Answer:
15.81
Step-by-step explanation:
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Answer:
15.81
Step-by-step explanation:
The full answer is 15.8113883 but since you want it rounded to two decimal places the second 1 in 15.8113883 makes the number round to 15.81
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
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 )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
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A line segment is a geometric figure that consists of what?
find the first five terms of each sequence an = -2(n-7)
Answer:
when n=1
= -2(1-7) = 12
when n=2
= -2(2-7) = 10
when n=3
= -2(3-7) = 8
when n=4
= -2(4-7) = 6
when n=5
= -2(5-7) = 4
Step-by-step explanation:
order the following from least to greatest PLZ I NEED HELP!!!!
Answer:
½, √0.28, 0.58
Step-by-step explanation:
you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.
Does anyone know how to do this?
La suma de dos numeros es 208 y su diferencia es 122¿cuales son los numeros?
Answer:
Los números son:
43 y 165
Step-by-step explanation:
Planteamiento:
a + b = 208
a - b = 122
Desarrollo:
de la segunda ecuación del planteamiento:
a = 122 + b
sustituyendo este último valor en la primer ecuación del planteamiento:
(122+b) + b = 208
2b = 208 - 122
2b = 86
b = 86/2
b = 43
a = 122 + b
a = 122 + 43
a = 165
Comprobación:
165 + 43 = 208
165 - 43 = 122
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings
Answer:
120% increase
Step-by-step explanation:
what is the range of the function below in set builder notation? y=|x-3|
Answer: [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?
In 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?
Answer:
i say 24,890
Step-by-step explanation:
The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.
Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.
Number of toys sold in 2014 = 12,823
Number of toys sold in 2015 = 12,823 + 24,290
=37,113
The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.
Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016
=12,823+37,113+37,113
=87,049
Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.
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Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)
(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions
Answer:
18
-9
30
Step-by-step explanation:
did on edge :)
Answer:
Evaluate the following numerical expressions.
6 + 3 • 4 = 18
(6 + 3) ÷ (4 – 5) = -9
6 + 23 • 3 = 30
Step-by-step explanation:
i took the test
6. Edward bought 23.4 pounds of potatoes and 26.1 pounds of carrots.
How many pounds of vegetables did he buy in all? *
O 49.5 pounds
O 50 pounds
O 50.5 pounds
O 63.3 pounds
Answer:
49.5 lbs.
Step-by-step explanation:
23.4 + 26.1 equals 49.5 pounds
Hopefully this helps you :)
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I dont really understand how to do this with three terms can someone please help?
Answer:
A. x(x + 7)²
Step-by-step explanation:
Step 1: Write out polynomial
x³ + 14x² + 49
Step 2: Factor out x
x(x² + 14x + 49)
Step 3: Factor out quadratic
x(x + 7)²
whats the answer to this question -9x+1= -8
How do I do this, please explain.
El punto 22, los resultados/procedimiento para confirmar que lo hice bien
Answer:
a)
1/4 : a = 1/10
1/4 = a*1/10
(1/4) : (1/10) = a
(1*10):(4*1) = a
10/4 = a
entonces:
1/4 : 10/4 = 1/10
respuesta:
en el recuadro va:
10/4 o su equivalente 2/5
b)
3/7 : a = 9
(3/7) : 9 = a
3 : (7*9) = a
3 / 63 = a
entonces:
(3/7) : (3/63) = 9
(3*63) : (7*3) = 9
63 : 7 = 9
entonces, en el recuadro va:
3/63 o su equivalente 1/21
c
a : (1/2) = 5/2
a = (5/2) * (1/2)
a = (5*1) / (2*2)
a = 5/4
entonces:
(5/4) : (1/2) = 5/2
(5*2) : (4*1) = 10/4 = 5/2
entonces, en el recuadro va:
5/4
d
a : (1/2) = 2/5
a = (2/5) * (1/2)
a = (2*1) / (5*2)
a = 1/5
entonces:
(1/5) : (1/2) = 2/5
(1*2) / (5*1) = 2/5
he Moore family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desk, and dressers to select from. How many different furniture sets could they select?
Find the distance between (8, -4.7) and (8, 5.3)
Answer:
d = 10
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]
At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)
Match question it has 3 answers I’m giving brainly
Answer:
1st 2nd and 4th option are correct
Answer:
B
Step-by-step explanation:
C is wrong because -11 + 4 is -7
E is wrong because you can't change the negative sign just for one value on one equation
In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?
Answer:
46
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
a = 46
Step-by-step explanation:
Refer to the attachment.
If g(x) = (24 – x)2 + 7, what is
the value of g(6)?
O 250
O-2
O 243
O 331
[tex]g(x) = (24 - x)2 + 7\\= 48 - 2x + 7\\g(6) = 48 - 2 \cdot 6 + 7\\= 48 - 12 + 7\\= 43[/tex]
d. -6.24, -4.03, -1.82, 0.39, ... Find the 20th term.
Answer:
the 20th term of the sequence is 35.75
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.
Answer:
Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.
Step-by-step explanation:
Evaluate R - Y for R = -2 and Y= -7
Answer:
5
Step-by-step explanation:
Replace variables with integers
(-2) - (-7)
Solve.
-2 - (-7) --> -2 + 7 --> 5
HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!
Two fifteenths times 10
Answer:
1.3
Step-by-step explanation:
find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)
Answer:
[tex]y = mx + b[/tex]
[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]
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