On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.
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
Learn more on area of triangles here: https://brainly.com/question/17335144
5/6 x 9/5...............................................................help asap
Step-by-step explanation:
5/6 ×9/5
Multiply the denominators and the numerators separately; that is:
5×9 and 6×5
45 and 30
=45/30
=3/2(simplified)
Answer:
1.5
Step-by-step explanation:
An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If she
must buy 5 ice cream cones, which inequality could
be used to determine the maximum number of
milkshakes she can buy?
Answer:
$7.50+m > $19
The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:
[tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]
The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.
The inequality can be between numbers or algebraic expressions.
In the given case,
Per unit cost of ice cream cone $1.50 Per unit cost of milkshakes $2.00 The total amount for spending is $19.00 Number of ice cream cones bought 5To determine the inequality for the number of milkshakes the inequality will be formed as follows:
The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.
Therefore, the inequality will be [tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]
To know more about inequality, refer to the link:
https://brainly.com/question/11897796
Can someone please help me with this easy math problem?
please help asap!!!!
Answer:
y > x+1 (D)
Step-by-step explanation:
this equation forms the same graph as shown in the question
-3/1x+1=10
Somebody answer please
Answer:
Step-by-step explanation:
3
+
1
−
1
=
1
0
−
1
3
=
9
3
3
=
9
3
=
3 answer
Solving Linear Equations with the Distributive Property
BRAINLIEST IF RIGHT!
Answer:
c = $5.50
Step-by-step explanation:
Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:
c = cost of one cheeseburger
s = cost of one soda
Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.
5s + 5c = 33.75
We are given the price of soda, however, so we can insert that number into the equation for s.
5(1.25) + 5c = 33.75
Then we can simplify and solve for c.
6.25 + 5c = 33.75
5c = 27.5
Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.
c = 5.50
So one cheeseburger costs $5.50.
Hope this helps.
the pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 4
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )
x = 4
help pls will mark brainliest if it is correct, its not 72.
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
The top has 6 faces, so 6 x 2 = 12
The bottom has the same, 12
The left side has 3, 3 x 2 = 6
The front and inside has 6, x 2 = 12
The right side has 2 x 2 = 4
The back has 3 x 2 = 6
12 + 12 + 6 + 12 + 4 + 6 = 52
a train goes 25 kilometers in 45 minutes, how fast would it go in 27 minutes?
Answer:
15km
Step-by-step explanation:
45mins = 25km
1 min =25/45
=5/9
27mins=5/9×27
=15km
You want to determine which cellphone provider would give you the best service. is it Experimental vs. Observational
HELP ME WITH THIS PLEASEEE !
Answer:
34 i think i got it really wrong but...
Step-by-step explanation:
What -3/4 equals 2/3
Answer:
17/12= 1 5/12
Step-by-step explanation:
make the denominator the same as 12
_______ -9/12 =8/12
so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12
What is the cube root of b^27?
Answer:
3 I believe im not 100% sure tho sorry if its wrong
I WILL GIVE BRAINLYEST IF YOU GIVE CORRECT ANSWER Solve for x:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
(-4+2)•(-5+3)/-3 please help
Answer:
-4/3
Step-by-step explanation:
(-4 + 2) • (-5 + 3)/-3
=> -2 • (-2)/-3
=> -2 • 2/3
=> -4/3
Therefore, -4/3 is your answer.
Hoped this helped.
Answer:
The answer is -4/3.
Step-by-step explanation:
(-4+2) = -2
x (-5+3) = -2
-2 x -2 = 4.
=-4/3
I need help with solving this with synthetic division
Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step-by-step explanation:
Set up the synthetic division.
Bring down the leading coefficient to the bottom row.
Multiply c by the value just written on the bottom row.
Add the column created in step 3.
If 3x is one factor of 3x2 – 9x, what is the other factor?
A.)3x
B.)x^2-6x
C.)x-3
Д.)x+3
Step-by-step explanation:
3x²-9x3x(x-3)So another factor is option C.)
So another factor is option C.)(x-3)
solve one step equation
-9x = 45
Answer:
x=-5
Step-by-step explanation:
45÷-9=-5
Given the graph below, find the slope.
A. -3/2
B.3/2
C -2/3
D. 2/3
You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza
that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have
$740 to spend, how many of each type of pizza can you buy?
Answer:
70 pepperoni 30 sausage
Step-by-step explanation:
30 times 6 is 180
70 times 8 is 560
180 plus 560 is 740
Please help me asapppp
ty :)
Answer:
x-intercept: -3 y-intercept: 3
Step-by-step explanation:
Substitute 0 for both variables.
-(0)=3
(0)=3
Answer:
x intercept: [tex](-3,0)[/tex] y-intecept: [tex](0,3)[/tex]
Step-by-step explanation:
So their is two ways to do this.
OPTION 1:
Turn the standern form into slope intercept.
[tex]-x+y=3[/tex]
[tex]y=3+x[/tex]
When [tex]y=0, x=-3[/tex]
Therefore, the y-intercept is 3, and the x-intercept is -3
OPTION 2:
Graph the eqaution, and see where it intercepts
Using desmos, you can graph the equation, then see where it intercepts
It intercepts the x-axis at -3, and the y-axis at 3
a) work out the size of angle x.
b) give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
180° - 105° = 75°
75° = 75°
Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Justin's pays is represented by this line graph.
How much is Justin paid for one hour of work?
Answer:
He is been paid $7 per hour
Step-by-step explanation:
140dollars/ 20 hours
NEED HELP ASAP…………..
Answer:
It is the second answer.
Step-by-step explanation:
=
If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.
Answer:
3x+4
Step-by-step explanation:
f(g(x))=3(x+2)-2
=3x+6-2
=3x+4
Answer:
Step-by-step explanation:
f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).
f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2
f(g(x)) = 3(x + 2) - 2 Now remove the brackets
f(g(x)) = 3x + 6 - 2
f(g(x)) = 3x + 4
I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.
Calculator
What is the value of a?
Answer:
15
Step-by-step explanation:
20^2 + x^2 = 25^2
= 400 + x^2 = 625
= x^2 = 225
= x = 15
Answer:
15
Step-by-step explanation:
20^2 + x^2 = 25^2
= 400 + x^2 = 625
= x^2 = 225
= x = 15
You know what to do
The numbers 5 and -5 are opposites.explain why 5 and -5 have the same absolute value
Answer:
I think because the absolute value is always a positive number.
Step-by-step explanation:
pls answer quickly
which of the following measurement is the smallest?
A) kilogram
B) Gram
C) centigram
D) milligram
Answer:
D, milligram.
Step-by-step explanation:
In latin prefixes, kilo- means 1000, cent- means 1/10, and milli- means 1/1000. This means milli- is the shortest and therefore milligrams are the smallest measurement.
Answer:
Milligram I think
Step-by-step explanation:
I could be wrong however
solve for x & y
plsssss, sorry.
Answer:
[tex]\huge\boxed{x=29;\ y=51}[/tex]
Step-by-step explanation:
This is Isosceles triangle (look at the picture).
We know:
All triangles have internal angles that add up to 180°
Therefore:
[tex](x-2)+(x-2)+(4x+10)=180[/tex]
combine like terms:
[tex](x+x+4x)+(-2-2+10)=180\\\\6x+6=180\qquad|\text{subtract 6 from both sides}\\\\6x=174\qquad|\text{divide both sides by 6}\\\\x=29[/tex]
(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).
Therefore:
[tex]3y+(x-2)=180[/tex]
substitute x = 29 and solve for y:
[tex]3y+(29-2)=180\\\\3y+27=180\qquad|\text{subtract 27 from both sides}\\\\3y=153\qquad|\text{divide both sides by 3}\\\\y=51[/tex]