Answer:
The area of the triangle is 48 unit²
Step-by-step explanation:
The given vertices of the triangle are;
(-2, 5), (-4, -3), and (3, 1)
The formula for finding the area of a triangle with given coordinates of the vertices is as follows;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2}\times \left | x_1\cdot y_2 - x_2\cdot y_1 + x_2\cdot y_3 - x_3\cdot y_2 + x_3\cdot y_1 - x_1\cdot y_3\right |[/tex]
Substituting gives;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}-2& 5 & 1\\ -4 & -3 & 1\\ 3 & 1 & 1\end{vmatrix} \\\Delta = \dfrac{1}{2}\times \left | (-2)\times (-3) - ((-4)\times 5) + (-4)\times 1 - 3\times (-3) + 3 \times 5 - (-2)\times 1\right | \\\Delta = \dfrac{1}{2}\times \left | 6 +20 -4 +9 + 15+2\right | = 48[/tex]
The area of the triangle = 48 unit².
Betsy participates in a scavenger hunt that requires her to retrieve items from 4 locations. The locations are on a map with the coordinates as given:
Location 1 is at (−4, −1).
Location 2 is at (−4, 4).
Location 3 is at (3, 4).
Location 4 is at (3, −1).
The paths from one location to another are straight lines. One unit on the coordinate grid equals 10 yd. Betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1.
What is the total distance Betsy has traveled?
Answer:
240 yd
Step-by-step explanation:
Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.
Consider the figure in the attached file.
We need to find the total distance traveled by Betsy.
The distance covered by Betsy is
length of segment AB length of segment BC length of segment CD length of segment DA.
To find the distance AB, we need to find the distance from A to B on y-axis.
So, length of segment AB units
To find the distance BC, we need to find the distance from B to C on x-axis.
So, length of segment BC units
To find the distance CD, we need to find the distance from C to D on y-axis.
So, length of segment CD units
To find the distance DA, we need to find the distance from D to A on x-axis.
So, length of segment DA units
Hence, the total distance covered is units
It is given that 1 unit equals 10 yd, so distance traveled by Besty is yd
What do you need to add to 5 7/8 to make 8
Answer:
[tex] 2 \frac{1}{8} [/tex]
Step-by-step explanation:
[tex]8 - 5 \frac{7}{8} \\ \\ = 8 - \frac{5 \times 8 + 7}{8} \\ \\ = 8 - \frac{40 + 7}{8} \\ \\ = 8 - \frac{47}{8} \\ \\ = \frac{8 \times 8 - 47}{8} \\ \\ = \frac{64 - 47}{8} \\ \\ = \frac{17}{8} \\ \\ = 2 \frac{1}{8} [/tex]
Step-by-step explanation:
5 7/8+x=8
x=8-5 7/8
l.c.m of denominators=8
=3 3/8
science pls answer I give brainliest
Answer:
I would say B
Step-by-step explanation:
Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
There are three fourth grades classrooms (A, B, and C) at the local elementary school. Room A contains 12 children, Room B contains 18, and Room C contains 24 children. All the fourth graders get together to play a game in the middle of the day. The teachers want the children to be on teams with their own classmates but all the teams also need to be of equal size. Can you find the largest size of the teams so that each team contains only children from the same classroom?
Answer:
The largest size of the teams would be 6 if you wanted all teams to be the same size and consist of only members from their own room.
Step-by-step explanation:
In order to solve this, you need to find the greatest common factor. The highest number that can go into 12, 18, and 24 evenly would be 6.
Answer:
2 teams of 6 for class A, 3 teams of 6 for class B. and 4 teams of 6 for class C
Step-by-step explanation:
We are given the total amount of students in each class. 12,18,24. In order to separate these we have to find the common denominator among all the classes total numbers. 6 is a common denominator between them all as we can break it down to the number thats most common. Take the total number of students in each class and divide it by six. That is the total number of groups to be equal among them all.
Find the difference between 7/10 and 1/5.
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
MORE.FREE.POINTSS.
"I'm a cowboyy babyy"
this ones less points, BUT STILL
Answer:
thx may i have brainliest to plz i so close to next rank
Step-by-step explanation:
Answer:
bbbbbbbbbbbbbbbbbb
Step-by-step explanation:
popppppppppppppppppppppppppppppp
help me please i turn this in 5 minutes
Answer:
Its B
Step-by-step explanation:
50/10=5
Answer:
B. The store made a profit of $5.00 per store.
Step-by-step explanation:
As you can see on the graph, there is a point (200 , 40).
now i will use this equations:
200/40 = x
40 = number of shirts sold
200 = profit made from 40 shirts
x = amount of money per shirt sold.
200/40 = 5
Each shirt is sold for $5.00
PLS HELP!!
Find the value of x. Show any calculations used to find your answer.
========================================
Work Shown:
(small vertical)/(large vertical) = (small horizontal)/(large horizontal)
8/x = 16/40
8*40 = x*16 .... cross multiply
320 = 16x
16x = 320
x = 320/16 .... divide both sides by 16
x = 20
Note: there are other proportions you could set up such as 8/16 = x/40. The key here is that whatever equation you set up, it must cross multiply to 16x = 320 so that you get the same solution.
Explain why the vertical line does not represent a linear function.
y
5
G C
1
2 2
4 5 r
The vertical line has
for the input I
> EMERGENCY
Answer:
Its my first answer but may i have a brainlist please im new
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
Convert the expression (5x + 2)(x - 7) from factored form to standard form
Answer:
(5x + 2)(x - 7) = 5x² - 33x - 14Step-by-step explanation:
[tex](5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14[/tex]
The info is in the picture
Answer:
no it isn't the inverse.
36x-2 + 34x+2 = 180 solve
Answer:
First, collect the like terms
36x+34x=180+2-2
Solve,
74x=180
x=180/74
2.43243243243
When you round it, it will be approximately,
x≅2.43
Step-by-step explanation:
I hope it helped please give me brainliest
Answer:
[tex]x = \frac{18}{7} [/tex]
Please please help me i'm begging you!
Answer:
A is 8 ounces/ 12 cupcakes is 12 cupcakes/8 ounces I'm not sure about C and D is 18 cupcakes for 12 ounces of frosting
Step-by-step explanation:
Find the surface area of the rectangular prism.
8 yd
4 yd
5 yd
Answer:
A=184
Step-by-step explanation:
What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?
Answer:
Step-by-step explanation:
Given
slope =6/5
point =(5, -4)
So
the equation of the line =
(y-y1)=m(x-x1)
Where X1=5,y1=-4,m=6/5
Put the values
(Y+4)=6/5(x-5)
5(Y+4)=6(x-5)
5y+20=6x-30
5y-6x=-30-20
-6x+5y=-50
6x-5y=50.
So the equation of the line is 6x-5y=50.
3(a+b)=a+2 make a subject of the formula
Answer:
a = 2 - 3b
2
Step-by-step explanation:
3(a + b) = a + 2 expand
3a + 3b = a + 2
3a - a = 2 - 3b
2a = 2 - 3b
a = 2 - 3b
2
Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.
=============================================
Work Shown:
(2a^2+b)(3a-3b)
c(3a-3b) ..... let c = 2a^2+b
3ac-3bc .... distribute
3a(c)-3b(c)
3a(2a^2+b)-3b(2a^2+b) .... plug in c = 2a^2+b
3a(2a^2)+3a(b)-3b(2a^2)-3b(b) ... distribute
6a^3+3ab-6a^2b-3b^2
6a^3-6a^2b+3ab-3b^2
You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.
a. Find (f + g)(x).
b. Find (f + g)(3).
Use the functions f(x)=x+5 g(x)=2x+1
Answer:
Step-by-step explanation:
[tex](f+g)(x) =f(x) + g(x)\\f(x) = x+ 5\\g(x) = 2x + 1\\(f+g)(x) = x+ 5 + 2x + 1\\(f+g)(x) = 3x + 6\\\\(f+g)(3) = 3(3) + 6 = 15[/tex]
In 1902, the yearly attendance at a major league baseball park was 3.4×10^5 people. One hundred years later, the yearly attendance was 1.7×10^6 people. How many times greater was the attendance in 2002 than in 1902?
Answer:
1,360,000
Step-by-step explanation:
1,700,000-340,000 = 1,360,000 or 1.36×10^5
Let f(x)=|x| and g(x)=x+2. What are the domain and range of (f•g)(x)?
Answer:
Step-by-step explanation:
f(x) = | x |
g(x) = x + 2
y = | x + 2 |
Domain: all real numbers
Range: y ≥ 0
classify each number as an integer or a not integer
Answer:
can't really do that.
Step-by-step explanation:
whats the numbers lol
Answer:
0, -5, 3 = Integers 8.1, 1/2, =2.5 = Not an Integer
Step-by-step explanation:
Edge 2021
what is 2+2-3+7-9+23-6+78-34+89
what does that equal
2+2-37-9+23-6+78-34+89 = 149
Answer:
149
Step-by-step explanation:
2+2-3+7-9+23-6+78-34+89
2+2+7+23+78+89=201
3-9-6-34=52
201-52
149
2.5 miles into _______inches
Which of these is equivalent to 8: 5
3:4
3:7
4:2
4:3
Pls help
Answer:
I'm not 100% if its right but I think its 4:2.
Step-by-step explanation:
Answer:
the closest one i think is 4:3(dont get mad at me if its wrong)
Step-by-step explanation:
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
[tex] \longrightarrow [/tex] l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
I need help, confused.
Answer:
x=90
Step-by-step explanation:
it is a square so: 360/4=90
Help!! I gotta turn it in a few minutes
Answer: 4/21
Step-by-step explanation:
1/7 = 6/42
2/3 = 28/42
28+6=34
42-34=8
8/42=4/21
Hello help with question please :)
Answer:
A
Step-by-step explanation:
slope is (y2-y1)/(x2-x1)
anyhow that comes out to -3/2
the only place that actually applies is in A
Answer:
A
Step-by-step explanation:
6=-3/2×-2+3
6=3+3
6=6
-3=-3/2×4 + 3
-3=-6+3
-3=-3
