Answer:
The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
Step-by-step explanation:
From Analytical Geometry, two lines are perpendicular to each other if and only if [tex]m_{1}\cdot m_{2} = -1[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of each line, respectively. According to this, the following expression must be observed:
[tex]m_{AB} \cdot m_{BC} = -1[/tex] (1)
Each slope can be determine by definition of the slope of a Secant Line:
[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
[tex]m_{BC} = \frac{y_{C}-y_{B}}{x_{C}-x_{B}}[/tex] (3)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}[/tex], [tex]y_{B}[/tex], [tex]y_{C}[/tex] - y-Coordinates of points A, B and C.
If we know that [tex]x_{A} = 0[/tex], [tex]y_{A} = 0[/tex], [tex]x_{B} = 50[/tex], [tex]y_{B} = 0[/tex], [tex]x_{C} = 18[/tex] and [tex]y_{C} = 24[/tex], then the relationship between slopes is:
[tex]m_{AB} = \frac{0-0}{50-0}[/tex]
[tex]m_{AB} = 0[/tex]
[tex]m_{BC} = \frac{24-0}{18-50}[/tex]
[tex]m_{BC} = -\frac{3}{4}[/tex]
[tex]m_{AB}\cdot m_{BC} = 0\cdot \left(-\frac{3}{4} \right)[/tex]
[tex]m_{AB}\cdot m_{BC} = 0[/tex]
Which means that both line segments are not perpendicular to each other.
In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.
What is the value of y? Show you’re work
Answer:
Y = 32
Step-by-step explanation:
First traingle is 180 degrees
So 180 - 52 = 128
Then 2y + 2y = 4y
So now 128/4 = 32
If you wanna checl ur answer just put the number in and check if it equal to 180
I get a 15% discount at Ann Taylor Loft. If I find a shirt I like for $20, how much will I have to pay for it?
Find the slope of the line y = 5/8x - 1/2
Answer:
slope = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.
By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is [tex]\frac{5}{8}[/tex].
Final Answer:
[tex]\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}[/tex]
In-depth explanation:
The question is asking us to find the slope of the line, whose equation is;
[tex]\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}[/tex]
The format of this equation is: [tex]\boldsymbol{\sf{y=mx+b}}[/tex]. This is known as slope-intercept; it's the most common way of writing the equation of a line.
In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.
Also, the slope is the number before x, while b is the constant term.
Similarly, the slope is 5/8 and the y-intercept is -1/2.
[tex]\rule{350}{2}[/tex]
URGENT!
need help
...
Answer:
92°
Step-by-step explanation:
If ΔABC ≈ ΔPQR then ∡A = ∡P
∡P is 92° so ∡A is 92°
Answer:
92 degrees
Step-by-step explanation:
PLEASE HELPP I WILL GIVE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
Y= - 1/5x-4
Step-by-step explanation:
slope intercept form: y=mx+b
Slope formula: rise/run
(5,-5) AND (0,-4)
-5+-4= -1
5+0= 5 AKA - [tex]\frac{1}{5}[/tex] or -1/5
The m in y=mx+b is the slope, the equation above is the sloe formula meaning -1/5 is the slope. The b is the y, when it is at 0. The y at 0 for this equation is -4. Thus, when plugging in the equation, y=-1/5x-4
PLEASE HELP ME
What is the value of this expression
Answer:sorry
Step-by-step explanation:
Solve by completing the square x^2-10x-24=0
Step-by-step explanation:
=x²-10x-24
=x²-4x+6x-24
=x(x-4)+6(x-4)
=(x-4)(x+6)
hope it helps.
Me.Lee ordered some pizzas to be delivered. The bill for the pizza was m dollars. Mr. Lee tipped the pizza delivery driver 15% of the bill. Write an expression for the total amount of money Mr. Lee paid
The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)
help i need help again fast
Answer:
donkey kong
Step-by-step explanation:
ssasdasdasdasdasdasda
Answer:
its c
Step-by-step explanation:
-3+4b=3(b-2)
what do I have to do slove both sides
Answer:
b=-3
Step-by-step explanation:
distribute 3(b-2) and you get 3b-6.
-3+4b=3b-6
add 3 on both sides.
4b=3b-3
-3b on both sides
b=-3
Substitution:
2x - y = 6
x + y = -3
Answer:
4 and for x+y is 2+1
Step-by-step explanation:
2.248 divided by 5.62
Answer:
0.4
Step-by-step explanation:
Answer:
44.128114
Step-by-step explanation:
There is more than one answer!
Answer:
I think it's B and D
Step-by-step explanation:
What is the solution of each equation?
2(h - 8) - h = h - 16
a
no solution
b
infinitely many solutions
c
8
d
-8
i really need help please!!!
Answer:
5x-4y=0
Step-by-step explanation:
[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]
Solve the following system of equations.
3x + 5y = 5
7x + 5y = 25
i need the value of x and y.
Answer:
x=5 and y=-2
Step-by-step explanation:
3x+5y=5
-(7x+5y=25)
-4x=-20
x=5
plug 5 into one of the equations. 3(5)+5y=5
y= -2
DESPERATE WILL GIVE BRAINLIST AND THANKS
A right rectangular prism is shown.
What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?
Drag and drop the answer into the box.
Response area in.
1.82.43.55.4
A cuboid with points labeled from A to H. It has a height of 3 inches, a width of 1.5 inches, and a depth of 1 inch.
A.3.5
B.1.8
C.2.4
D.5.4
Answer:
Step-by-step explanation:
Sorry but there's know question.
Answer:
3.5 Inches
Step-by-step explanation:
How you Can find the area of a composite figure?
Answer:
Here are the steps to find the area of a composite figure.
1. Split the composite figure into simpler shapes.
2. Find the area of each of the simpler shapes.
3. Add the area of all the simpler shapes together.
4. You'll have the area of the composite figure.
Let me know if this helps!
Hiiii Can someone please help me please
A, B, C, or D
F, G, H, or J
Ill give lots of points because there's two Please help me thank you BRAINLIEST ANSWER btw ❤️
Answer:
B, H
Step-by-step explanation:
The electrician charges 45 dollars per hour and 30 at the beginning. We are multiplying the hours, h, by 45 to get 45h. We add 30 to get C=45h+30
Jerome will always earn 75 dollars, but he also gets 10 percent commission, which is 0.10.
Answer:
B and H are the correct answers
How do you graph g(x)=f(x)+5
Decide whether or not the relation is a function.
[(0,1), (-5,4), (0,2), (5,-4)]
Answer:
The relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Given the relation
{(0,1), (-5,4), (0,2), (5,-4)}
From the given relation is clear that the input value x = 0 is repeated twice.
In other words, the input value x = 0 is duplicated.
As we have already mentioned that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, the relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 3, then
y = 4x + 3 → D
Answer:
b
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
C
D
B
In the figure, angle B measures 44º, angle A measures 62°, and angle E measures 50°
Complete the equation to solve for f, the measurement of angle F.
f= 180° - 50° -
the answer is 77 enjoy please like seroislyyyyyy round 50 cold war zombies!!!
Answer:
the answer is 77 please enjoy
Step-by-step explanation:
Amy sells tote bags at a craft fair for a day. She pays $50 to rent a booth. The materials and labor cost on each tote bag is $3.50. Her expenses for the day depend on how many tote bags she sells. Write a linear function rule and identify the initial value and rate of change.
Answer:
Let x= number of totebags sold
Cost=C(x)=50+3.5x
Grace is practicing for an upcoming piano recital.
The graph shows the hours she spent practicing over a 4-week period.
Answer:
The relationship is proportional.
The points form a straight line that passes through the origin.
Step-by-step explanation:
Answer:
The pionts lie on a straight line that goes through the origin
Step-by-step explanation:
cuz i got it right
What are the answers to these questions
Explain how to isolate the variable in the equation−2/3+7=15. solve for n
Answer:
n = - 0.0833
Step-by-step explanation:
Given expression
[tex]\frac{-2}{3n } +7 = 15[/tex]
Cross multiplication , we get
[tex]\frac{-2}{3n } = 15 -7[/tex]
[tex]-2 = 8 X 3 n[/tex]
⇒ [tex]\frac{-2}{24} = n[/tex]
n = - 0.0833
The radius of a circular sign is 12 inches. Equal parts of the sign are painted red and yellow. How many square inches are painted in each color? Use 3.14 for Pi
Answer:
226.08 square inches
Answer:
Step-by-step explanation:
First we find Area
12^2* 3.14= 452.16
Then we know that half of the sign is painted red and the other half is painted yellow
452.16 / 2 = 226.08
226.08 square inches is painted yellow and 226.08 square inches is painted red
use the given functions to answer the question.
f(x)=x^2+2x-5
g(x)--3x^2-4x+1
what is f(x)-g(x)
-2x²-2x-4
Is the answer. I know because I took the test.
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation: