two monthly charge plans. In plan a there is no monthly fee, but the customer pays 8 cents per minute of use. In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use. For what amount of monthly phone use will plan a cost more than plan b? Use m for the number of minutes of phone use in a month and solve your inequality for
Answers
Answer:
[tex]m>2.40[/tex]
Step-by-step explanation:
Let m denotes the number of minutes of phone use in a month.
In plan a there is no monthly fee, but the customer pays 8 cents per minute of use.
Total cost of plan a = [tex]8m[/tex]
In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use.
Total cost of plan b = [tex]2.40+7m[/tex]
To find amount of monthly phone use for which plan a cost more than plan b, solve the inequality [tex]8m>2.40+7m[/tex].
[tex]8m>2.40+7m\\8m-7m>2.40\\m>2.40[/tex]
PLEASE HELP!! I'M VERY CONFUSED
Answers
Now this is the kind of tricky part. You have to break the exponents into 3rds. Turn the x^4 into x^3*x^1. The x^3 has a perfect cubed root of just x, now bring that out but keep the other x underneath the radical. Repeat this for the other exponents where it actually applies.
In the end, I brung all the perfect roots out and kept the rest underneath the radical. It turns out the two radicals are the same and they cancel. The 2’s also cancel. You’re stuck with:
xz^3
The Chicago Cubs attendance is approximately 42,000 fans per game what will be their total attendance after 10 games?
Answers
Answer:
420,000
Step-by-step explanation:
Write equations of the horizontal and vertical lines that pass through (−5,−4).
Horizontal-
Vertical-
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Horizontal line:
y=-4
Vertical line:
x=-5
Explanation:
Equation of a horizontal line:
y=b
B is the y-intercept (the point on the line that crosses the y axis)
Equation of a vertical line:
x=d
D is the x-intercept (the point on the line that crosses the x axis)
To find the values of b and d, we just need to look at the coordinate and see what’s in place of the x and y variables.
(x,y)
(-5,-4)
-5 is the x coordinate and -4 is the y coordinate. Therefore,
y=-4
x=-5
I hope this helps! Please comment if you have any questions.
how can I put the problem into a sentence please help !
Answers
ASAP ASAP PLEASEEEEE! WILL GIVE BRAINLIST
Answers
Answer:
A: -6r+6
Step-by-step explanation:
[tex]8-\left(6r+2\right)[/tex]
[tex]-(6r+2)=-6r+2[/tex]
[tex]=8-6r-2[/tex]
[tex]8-6r-2=-6r+6[/tex]
[tex]=-6r+6[/tex]
For the functions f left parenthesis x right parenthesis equals 6 minus x squared and g left parenthesis x right parenthesis equals x squared plus 4 x minus 12, find fplusg, fminusg, fg, and StartFraction f Over g EndFraction . Determine the domain for each function.
Answers
Answer:
Step-by-step explanation:
Given the functions
F(x) = 6-x²
G(x) = x²+4x-12
A) we are to find F(x)+g(x)
F(x)+G(x) = 6-x²+x²+4x-12
F(x)+G(x) = 6+0+4x-12
F(x)+G(x) = 4x+6-12
F(x)+G(x) = 4x-6
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
F(x)-g(x) = 6-x²-(x²+4x-12)
F(x)-g(x) = 6-x²-x²-4x+12
F(x)-g(x) = 6-2x²+4x+12
F(x)-g(x) = -2x²+4x+6
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
3) F(x)/G(x)
= 6-x²/x²+4x-12
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
what's the greatest common factor for 22 and 55
Answers
Answer: 11
Step-by-step explanation: the factors of 22 are 22, 11 and so on, and the factors of 55 are 55, 11 and so on hope this helped❤
The greatest common factor for 22 and 55 is, 11.
We have to given that;
Numbers are,
22 and 55
Since, The highest number that divides exactly into two more numbers, is called Greatest common factors.
Here, Factors are,
22 = 2 x 11
55 =2 x 11
Thus,
The greatest common factor for 22 and 55 is, 11.
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Luis helped raise money for his school by jogging in the school jog-a-thon. The total
amount of money he raised can be represented by the expression 1.75m, where mis
the number of miles he jogged. If Luis raised a total of $21, how many miles did he jog?
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Answer:
12
Step-by-step explanation: simple division
is this correct or should it be RWI??
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I will mark BRAINLYLIST if correct plzzzz helppppp
Answers
Answer:
107
Step-by-step explanation:
it looks like a right angle
Answer:
The answer is 107 degrees.
Step-by-step explanation:
The sum of all the angle of a triangle must equal 180 degrees. That being said if you grab 180 and subract 44 and 29 from it you get 107 degrees. 107+44+29=180. If this did not equal 180 the answer would be wrong but since it does it is right.
what is 342+8837+377+3893+39845
Answers
Answer:
53,294
Step-by-step explanation:
value of 5/6 divided by 3/4?
Answers
Answer:
1 1/9
Step-by-step explanation:
Correct answer will be awarded with brainliest answer