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
Help me pleasee......
Answers
Answer:
∠ETM is 56.7
Step-by-step explanation:
168.7 - 112
19 - 3 x 4 ÷ (-6)
Please explain step by step :)
Answers
Answer:
21
Step-by-step explanation:
21
Answer:
21
Step-by-step explanation:
we can simplify -3×4÷(-6) which is equivalent to =2
so grab the 19 and add the simplified expression which is the 2 so 19+2= 21
1. Which lines or segments are parallel? Justify your answer.
C H 45° M А R Segment CM || Segment HA by Converse of the Alternate Interior Angles
Postulate Segment CA || Segment HR by Converse of the Corresponding Angles
Postulate Segment CA || Segment HR by Converse of the Alternate Interior Angles
Postulate Segment CM || Segment HA by Converse of the Corresponding Angles Postulate
Answers
Answer:
Segment CA || Segment HR (by Converse of the Corresponding Angles Postulate)
Step-by-step explanation:
Postulate Segment CA || Segment HR by Converse of the Corresponding Angles
solve the equation:
6x = x^2+ 19
Answers
Answer:
as below
Step-by-step explanation:
6= x^2 + 19
x^2=6-19
x^2 = - 9
sqrt ( x^2) = sqrt (-9) :o sqrt of a negative? yes.. use i for the negative.. this is a complex number .. hope you've been studying those
x = i* sqrt (9)
+- x = i3 so there are technically two answers
x=i3
and -x=i3 often times the negative answer makes no sense.. so you discard it
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality
Answers
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:
1) [tex]2\cdot x >10[/tex] Given
2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]
But if [tex]c < 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]
Hence, correct answer is A.
A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses. What two equations show the relationship between the number of daisies and the number of roses.
Answers
Answer:
The answer is 10
Step-by-step explanation:
it says for every 5 daisies and 2 roses it like getting 2 and putting it into 5 groups which equals
10.
Slope of (-15,-10) (9,8)
Answers
What is it called when you have to pay taxes every year from one of the options below?
Voluntary Compliance or Mandatory Law
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Answer:
I'm pretty sure its mandatory law because you have to pay taxes
According to the rules of significant figures, what is the correct answer to 3.4 x 5
A. 20
B. 17
C. 10
Answers
The temperature on Monday was 78.8°C. The temperature on Tuesday was 6.6°C less than the temperature on Monday. What was the temperature on Tuesday? -
Answers
Answer:
72.2
Step-by-step explanation:
Monday: 78.8
Tuesday: 78.8 - 6.6 = 72.2
solve for w
3 - 3w = 6
Answers
Answer:
w equals negative 1one
The legs of a right triangle are 10 cm and 24 cm long what is the length of the hypotenuse
Answers
Answer:
26
Step-by-step explanation:
the formula for this is A squared plus B squared equals C squared
Answer:
26
Step-by-step explanation:
10(10)+(24)(24)
100+576
676
out of the square root
it is 26
Determine whether the statement is TRUE or FALSE.
1. 5 | 475
Answers
Answer:Not possible to divide really.
Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...
In order to convert this equation to Slope-Intercept Form, you must first isolate y What is the first step in isolating y? 4x + 5y = 10
A. Use the Subtraction Property of Equality to subtract 4x from both sides of the equation.
B. Use the Addition Property of Equality to add 5y to both sides of the equation.
C. Use the Division Property of Equality to divide the equation by 4.
D.
Use the Subtraction Property of Equality to subtract 10 from both sides of the equation.
Answers
Answer:
A. Use the Subtraction Property of Equality to subtract 4x from both sides of the equation.
Step-by-step explanation:
Given equation is 4x + 5y = 10
we have to convert it in slope intercept form
slope intercept form is given by y = mx + c
now seeing the slop intercept form ,
we can say that
we have to isolate y , for that we have to remove 4x from
4x + 5y = 10 from RHS of the equation
to do that we have to subtract 4x from both side as shown below
4x + 5y - 4x = 10 - 4x
this step is called Subtraction Property of Equality to subtract 4x from both sides of the equation
and hence option A is the correct choice
Answer:
A. Use the Subtraction Property of Equality to subtract 4x from both sides of the equation.
Step-by-step explanation:
Write the equation of the line passing through (-3,4) and perpendicular to -2x+7y=-3.
Answers
(2+7-1)divided by 2 over 2
Answers
8
Answer:
The answer is 2
Step-by-step explanation:
[tex](2 + 6) \div 2 {}^{2} \\ \\8 \div 4 = 2[/tex]
Write two inequalities that would have the solution set as graphed below.
Answers
Answer:
The answer is x > -1
Step-by-step explanation:
This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included. So in conclusion, Any number could be used to represent x as long as it is a greater number than -1. I hope this makes sense.
x>-1 and x<-2 are two inequalities that would have the solution set as graphed.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
x>-1 and x<-2 are the solutions of the given graph
This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included.
Any number could be used to represent x as long as it is a greater number than -1.
Hence, x>-1 and x<-2 are two inequalities that would have the solution set as graphed.
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Given: a(x) = 2x-4 Find a (-3)
Answers
.
Explanation: Plug in -3 for the x variables in the equation.
Multiply 2 by -3 to get -6
Subtract -6 by -4, however since they both have negative signs, you actually add to get -10
.
Hopes this helps :)
Consider the equation 1.2x + 4.8y = 18
If we graph the equation, what is the slope of the graph?
Answers
Answer:
-1/4
Step-by-step explanation:
For this equation, first divide both sides by 1.2, to get x+4y=15. Then, subtract x from both sides. Now, with 4y=-x+15, divide by 4. You should get y=-1/4x+15/4 (15/4=3 3/4 or 3.75). The formula y=kx=b, where k is slope, means the slope is -1/4.
PLEASE HELP!!
Given that the point (-9,6) is on the graph of f(x) find the corresponding point for the function-1/2 f (x)
Answers
9514 1404 393
Answer:
(-9, -3)
Step-by-step explanation:
For x=-9, we have f(x) = 6.
For x=-9, -1/2f(x) = -1/2(6) = -3. The corresponding point is (-9, -3).
At an animal shelter, the ratio of cats to dogs is 2:3. If there are 40 cats and dogs altogether, then how many dogs are there?
NEED HELP ASAP!!!!
Answers
Answer:
40:60 so 60 dogs
Step-by-step explanation:
Its multiplied by 20
The value of a car depreciates by 15% each year. The value of the car when new is $14000. WHat will be the value of the car after 1 year.
Answers
Answer:
$11,900
Step-by-step explanation:
Please help! I will give Brainliest! I don't want to fail! (Two questions)
Answers
Answer:
The tip is $7,00 and the equation is C = 13.77p
Step-by-step explanation:
46.95 x 1.15=53.9925
= ans-46.95 = 7.04
or
46.95/100
= ans x 15 = 7.04
Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.
A. 2x + y = 7
B. x + 2y = 11
C. 2x – y = – 3
D. x – 2y = – 9
Answers
Answer:b
Step-by-step explanation:
The equation for the perpendicular bisector of line segment XY is 2x + y = 7, the correct option is A.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The line segment XY has the points X(5, 7) and Y(–3, 3).
The slope of the line is,
m = ( 3 - 7) /( -3 - 5)
m = -4 / -8
m = 1 /2
The product of the slope of a line and a line perpendicular to it is -1.
( 1/2) * m' = -1
m' = -2
As it is a bisector , the midpoint of X and Y will be the point on the line.
Midpoint of XY is ( ( 5 -3)/2 , (7+3)/2 )
Midpoint of XY is ( 1 , 5)
The equation of the perpendicular bisector of line segment XY is,
y = -2x +c
5 = -2 + c
c = 7
So, the equation is,
y = -2x +7
2x +y = 7
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What is the slope of the line passing through the points (-3, 4) and (2, – 1)?
Answers
Answer:
m=-1 or -1/1 (same thing)
Step-by-step explanation:
(y2-y1/x2-x1)
(-1-4)/(2-(-3))=-5/5=-1
Answer:
-1
Step-by-step explanation:
The slope of a line can be written as [tex]\frac{\triangle{y}}{\triangle{x}}[/tex] or [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]. Plugging in the values gives us [tex]\frac{-1 - 4}{2 - (-3)} = \frac{-5}{5} = \boxed{-1}[/tex]
72.4 divided by 4 please help!!!!
Answers
Answer:18.1
Step-by-step explanation:
Each marble bag sold by Jina's Marble Company contains 4 orange marbles for every 3 green marbles. If a bag has 18 green marbles, how many orange
marbles does it contain?
marles
Answers
18/3=6 - 6 groups of 3 green marbles
6x4=24
Select all true statements.
A. All rectangle are squares.
B. All rectangle are parallelograms.
C. All rhombus are parallelograms.
D. All squares are rectangle.
E. All squares are rhombuses.
F. All trapezoid are parallelograms.
Answers
Answer:
A is correct and .. AAAAA
Step-by-step explanation:
A
Answer:
A. is is the one that is correct
Why does the base matter when simplifying negative exponents?
Answers
Answer:
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x–2" (pronounced as "ecks to the minus two") just means "x2, but underneath, as in 1 x 2 \frac{1}{x^2} x21 ".
Step-by-step explanation:
Michelle invests $15,000 in a partnership that has four other partners.The total investment of all partners is $ 240,000. What percent of the business does Michelle own?
Answers
Michelle owns about 6.25% of the total investment.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Michelle invests $15,000 in a partnership that has four other partners. The total investment of all partners is $240,000.
The percentage of investment will be calculated as below:-
Percentage = ( 15000 / 240000 ) x 100 %
Percentage = 00625 x 100%
Percentage = 6.25%
Therefore, Michelle owns about 6.25% of the total investment.
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