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.
Jose's school is 4 km away. He walked 30 min at 5 km/hr when he realized he was running late and started running. How fast does he need to to make it to school before the bell rings in 15 minutes.
Answer:
Jose need to travel with a speed of [tex]6[/tex] Km/hr to reach school in 15 minutes before the bell rings.
Step-by-step explanation:
Total distance from home to School [tex]= 4[/tex] km
Distance travelled by Jose in first [tex]30[/tex] minutes is equal to
[tex]\frac{30}{60} * 5\\= 2.5[/tex]
Distance to travel in next [tex]15[/tex] minutes is equal to
[tex]4 -2.5 = 1.5[/tex] Km
Required speed
[tex]\frac{1.5}{\frac{15}{16} } \\= 1.5 * 4\\= 6[/tex]
Jose need to travel with a speed of [tex]6[/tex] Km/hr to reach school in 15 minutes before the bell rings.
At 6 a.m., the temperature is 19.4°C. Between 6 a.m. and noon, the temperature rises 3.8°C. Between noon and 6 p.m., the temperature falls 2.5°C.
What is the temperature at 6 p.m.?
1.3°C
6.3°C
13.1°C
20.7°C
Answer:
20.7°C
Step-by-step explanation:
What are the x-intercepts of f(x) = (x – 10(x + 10)
a) (0, -10) and (0, 10)
b) 10
c) 0
d) (10,0) and (-10, 0)
last year the Danville times had a total of 9540 subscribers this year after the paper was bought out it had 15,264 subscribers what is the percent of increase in the number of subscribers
Express (20^2)^1/5 in simplest radical form
Answer:
3.31445...
Step-by-step explanation:
(20^2) = 400
400 ^ (1/5) = 3.314454017
Evaluate 3x + 5 when x = 8
Answer:
29
Step-by-step explanation:
3x8 = 24 + 5 is 29
Please help me with this one ☝️
Answer:
c
Step-by-step explanation:
I did this question before
Which Interval describes where the graph of the function is negative?
I'm trying to cut down on how many cupcakes |
buy. Two weeks ago I bought 18 cupcakes and
then last week I bought 11. Please help me
continue this pattern.
Answer:
ok wel then buy 4 every week
Step-by-step explanation:
what is
the inverse
of f(x) = x^3 + x
Write f(x)=x^3+x as an equation.
y=x^3+x Is the answer.
6x^{2} + 19 + 9x^{2} - 8
With Explanation
Answer:
I'mnot sure if you're asking for its roots..but here you go :)
Step-by-step explanation:
[tex] = 6 {x}^{2} + 19 + 9 {x}^{2} - 8 \\ = (6 {x}^{2} + 9 {x}^{2} ) + (19 - 8) \\ = 15 {x}^{2} + 8 \\ 15 {x}^{2} = - 8 \\ {x}^{2} = - \frac{8}{15} \\ \sqrt{ {x}^{2} } = \sqrt{ - \frac{8}{15} } \\ x = \sqrt{ \frac{8}{15}} \times \sqrt{ - 1} \\ x = \sqrt{ \frac{8}{15} } \times i \\ x1 = 0.7302i \\ x2 = - 0.7302i[/tex]
If / is a midsegment of , find TS. A. 5 B. 7 C. 10 D. 14 Please select the best answer from the choices provided A B C D
Answer:
The answer is b.7
Step-by-step explanation:
Because i had the question and got it right
PC
Are these two lines parallel, perpendicular or neither?
y = -1/4 x-5
y = 4x + 2
O Parallel
O Perpendicular
O neither
O all of the above
find the unknown factor 12/16 and ?/4
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
If
16 ÷ 4 = 4
Then it is true that
12 ÷ x = 4
Solving for x
x = 12 ÷ 4
x = 3
2 1/2 divided by 5/6
Answer:
3
Step-by-step explanation:
2 1/2 / 5/6
= 5/2 / 5/6
= 5/2 * 6/5
= 6/2
= 3
Hope this helps!
y = -2x + 6
find the x, and y intercept
Write an equation of the line that passes through the pair of points. (1, 0), (5, -1)
Someone plz help me!
Answer:
x=6
Step-by-step explanation:
Because they are vertical angles, they are equal to one another, so the equation you have to set up would Be 5x=30 and you divide both sides by 5 and yopu get x=6 :)
giving 100 points and giving brainlest
For which value of b can the expression x2 + bx + 18 be factored?
A.
7
B.
3
C.
17
D.
-19
Answer:
7
Step-by-step explanation: (dont trust me)
x^2 + (7)x +18
x(x + 4) + 3(x + 6)
Answer:
See the attachment for what goes on your X diagram.
Rewrite: x² -7x +4x -28
Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)
Step-by-step explanation:
The given quadratic is ...
... x² -3x -28 . . . . . a=1, b=-3, c=-28
a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.
The value at the bottom of the X diagram is the coefficient b = -3.
The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...
(-7)·(4) = -28
(-7)+(4) = -3
b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...
... x² -3x -28
... = x² +(-7+4)x -28
... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28
c) We can group pairs of terms in the rewritten expression and factor each pair.
... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4
... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)
... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28
_____
Comment on extended application
When a ≠ 1, there are a couple of additional steps. Effectively, you reduce the fractions ax/p and ax/q to a'x/p' and a''x/q'', then rewrite those as the factors (a'x+p')(a''x+q'') where the ' and '' numbers are after reducing the fractions. (The numbers may be the same as the original if the fraction cannot be reduced.) As a check, a'·a'' = a, and p'·q'' = c.
Solve for x. Will mark brainliest for the correct answer.
Answer:
x= 100 degrees
Because the angles are vertical
Answer please it’s a big exam
Answer:
Solve for be is 56
Step-by-step explanation:
That the answer
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Answer:
I think the answer is 9/2
Fill in the missing numbers to complete the pattern:
5.81, ,5.91,5.96, ,6.06
PLEASE HELP!!! DUE AT 11:59!!!!
Answer:
angle A = 32
Step-by-step explanation:
angle A = 180 - (58+90) {by angle sum property of a triangle.}
angle A = 32
Which answers would be possible first steps?
Answer:
e i think or find out what x =
find ordered pairs: choose two of the answers below
y=2/3x+5
thank you v much//.
a.(-5,-10)
b.(-3,3)
c.(6,9)
d.(2,8)
Answer:
b -3,3 c 6,9 hope this helps
PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Its B, Black males over 21 years of age
Answer:
b
Step-by-step explanation:
Alex is paid semimonthly. His annual salary is y dollars. Express his semimonthly salary algebraically.
Answer:
half the full amount of money he will earn in one full month
Step-by-step explanation:
The required algebraic expression for Alex's salary annually is 24x.
Given that,
Alex is paid semimonthly. His annual salary is y dollars.
To determine his semimonthly salary algebraically.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the salary Alex for semi-month be x,
Salary for a month would be = 2x
Now, his salary for the year is equal to 12 * 2x
Now,
accoding to the question,
y = 12*2x
y = 24x
Thus, the required algebraic expression for Alex's salary annually is 24x.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of
money collected from book sales.
Book Sales Revenue
30 12
27
24
21
18
Revenue in dollars
15
12
3
4 8 12 16 20 24 28 x
Number of books sold
Save and Exit
SA
Mark this and totum
Answer:
4 8 12 16 20 24 28 32 36 40 44
at the drive in it cost 5 dollars per vehicle plus 2 dollars per person in the vehicle construct an equations from this information
Answer:
5v+2d
Step-by-step explanation:
Hope I helped