What is the area of a triangle whose vertices are
R(−4, 2),S(1, 2), and T(−5, −4)?
Enter your answer in the box
Answers
15 square units.
EXPLANATION
This triangle has one of its height(altitudes) falling outside the triangle.
We determine the base using absolute value method. This is because the coordinates of [tex]R(-4,2)[/tex] and [tex]S(1,2)[/tex] tell us that this line is horizontal. The y-values are constant.
Therefore [tex]|RS|=|1--4|[/tex]
[tex]\Rightarrow |RS|=|1+4|[/tex]
[tex]\Rightarrow |RS|=|5|[/tex]
[tex]\Rightarrow |RS|=5[/tex]
Also
The triangle is bounded between [tex]y=2[/tex] and [tex]y=-4[/tex].
Therefore the vertical height of interest,
[tex]|RT|=|-4-2|[/tex]
[tex]|RT|=|-6|[/tex]
[tex]|RT|=6[/tex]
We can now find the area using the formula
[tex]Area=\frac{1}{2}base\times height[/tex]
[tex]Area=\frac{1}{2}\times6 \times 5[/tex]
[tex]Area=3 \times 5[/tex]
[tex]Area=15[/tex] square units
Related Questions
A = bh; A =96, b = 12 What does h equal?
Answers
Final answer:
To find the height h, divide the area A (96) by the base b (12) to get h = 8.
Explanation:
The problem statement A = bh is a formula to calculate the area of a rectangle, where A is the area, b is the base or width, and h is the height. You're given that the area A is 96 and the base b is 12; you need to find the height h. You can rearrange the formula to solve for h by dividing both sides by b:
h = A / b.
Plug in the values that you know:
h = 96 / 12 = 8.
So, the height h equals 8.
PLZ HELP ASAP!! I will give brainliest!!!
53*(3 1/5-4 1/2)/(2 3/4+1 2/3) Plz give ur answer as a mixed number!!
Thanks!!! Plz give the right answer!!
Answers
9 divided by 3/2?????????????
Answers
= 9 (2/3)
= 6
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Which expression can be used to find the slope of a line containing points (-3,2) and ( 7,-1)
Answers
7+3=10
slope is -3/10
y-2= -3/10(x+3)
y-2=(-3/10)x-9/10
y-2=(-3/10)x - 9/10
y=(-3/10)x+ 11/10
branliest offered 10 points for each question
least to greatest
square root of 8, -2/5, -1, 0.6, square root of 6
-8,3, negative square root of 5, 2.6, -1.5, square root of 5
-8.3,negagitive square root of 80, -17/2, -8.25, negative square root of 100
Answers
2. -8.3, negative squ rt of 5, -1.5, squ rt of 5, 2.6
3. neg. squ rt of 100, -17/2, neg. squ rt of 80, -8.3, -8.25
HOPE IT HELPED
There were 5 people who bought tickets to a football game. They bought 3 tickets each. How many tickets were bought in all?
Answers
5 times 3 = 15
15 tickets in all
five people who each bought 3 tickets
Or,
five groups of 3 tickets.
So five groups of 3 tickets would be,
3 + 3 + 3 + 3 + 3,
or 3 * 5.
3 * 5 = 15.
In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?
Answers
What is the length of BC?
Enter your answer in the box.
BC=
Answers
BC= 36
BD is congruent to DC, same measures.
BC=36 BD is congruent to DC same measure
Doug is going to the store to stock up on food for his dog. While in the store, Doug decides to buy a single bag of dog treats as well. If a large bag of dog food costs $57 and a bag of dog treats costs $9, how many large bags of dog food, x, did Doug buy if he spent $180 and all prices already include sales tax?
Answers
180 - 9 = 171
If each bag of dog food costs $57 then we just divide it with the remaining total.
171 / 57 = 3
WHICH MEEEAANNNS:
Doug bought 3 bags of dog food. c:
Final answer:
To find the number of large bags of dog food Doug bought, use the given prices and total spent in the store.
Explanation:
Doug bought 3 large bags of dog food.
To solve this problem, we can set up the equation: $57x + $9 = $180. From here, we can find x by rearranging the equation to solve for x.
Therefore, Doug bought 3 large bags of dog food, as each large bag costs $57 and he spent $180 in total.
what is -1/3+5(negative one over three plus 5) please help me im confused
Answers
Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?
a −(1.3−4.9)+(−2.6)
b −1.3+(4.9+2.6)
c (1.3+4.9+2.6)
d −1.3−(4.9+2.6)
Answers
The equivalent expression to -1.3+(-4.9)+(-2.6) is -1.3 - 4.9 - 2.6, which is represented by option d, -1.3 - (4.9 + 2.6).
Explanation:The subject of this question is a mathematical calculation, more specifically adding negative numbers.
To answer the student's question about which expression is equivalent to -1.3+(-4.9)+(-2.6), we first need to understand that adding a negative number is the same as subtraction. Therefore, the expression can be written as -1.3 - 4.9 - 2.6.
If we look at the options:
Option a, −(1.3−4.9)+(−2.6) is not correct because subtracting a negative number should be the same as adding; Option b, −1.3+(4.9+2.6) is incorrect as well; Option c, (1.3+4.9+2.6) is not equivalent because the signs of all numbers are positive; Option d, −1.3−(4.9+2.6) is indeed the correct option, because it represents the operation of subtraction as originally described. Learn more about Adding negative numbers here:
https://brainly.com/question/4342726
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Ninety one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach Link correct. Explain why or why not.
Answers
Actually I believe that Coach Link is incorrect in saying that he can only make 91 teams of 1 or 1 team of 91.
To find the number of teams he can make, we have to find the whole number that can divide 91 and give also a whole number answer. In this case, I found it to be 7.
91 / 7 = 13
So this means that Coach Link can also make 7 teams of 13 or 13 teams of 7.
Is 4x + the square root of y = 12 a linear function
Answers
Therefore, the x value has a power, so it would be a curved line
The equation 4x + √y = 12 is a non-linear function because of the square root term. Non-linear functions do not have a constant rate of change and their graphs are not straight lines.
Explanation:The equation 4x + √y = 12 is not a linear function. A linear function is defined as a function that can be represented by a straight line. However, this equation contains a square root term, which makes it a non-linear function. To determine the type of function, it is important to consider the rules and properties of different function types.
In this case, the equation represents a non-linear function because of the square root term. Non-linear functions do not have a constant rate of change and their graphs are not straight lines. The square root term introduces a curve in the graph.
For example, let's say y = 4, then we can solve for x: 4x + √y = 12, which simplifies to 4x + 2 = 12. Solving for x, we get x = 2. So, for y = 4, x = 2. If we continue to substitute different values for y, we will see that the relationship between x and y is not linear.
Learn more about Non-linear functions here:https://brainly.com/question/34624077
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Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent. Which is a possible next step? Simplify the expression by adding and subtracting from left to right. Combine like terms within the parentheses. Combine all x-terms. Distribute the 3 to each term in the parentheses by multiplying.
Answers
3(2x - 6 - x - 1)^2 - 2 + 4x
3(x-7)^2 - 2 + 4x
3 (x^2 -14x +49) - 2 + 4x
3x^2 - 42x + 147 - 2 + 4x
Answer:
Distribute the 3 to each term in the parentheses by multiplying.
Step-by-step explanation:
3(2x – 6 – x + 1)^2 – 2 + 4x
In Step 1 she simplified within the parentheses.
The expression becomes [tex]3(x-5)^2 - 2 + 4x[/tex]
In Step 2 she expanded the exponent.
After expanding the exponent (x-5)^2 it becomes (x^2-10+25)
[tex]3(x^2-10+25) - 2 + 4x[/tex]
In the next step we distribute 3 inside the parenthesis in order to remove the parenthesis .
Answer: Distribute the 3 to each term in the parentheses by multiplying.
Write an equation for the vertical translation. y=1/2x; 18 units down
Answers
To write an equation for a vertical translation, subtract the amount of the translation from the original equation. In this case, the equation y = 1/2x becomes y = 1/2x - 18, representing a vertical translation of 18 units downwards.
Explanation:To write an equation for the vertical translation, we start with the equation y = 1/2x. Since we need to shift the graph 18 units down, the equation becomes y = 1/2x - 18. This equation represents a vertical translation of 18 units downwards.
Please help me :/ If AB=BC, then DE=2(AB). AB=6 and BC=6. What can you conclude
Answers
Given AB = BC = 6, and DE = 2(AB), then DE = 2 * 6 = 12. Therefore, DE equals 12 units.
Explanation:In the problem, it's stated that AB = BC = 6 units. This means that both AB and BC are equal in length, each measuring 6 units. As per the given relationship, DE is twice the length of AB. Substituting the known value of AB as 6 units into the expression for DE, we get DE = 2 * 6 = 12 units.
The equality of AB and BC implies that the triangle ABC is an isosceles triangle, where AB and BC are the congruent sides. Consequently, the line segment DE, which is related to AB, shares the same length as BC, making DE also equal to 6 units. However, as per the given relationship DE = 2 * AB, DE is calculated as 2 times the length of AB. Substituting AB = 6 units into the equation, DE = 2 * 6 = 12 units.
Therefore, following the given relationship between DE and AB and using the fact that AB = BC, we can confidently conclude that the length of DE is 12 units. This is determined by doubling the known length of AB, which is established by the equality of AB and BC in the context of an isosceles triangle.
15 pts!! Find an equation of the line that satisfies the given conditions: through (2,4) & parallel to the x axis.
Answers
y = mx + b
y = 0x + b
Now lets plug in our point:
y = 0x + b
4 = 0(2) + b
4 = b
So;
y = 0x + 4
y = 4
Hope this helps!
What is the value of the expression ?
Answers
The value of this expression is [tex] 3 x 10^{6} [/tex]
In order to find this, you divide each term separately. First we'll start with the numbers in the front.
[tex] \frac{4.8}{1.6} = 3 [/tex]
Now that we have the first number, we look to the 10s and the powers they are raised to. Since we are looking at powers of the same number, we can use the properties of exponents to simply subtract the numbers they are raised to.
[tex] \frac{10^{9}}{10^{3}} = 10^{6} [/tex]
Then we put the two back together for the final answer.
[tex] 3 x 10^{6} [/tex]
You are going running. For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn. The relationship between these two variables can be expressed by the following equation: c=100m, equals, 100, m Identify the dependent and independent variables.
Answers
The number of miles you run is Independent and the calories you burn is Dependent
Answer:
C is the dependent variable
m is the independent variable
Step-by-step explanation:
For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn
C= 100m
Number of calories burn depends on the number of miles you run
So calories C depends on the miles 'm'
C is the dependent variable because it depends on the value of 'm'
m is the independent variable
how to factor x^4+x^2-20
Answers
(8 - 4)x + 6 which property is being used?
Answers
Volume is a three-dimensional measure.
true
false
Answers
8x-34=5x+2. What is x?
Answers
3x = 36
3x/3 = 36/3
x = 12
hope this helps
I hope this helps! :>
Convert 45 miles per hour to feet per hour. Round your answer to the nearest hundredth, if necessary.
Answers
1 mile = 5280 feet
45 x 5280 = 237,600 feet per hour
Write the equation of the line in standard form when the slope is -7 and the line goes through
(-2, 5). Graph the line.
Answers
So all we need to do is input them in!
(y-5)=-7(x+2)
Some explanations here:
Why is the 5 and 2 in those places? Why aren't they backwards?
That is because the x number should always go with the x variable and the same with y.
Why is 2 positive?
It is very hard to explain, but the number becomes a positive when the number is negative. It's just how it works. Ask Einstein.
To change from one unit to another in the metric system, multiply or divide by multiples of (answer).
Answers
Answer:
To change from one unit to another in the metric system, multiply or divide by multiples of 10.
Step-by-step explanation:
what is the value of the expression? (11 - 4) * (6 + 5) A.18 B.47 C.77 D.117
Answers
11-4=7
6+5=11
Rewrite the expression
7*11
Evaluate
77
Final answer: C
2.
The range of the following relation: R: {(3, -2), (1, 2), (-1, -4), (-1, 2)} is (1 point)
a) {-1, 1, 3}
b) {-1, -1, 1, 3}
c) {-4, -2, 2, 2}
d) {-4, -2, 2}
Answers
The 2 is not repeated in the set.
Answer:
D.
Step-by-step explanation:
The range is the (y) value. And you never repeat a number when finding the relation or domain (x). Therefor the best answer would be D.
Its not A because the numbers are for the domain (X value; First column)
Not B because its also for the Domain and it repeats -1 twice
Not C because it repeats 2 twice
Making D the reasonable answer
I hope this helps :))
whats the simple answer and way to solve -46+ x=25
Answers
-46+x=25
add 46 to both sides (you do the inverse!)
x=71
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
Answers
Answer:
Check: He used an incorrect time ratio converting hours to minutes
Check: He incorrectly concluded that she is not running fast enough
Do not check: His units do not cancel
Do not check: He used an incorrect distance ratio converting miles to feet
Do not check: He cannot determine her average rate in miles per hour after only 15 minutes
Step-by-step explanation:
You're welcome bud :)