The equation of the perpendicular bisector of segment JM is y = (6/5)x - 26/5.
To find the equation of the perpendicular bisector of the segment JM, we need to determine the midpoint of segment JM and its slope.
Given the endpoints:
J(-5, 1)
M(7, -9)
Find the midpoint:
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of J and M:
Midpoint = ((-5 + 7) / 2, (1 + (-9)) / 2)
= (2 / 2, (-8) / 2)
= (1, -4)
Therefore, the midpoint of segment JM is (1, -4).
Find the slope of JM:
The slope formula is given by:
Slope = (y2 - y1) / (x2 - x1)
Substituting the coordinates of J and M:
Slope = (-9 - 1) / (7 - (-5))
= (-10) / 12
= -5/6
The slope of segment JM is -5/6.
Find the negative reciprocal of the slope:
The negative reciprocal of -5/6 is 6/5.
Write the equation of the perpendicular bisector:
Since the perpendicular bisector passes through the midpoint (1, -4) and has a slope of 6/5, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Substituting the values:
y - (-4) = (6/5)(x - 1)
y + 4 = (6/5)(x - 1)
y = (6/5)x - 6/5 - 20/5
y = (6/5)x - 26/5
for similar questions on perpendicular bisector.
https://brainly.com/question/28626433
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Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
y = -3/4x + 4.5
Step-by-step explanation:
URGENT!!! PLS HELPPP!!!
Answer:
17 and 19
Step-by-step explanation:
What angle is the picture classified as?
Answer:
I think it's non of these.
Which expression is equivalent to |a|≤5 ?
a ≥ –5 or a ≤ 5
a ≥ –5 and a ≤ 5
a ≤ –5 and a ≥ 5
a ≤ –5 or a ≥ 5
Answer:
I think its the first one but not 100 % sure
Step-by-step explanation:
Answer:
A>= -5 and A<= 5
Step-by-step explanation:
What is the value of 2 (38 –14) + 38 = 9?
Answer: 2(38−14)+38=?9
86≠9
False
Step-by-step explanation: hope this help
Find the area of the shaded region.
Answer:
80
Step-by-step explanation:
multiply 10 by 8
(If it is not right... i apoligize but i don't see a shaded region)
Answer:
80 in
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in
Hope this Helped
Find the x-intercept and and y-intercept algebraically
y = log2 (x + 1) - 3
need work
Answer:
x intercept is 7 y intercept is -3
Step-by-step explanation:
Write equation out and have y=0
[tex] log_{2}(x - 1) - 3 = 0[/tex]
Add 3 to both sides
[tex] log_{2}(x - 1) = 3[/tex]
Using the log to exponet rule
[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]
Where b and x are real numbers and b cannot equal 1.
Reorder the equation as a exponet
[tex] log_{2}((x + 1) = 3[/tex]
[tex] {2}^{3} = x + 1[/tex]
Simplify
[tex]8 = x + 1[/tex]
Subtract 1 from both sides
[tex]x = 7[/tex]
So the x intercept is 7
To find y intercept plug 0 in as x
[tex] log_{2}(0 + 1) - 3 = y[/tex]
[tex] log_{2}(1) - 3 = y[/tex]
Add 3 to both sides
[tex] log_{2}(1) = y + 3[/tex]
Rewrite in exponet form
[tex] {2}^{y + 3} = 1[/tex]
Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation
[tex]y + 3 = 0[/tex]
Subtract 3 from both sides and we get
[tex]y = - 3[/tex]
So the x intercept is 7 and the y intercept is -3
Johnny is standing on a platform 12 meters high throw ball up velocity 11 meters what time will ball hit the ground after 2 seconds
Answer:
The ball will hit the ground after 1.54 seconds
Step-by-step explanation:
This is a form of projectile motion in horizontal direction
Thus, time taken to reach the ground
[tex]t = \sqrt{\frac{2*d}{g} }[/tex]
Substituting the given values in above equation, we get -
[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds
Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?
Answer:
100 miles
Step-by-step explanation:
Roberto can lift 103.5 pounds. That is .9 times the amount his friend Vance can lift. Can Vance lift more or less than 103.5 pounds?
Answer:
Step-by-step explanation:
Vance can lift 0.9×103.5 pounds.
0.9 < 1, so you know that
0.9×103.5 < 103.5
letter d is 7 someone help me please!!!!
Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
Answer:
A -7
Step-by-step explanation:
the angles of a triangle add up to 180
76+41+70 = 187-7 180
a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30
4 elephants
20 monkeys
6 zebras
//
z - 2 = elephants
(6) - 2 = 4 elephants
5(e) = monkeys
5(4) = 20 monkeys
20 + 4 + 7 = 30
Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos
Answer:
Kg de carne= 15 kg
Step-by-step explanation:
Dada la siguiente información:
Una persona compra 2.5kg de carne por día.
Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:
Kg de carne= kg por día*cantidad de días
Kg de carne= 2.5*6
Kg de carne= 15 kg
-2 (2x - 3) = 26
what is the the value of the x
Answer:
-5
Step-by-step explanation:
Answer:-8
Step-by-step explanation:-2 x 2 = -4, -2 x 3 = -6
-4x - -6, -4 x -8 = 32. 32- -6 = 26
:)
PLEASE HELP ME ASAP FOR BRAINLIST AND EXPLAIN
Answer:
Option B (4/9)
Step-by-step explanation:
Probability is the number of outcomes that you would want to happen over the number of all outcomes that are possible. On each dice, there are 4 numbers less than five. Now we need to find all possible combinations of these numbers and we do that by mulitply 4 x 4.
4 x 4 = 16
Now we just find the number of all possible outcomes and that would be...
6 x 6 = 36
Now 16 over 36 will be...
16/36 = 4/9
A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.
a. approx. 51.3°
b. approx. 32.0°
c. approx. 38.7°
d. approx. 58.0°
Answer:
A) 51.3 degrees
Step-by-step explanation:
cosine x=15/24=0.625
x=51.32 degrees
Si se organizan los niños de mayor a menor de acuerdo con su estatura, ¿cuál es el orden correcto? A. Andrés, Samuel, Laura y Valeria. B. Samuel, Andrés, Valeria y Laura. C. Laura, Valeria, Andrés y Samuel. D. Valeria, Laura, Samuel y Andrés.
Answer:
A. Andres, Samuel, Laura y Valeria.
Step-by-step explanation:
The height of Andres is greater than all other students. Andres has height of 4.2feet. Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.
Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent
Answer:
6.77
Step-by-step explanation:
Answer:
Step-by-step explanation:
(B) find the angle which is vertical to 5 and write your result in the empty box.
Answer:
∠2
Step-by-step explanation:
Vertical angles are angles that are opposite to each other. since ∠2 is opposite of ∠5, ∠2 is the answer
Hope this helps :)
May you please help me with this
Answer:
ratio of a is 44:56, ratio of b is 97:3
fraction of a is 44/100, fraction of b is 97/100
decimal of a is 0.44, decimal of b is 0.97
percent of a is 97%, and percent of b is 97%
if this is wrong im so sorry :()()()()(
step-by-step explanation:
QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .
x =
m(triangle shape)ZTV = _ degrees
Solution :
It is given that Z is the incenter
So, we get from the figure
[tex]$5x +1= 8x -14$[/tex]
⇒ [tex]$-3x = -15$[/tex]
⇒ x = 5
So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]
We have to find ∠ ZTU.
In Δ UTV,
∠ TUV + ∠ UTV + ∠ TVU = 180°
⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°
⇒ ∠ UTV = 180° - 52° - 42°
= 86°
So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]
[tex]$ = \frac{1}{2} \times 86^\circ$[/tex]
[tex]$=43^\circ$[/tex]
Therefore, m ∠ ZTU = 43°
Find the approximate perimeter of △ABC plotted below.
Answer:
The perimeter of triangle ΔABC is approximately;
(A) 20.0
Step-by-step explanation:
In ΔABC, the coordinates of the vertices are given as follows;
A(-4, 1), B(-2, 3), C(3, -4)
The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83
The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6
The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6
The perimeter of a geometric shape is equal to the sum of the length of sides of the figure
The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])
∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.
Answer: 20.0
Step-by-step explanation: Khan Academy
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
16 model airplanes on his shelf
4 times as many model airplanes as model trains
let's denote the number of model trains as m
So,
m=16×4
m=64
Therefore,there are 64 model trains.
pleasemark me as brainliest answer
(-5x + 4) - (3x2 – 7x + 4) simplified and written in standard form?
Answer:
Simplify the expression=
− 3 x^ 2 + 2 x
It's the same thing in standard form.
Step-by-step explanation:
Answer:
-3x^2+2x
Step-by-step explanation:
help brainliest if right
Answer:
y = 1x + 7
Step-by-step explanation:
The equation formula for this scenario is y = mx + b
m = slope
b = y-intercept
To find the slope, pick two points. I picked (2,9) and (4,11).
Subtract 11 from 9, you'll get 2.
Subtract 4 from 2, you'll get 2.
2/2 equals 1. The slope (m) = 1
To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.
The equation is: y = 1x + 7
what do u mean by trigonometry
Answer:
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Basic Formulas
By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.
Main Trigonometric Functions
Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cotBoth depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.
(hope this helps can i plz have brainlist :D hehe)
can someone simplify 8+3(x-4) for me. I need works, answer, and reasoning
Answer:
3x+-4
Step-by-step explanation:
8+3(x-4)
8+3x-12
8-12+3x
-4+3x
can you mark me the brainllest please
An airplane is flying at a constant speed. The airplane descends 450 meters in 9 seconds. Write the speed of the airplane as an integer.
Answer: Speed = 50meters/ second
Writing as an integer becomes + 50meters/ second 0R 50meters/ second
Step-by-step explanation:
Speed is given as = Distance / Time
distance covered by Airplane = 450 meters
Time = 9 seconds
Therefore, Speed = 450/ 9 = 50 meters/second
HEEEEELP The height of a street light is 50 feet. It casts a 40−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man?
Answer:
5 foot
Step-by-step explanation:
how to find lateral surface and total surface area of triangular prism
Answer:
using the formula ...........duh
Answer:
Lateral Surface Area of a Triangular Prism Formula
Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.