The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
[tex]A=\frac{1}{2} bh[/tex]
b is the base of the triangleh is the height of the triangleGiven the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]
The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]
Substituting the coordinate points:
[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]
Recall that:
[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]
Hence the corresponding height of the triangle is 1.6 units
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Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?
Answer:24
Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24
What is the interest on $600 when it is placed for four years in a bank account that gives 2% simple interest
Answer:
12, or if its yearly, 48.
Caleb scores 3 more than 2 times the number of points that Brian scores. Create an expression that represents the number of points Caleb scores if Brian scores r points
Answer:
r = (x·2) + 3
Step-by-step explanation:
i need help no links
Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st
The reason why the given graph relation is considered to be a function is because;
A. Yes, because every x-value corresponds with a single y-value.
From the given graph, we see the (x, y) coordinates as;
(5, 4)
(7, 2)
(6, 9)
(3, 10)
Now, we see that none of the x-values are the same and likewise none of the y-values are the same.
This means that each of the x-values have a unique y-value.
Thus, it can be said to be a function
Read more about properties of functions at;https://brainly.com/question/18427017
Please answer hurrryy
Answer:
the answer is 270714.285714 or just 270714.2 careful \
Step-by-step explanation:
3x-6y=2 and 4x-6y=2 solve by substitution
first you have to choose one of the equations and isolate one of the variables
3x - 6y = 2
-6y = 2 - 3x
y = 2/-6 + 1/2
then you have to substitute it in the other equation
4x-6(2/-6 + 1/2) = 2
4x + 2 - 3 = 2
4x - 1 = 2
4x = 3
x = 3/4
after that you solve for y
3 (3/4) - 6y = 2
9/4 - 6y = 2
-6y= - 1/4
y= 24
THIS MAY NOT BE RIGHT BTW
(25 points) Which statement describes the point (2, 6) ?
The point is on the x-axis.
The point has an x-coordinate of 2 and a y-coordinate of 6.
The point has an x-coordinate of 6 and a y-coordinate of 2.
I don't know.
The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
The coordinate is written as (x,y)
Here, x is the horizontal distinctions and y is the vertical distinctions.
In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.
Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".
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Find the distance between two points of P(1,2)and Q(3,4)
Answer:
I think this is the answer. hope it will help you
Step-by-step explanation:
p={1,2}
Q={3,4}
distance=\sqrt{{(x2-x1)^2-(y2-y1)^2}
=\sqrt(3-1)^2-(4-2)^2}
=\sqrt{(2)^2-(2)^2
=0 units
please mark as brainliest and thank if it helps...
Is this correct? And if it is, what's the solution?
Answer:
No the graph is not correct. The point of intersection is (-3, 4)
Points on line y = x + 7 are (-3, 4) (0, 7) and (2, 9)
Points on line y = -1/3x +3 are (-3, 4) (0, 3) and (-6, 5)
Step-by-step explanation:
y = x + 7 do not change
y = -1/3x + 3 substitute into the top equation and solve for x
-1/3x + 3 = x + 7
-3 = -3
-1/3x = x + 4
- x = -x
-1 1/3x = 4
- 4/3x = 4 Changed -1 1/3x to -4/3x
x = 4/ -4/3
x = -3
y = x + 7
y = -3 + 7
y = 4 Point of intersection is (-3, 4)
Maria earns $12/hour as a store clerk. This week she worked 49 hours. Estimate her
gross wage for her 2 week pay period, assuming she worked 40 hours last week?
Answer:
a= $1,068 without overtime pay
b= $1,122 with overtime pay
Step-by-step explanation:
[tex]a = (12 \times 49) + (12 \times 40) \\ = 1068[/tex]
[tex]b = (9(12 \times 1.5) + (12 \times 40)) + (12 \times 40)\\ = 1122[/tex]
i will make you brainliest
[tex](1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12[/tex]
[tex](4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5[/tex]
A light bulb can be at most 50 watts to be safely used in this light fixture
y+5=2/1(x-2) into standard form
[tex](x + 1 - \frac{1}{2} \sqrt{10)} [/tex]
please help me!
ty :D
Answer:
x = 3,0 y = 0, -4
Step-by-step explanation:
Answer:
x - intercept (0, 3)
y - intercept (-4, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.
A probability is the number of desired outcomes divided by the number of total outcomes.In a dice, there are 6 sides, one of which is a roll is 1, then:
[tex]p = \frac{1}{6}[/tex]
There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.
For more on probabilities, you can check https://brainly.com/question/24437717
Plzzzz help mee plzzzzzzz
Answer:
A. 20%
Step-by-step explanation:
Hope it helps!
are 3x + 2 and 3 (x + 2 ) equal
Answer:
No
Step-by-step explanation:
Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.
please answer thisss
Answer:
ask assistance from someone close to you,it's a practical question.
Mathematic 14 dont undertsqnd
Pls pls I just need the equation to this thank you so much!
Answer:
5.00+5.5+5.10+5.15+5.20+5.25= x
x is whatever the cost is.
if you want x, it is.... 31.2
or
y=5.00+5.5+5.10+5.15+5.20+5.25
If you want the equation in linear form (as in y= _x+b), then it is:
y=0.001x
sorry if im wrong! :D
Step-by-step explanation:
Just ask!
Hope this helps... :)
PLEASE HELP ASAP!!!!
Answer:
I think its D? I'm not sure sorry if I get it wrong
What number is halfway between 6.7 and 11.9
Answer:
2.05
Step-by-step explanation:
To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.
-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9
Having an even (8) number of values, the median is the midway point between the two middle numbers.
In our case the two middle numbers are 0.5 and 3.6
(0.5+3.6)/2
Median=2.05 (In words: two && 5/100)
Will mark brainliest
Answer:
E ( 1 , -1 ) is in quadrant IV
Marco runs 4 kilometers every morning. He takes 2 minutes for the first 500 meters, 4 minutes for the next 2000 meters, 1 minute for the next 700 meters, and 3 minutes for the rest.
Marco’s average speed for the entire run is__320___ meters per minute. Hint : One kilometer is the same as 1,000 meters.
Answer: 400 meters per minute.
Formula to find average speed: total time / total distance
Total time taken is 2+4+1+3 which is 10 minutes.
Total distance traveled is 4 kilometers.
(Unitary method)
In 10 minutes Marco runs 4 kilometers.
In 1 minute Marco will run 4/10 (0.4)kilometers.
Now to convert 0.4 kilometers to meters,multiply it by 1000.
0.4 * 1000 is 400 meters
so the final answer is he will run 400 meters in 1 minute.
Write an equation in slope intercept form for the graph of the line.
Answer:
y = 2x - 3Step-by-step explanation:
Slope intercept form:
y = mx + b, where m - slope, b - y-interceptTake two points from the graph:
(2, 1) and (3, 3)Find the slope:
m = (3 - 1)/(3 - 1) = 2/1 = 2Find the y-intercept using point (2, 1) and the equation above:
1 = 2*2 + bb = 1 - 4b = -3The line is:
y = 2x - 3Answer:
Y = 2x - 3 or Y = 8/3x - 3
Step-by-step explanation:
Y = mx + b
we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.
and thus we are 5 units away from 3 which is m = a/c = 8/3
m = 8/3
y = 8/3x - 3
it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2
and so the equation would turn out to be -
y = 2x -3
what do you do to multiplay 100
x 300
Answer: 30000
Step-by-step explanation:
[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]
Please someone help me with this question
- BRAINLIEST answerer
drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.
Inequalities are used to represent unequal expressions.
The inequalities are given as:
[tex]x - 99 \le -104[/tex]
[tex]x - 51 \le -43[/tex]
[tex]150 + x \le 144[/tex]
[tex]75 < 69 - x[/tex]
Start by solving for x in all the inequalities
[tex]x - 99 \le -104[/tex]
Make x the subject: Add 99 to both sides
[tex]x \le 99 - 104[/tex]
[tex]x \le -5[/tex]
[tex]x - 51 \le -43[/tex]
Make x the subject: Add 51 to both sides
[tex]x \le 51 - 43[/tex]
[tex]x \le 8[/tex]
[tex]150 + x \le 144[/tex]
Make x the subject: Subtract 150 from both sides
[tex]x \le 144 - 150[/tex]
[tex]x \le -6[/tex]
[tex]75 < 69 - x[/tex]
Make x the subject: Add x to both sides, and subtract 75 from both sides
[tex]x < 69 - 75[/tex]
[tex]x < -6[/tex]
Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]
See attachment for the number graphs
Read more about inequalities at:
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1)Kamala’s mother gave her a 100 Rupee note .Kamala bought a pen for Rs.68.50.How much money will be left with her?
Answer:
100- 68.50 = 31. 50 rupees
Step-by-step explanation:
that is 31 rupees and 50 paise