Answer:
Step-by-step explanation:
Equation of the line y = mx + c
The new line is perpendicular to 2x - 3y = -5
- 3y = - 5 - 2x
3y = 2x + 5
y =[tex]\frac{2x}{3} + \frac{5}{3}[/tex]
Since the lines are perpendicular to each other : [tex]m_{1} . m_{2} = -1[/tex]
where [tex]m_{1} \ slope \ of \ the \ given \ line \ and \ m_{2} \ slope \ of \ the \ new \line\\[/tex].
Slope of the given line
[tex]m_{1} = \frac{2}{3}[/tex]
Slope of the new line
[tex]\\\frac{2}{3}.m_{2} = -1\\ m_{2} = -1 . \frac{3}{2} = \frac{-3}{2}[/tex]
The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5
[tex](y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}[/tex]
Tres amigos han corrido una carrera de 20 corredores, sus 3 dorsales eran números de 2 cifras consecutivos y su producto era 2.730 ¿que número llevavan los tres amigos ne sus dorsales?
Answer:
Los números son: 13, 14, y 15.
Step-by-step explanation:
Un número de dos cifras puede escribirse como:
a*10 + b
Donde a y b son números entre 0 y 9.
3 números consecutivos entonces se escribe como:
a*10 + b
a*10 + b + 1
a*10 + b + 2
El producto de esos 3 números será:
(a*10 + b)*(a*10 + b + 1)*(a*10 + b + 2) = 2,730, pero sabemos que hay 20 corredores, entonces el máximo número de dos cifras posibles es 20.
Esto nos obliga a tomar a = 1 (porque si a fuera igual a dos, tendríamos números mayores a 20)
Entonces la ecuación es:
(1*10 + b)*(1*10 + b + 1)*(1*10 + b + 2) = 2,730
(10 + b)*(11 + b)*(12 + b) = 2,730
(110 + 21b + b^2)*(12 +b) = 2,730
1,320 + 110*b + 252*b + 21*b^2 + 12*b^2 + b^3 = 2,730
b^3 + 33*b^2 + 362*b + 1,320 - 2,730 = 0
b^3 + 33*b^2 + 362*b - 1,410 = 0
Ahora, sabemos que b tiene que ser un número entero entre 0 y 9, entonces simplemente podemos ir probando con distintos valores de b y ver cuál es solución de esa ecuación.
b = 0
0^3 + 33*0^2 + 362*0 - 1,410 = 0
-1,410 = 0
b = 0 no es una solución.
b = 1
1^3 + 33*1^2 + 362*1 - 1,410 = 0
-1,014 = 0
b = 1 no es una solución.
b = 2
2^3 + 33*2^2 + 362*2 - 1,410 = 0
-546 = 0
b = 2 no es una solución
b = 3
3^3 + 33*3^2 + 362*3 - 1,410 = 0
27 + 297 + 1,086 - 1,410 = 0
0 = 0
b = 3 es una solución.
Entonces los 3 números consecutivos son:
10 + 3 = 13
10 + 3 + 1 = 14
10 + 3 + 2 = 15
helppppppp pleaseeeeee
Ignacia is comparing prices on pineapple juice. Brand A sells 24 oz. for $2.64. Brand B sells 36 oz. for $3.60. Brand C sells 12 oz. for $1.68. Brand D sells 100 oz. for $10.50. Which brand offers the best price per oz.?
Answer:
I think A or D but i'm stuck on D
Step-by-step explanation:
Answer:
D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.
Five less than twice Garrett's age is one half of Mary's
age increased by 6. Which equation represents the
relationship between g, Garrett's age, and m, Mary's age?
Answer:
2g - 5 = 1/2(m) + 6
Step-by-step explanation:
Let Garrett's age be g and Mary's m. Hint: "is" in these type of word problems will typically be the equation's "=" sign.
2g - 5 = 1/2(m) + 6
Please tell me the process to change a percent to a decimal
Krysta measured the floor of her storage unit, which is rectangular. It is 12 feet wide and 13 feet from one corner to the opposite corner. How long is the storage unit?
Answer:
The Answer is 14 feet. your answer
Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5
Answer:
The value of P(B) = 0.5
Step-by-step explanation:
Given:
Value of P(A and B) = 0.20
Value of P(A|B) = 0.40
Find:
The value of P(B)
Computation:
P(A and B) = P(A|B) x P(B)
By putting value of P(A and B) and P(A|B)
⇒ 0.20 = 0.40 x P(B)
⇒ The value of P(B) = 0.20 / 0.40
⇒ The value of P(B) = 20 / 40
⇒ The value of P(B) = 1 / 2
The value of P(B) = 0.5
Is this table of values linear?
Answer:no they aren’t linear
Step-by-step explanation:
Linear is a equal rate everytime this seems to be adding 1 on the y value for each x value
Answer: No
Step-by-step explanation: The y values don’t go up by the same number each time
A 9 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the
wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.
1 degree
80 degrees
53 degrees
10 degrees
9514 1404 393
Answer:
(b) 80°
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The 1.5 meter distance to the wall is the side adjacent to the angle with the ground. The 9 m length of the ladder is the hypotenuse of the triangle modeling this situation.
cos(angle) = 1.5/9 = 1/6
angle = arccos(1/6) ≈ 80.4°
The angle between the ladder and the ground is about 80°.
_____
Additional comment
The Ladder Association recommends an angle of 75° for safety. At 80°, the ladder may have a tendency to tip the user backward.
1) A museum charges different rates for adults and students. Adult
tickets are $14.50 and student tickets are $8.00. Ms Olivis class went
to the museum last week and spent $232.50 on 25 tickets. How
many students and how many adults went to the museum?
Answer:
Step-by-step explanation:
4.
Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
A. Graph c
B. Graph b
C. Graph d
D. Graph a
Answer: Graph D (bottom right corner)
======================================================
Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:
Step-by-step explanation:
Answer:
See picture attached below.
Step-by-step explanation:
To graph the system, graph each line separately.
y = 3x + 3 ha slope 3 and y-intercept 3.
Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.
y=-x - 3 has slope -1 and y-intercept -3.
Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.
This graph is represented in the picture attached.
...............................................................................................................................................
Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
...............................................................................................................................................
y=x−8
y=12x−5
...............................................................................................................................................
Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.
y < = 1/2x + 3...(-2,2) y < = 1/2x + 3....(0,3)
2 < = 1/2(-2) + 3 3 < = 1/2(0) + 3
2 < = -1 + 3 3 < = 0 + 3
2 < = 2 (correct) 3 < = 3 (correct)
The other line passes through points (0,1) and (1,-2) and is shaded above the line.
y > = -3x + 1...(0,1) y > = -3x + 1...(1,-2)
1 > = -3(0) + 1 -2 > = -3(1) + 1
1 > = 0 + 1 -2 > = -3 + 1
1 > = 1 (correct) -2 > = -2 (correct)
...............................................................................................................................................
we have
using a graph tool
see the attached figure
The solution of the system is the shaded area
we know that
The line is solid
The line passes through points and and is shaded above the line.
The line is solid
The line passes through points and and is shaded below the line
The two lines intersect at one point
therefore
the answer is the option
B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
ASAP can one of y’all help me do surface how do you do it
Answer:
false
Step-by-step explanation:
solid A surface area-112
solid B surface area-136
to find the surface area of a rectangular prism the equation is 2(lw + lh + wh)
Solid A 4*8+4*2+8*2
32+8+16
56*2=112
Solid B 2*2+2*16+2*16
4+32+32
68*2=136
the diameter is a circle is 18cm. Find it’s circumference in terms of π.
C= ________cm
Answer:
the answer interm of pie will be 18π
Step-by-step explanation:
circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π
Can someone tell me what I did wrong?
Answer:
The answer is 12 feet. .
Step-by-step explanation:
You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.
Pls help dudndidndiendifn
Answer:
I don't know D
Step-by-step explanation:
but why is this in the mathematics section
Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?
Answer:
Elisa y Romina comieron 5/16 de la pizza completa cada una.
Step-by-step explanation:
Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:
(5/2) / 8 = X
2.5 / 8 = X
0.3125 = X
0.3125 = 5/16
Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.
PLEASE HELP ASAP NOO LINKS!!!
Answer:
b
Step-by-step explanation:
What is the answer to 10 to the power of 8
Answer:
Step-by-step explanation:
10^8
it means multiply 10 8 times so
10*10*10*10*10*10*10*10
=100000000
PLEASE HELP!!!! I'LL GIVE BRAINLIEST NO LINKS OR YOU'LL BE REPORTED:)))))))))) Describe the distributive property. How is it different from other properties. Can you give an example?
Answer:
when u distribute a number you are basically giving the number off and multiplying other factors by that number
Step-by-step explanation:
3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12
Which is a common characteristic of both science and pseudoscience? experimentation the collection of information beliefs data
Answer:
collection of information
Step-by-step explanation:
Science can be defined as a branch of intellectual and practical study which systematically observe a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.
Pseudoscience can be defined as a collection of theories, methodology, practices and beliefs about the universe that are mistakenly, purportedly or erroneously regarded as scientific but in true sense isn't backed up by evidence (facts) and fails to comply with any scientific model.
However, a common characteristic of both science and pseudoscience is that both fields deals with the collection of information.
In conclusion, pseudoscience is considered to be subjective while science is objective.
Answer:
collection of information
Step-by-step explanation:
Science can be defined as a branch of intellectual and practical study which systematically observes a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.
Pseudoscience can be defined as a collection of theories, methodology, practices and beliefs about the universe that are mistakenly, purportedly or erroneously regarded as scientific but in true sense isn't backed up by evidence (facts) and fails to comply with any scientific model.
However, a common characteristic of both science and pseudoscience is that both fields deals with the collection of information.
In conclusion, pseudoscience is considered to be subjective while science is objective.
5. Adana made key chains for her friends out of string. She started with 2 feet of red string, 3-teet of
yellow string, and 5-feet of green string If Adana used a total of 8 3 feet of string on the key chains,
how much string remains unused?
Answer:
2 1/4
Step-by-step explanation:
SOL Review question 4
Adana made key chains for her friends out of string. She started with 2 1/6 feet of red string, 3 1/4 of yellow string, and 5 1/2 feet of green string. If Adana used a total of 8 2/3 feed of string on the key chains, How much string remains unused.
It would be 2 1/4 because you convert all the factions denominators to 12. 2 1/6 becomes 2 2/12, 3 1/4 becomes 3 3/12, 5 1/2 becomes 5 6/12, and 6 2/3 becomes 8 8/12. add 2 2/12, 3 3/12, and 5 6/12 and you get 10 11/12 and then you subtract 10 11/12 and 8 8/12 (10 11/12 - 8 8/12) and get 2 3/12. when you get that answer, convert it by 3 and you get 2 1/4.
I hope this was helpful.
PLEASE HELP ME I'LL APPRECIATE IT!!!!
Simplify the expression. Write your answer in positive exponent form:
9^5/9^4
Answer:
The answer is 9^1 or simply 9.
The slope of the line that contains the points (4, 10) and (5, 13) is 3. Find the y-intercept.
A. -26
B. -2
C. 8
D. 34
The slope of the line that contains the points (-2, -1) and (3, 19) is 4. Find the y-intercept.
A. -7
B. -2
C. 2
D. 7
Answer:
B
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 = 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (4, 10 ) , then
10 = 12 + c ⇒ c = 10 - 12 = - 2 → B
D
Given m = 4 then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 19 ), then
19 = 12 + c ⇒ c = 19 - 12 = 7 → D
The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm
2
484, pi, start text, space, c, m, end text, squared.
What is the diameter of an extra large pizza from Gambino's Pizzeria?
Answer:
44cm
Step-by-step explanation:
Answer:
44 cm
Step-by-step explanation:
when the “a” value is negative in any quadratic what do you know about the graph?
Answer:
when a is negative, the parabola opens downward
Step-by-step explanation:
which of these figures has rotational symmetry
Answer: The answer is C
Step-by-step explanation:
The reason is because if you make a line in between it would be symetrical (up, down, left, right).
A die is rolled. The set of equally-likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of rolling a number greater than 4.
Answer:
33.33 percent or 2:4
Step-by-step explanation:
what is 48x + 56 factored
Answer:
8(6x + 7)
Step-by-step explanation:
Find a factor for both of the numbers (8)
Place the remaining numbers in a bracket (6x +7)
Place the 8 outside the bracket
8 (6x + 7)
Have a good day :)
Answer:
All you have to do is factor like this. It is also know as common factoring.
48x+54
8(6x+7) You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be 8(6x+7)
Step-by-step explanation:
Hope this helps!
What is the 9th row of Pascal's Triangle?
Group of anwers
1,10,45,120,200,252,200,120,45,10,1
1,8,28,56,70,56,28,8,1
1,9,36,84,126,126,84,36,9,1
Pascal's Triangle does not have 9 rows.
Answer:
Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1
Step-by-step explanation:
in the pascal triangle the first row start with 0.
Based on the coordinates above what kind of quadrilateral wil be formed by their route? How do you know?
Answer:
Rectangular route
Step-by-step explanation:
Given
H(-4, 3) B (2, 11) F (6, 8) C (0, 0)
Required
The type of route
First, calculate the distance between adjacent points i.e. HB, BF, FC and CH
Where
HB and FC are opposite
BF and CH are opposite
Using distance formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
HB
[tex]H =(-4, 3) \to (x_1,y_1)[/tex]
[tex]B = (2, 11) \to (x_2,y_2)[/tex]
[tex]HB = \sqrt{(-4- 2)^2 + (3 -11)^2}= \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]
BF
[tex]B = (2, 11) \to (x_1,y_1)[/tex]
[tex]F = (6, 8) \to (x_2,y_2)[/tex]
[tex]BF = \sqrt{(2- 6)^2 + (11 -8)^2}= \sqrt{(-4)^2 + (3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]
FC
[tex]F = (6, 8) \to (x_1,y_1)[/tex]
[tex]C =(0, 0) \to (x_2,y_2)[/tex]
[tex]FC = \sqrt{(6- 0)^2 + (8 -0)^2}= \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]
CH
[tex]C =(0, 0) \to (x_1,y_1)[/tex]
[tex]H =(-4, 3) \to (x_2,y_2)[/tex]
[tex]CH = \sqrt{(0-- 4)^2 + (0 -3)^2}= \sqrt{(4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]
So, we have:
[tex]HB = FC = 10[/tex]
[tex]BF = CF = 5[/tex]
Sine the opposite sides are equal; We can conclude that the route is a rectangle