Given :
A Straight line passes through A(-2,1) and B(2,-k).
The line is perpendicular to a line 3y+2x=5 .
To Find :
The value of k.
Solution :
Let, slope of line is m.
We know, product of slope of in straight line is -1.
[tex]m \times \dfrac{-2}{3} = -1\\\\m = \dfrac{3}{2}[/tex]
We know, slope is given by :
[tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{3}{2}\\\\\dfrac{1-(-k)}{-2 - 2} = \dfrac{3}{2}\\\\\dfrac{1+k}{-4} = \dfrac{3}{2}\\\\k = -7[/tex]
Therefore, the value of k is -7.
Angle Relationship Equations ... pose help I don’t do this but my friend has to so help
3)
26 + ( 3x + 1 ) = 180
27 + 3x = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51
___________________
4)
( 4x + 1 ) + ( 3x + 4 ) = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/5
x = 25
Answer:
3) [tex]x=51[/tex]
4)[tex]x=25[/tex]
Step-by-step explanation:
[tex]3) ~ 3x+1+26=180\\ \\ ~ (linear ~pair)[/tex]
[tex]3x+27=180\\~ ~ -27 ~ ~-27[/tex]
[tex]subtract ~ -27 ~ from ~ both ~ sides[/tex]
[tex]\frac{3x}{3} =\frac{153}{3}[/tex]
[tex]x=51[/tex]
--------------------------
[tex]4)~ 4x+1+4+3x=180[/tex]
[tex]7x=180-5[/tex]
[tex]x=\frac{175}{7}[/tex]
[tex]x=25[/tex]
----------------------------
hope it helps...
have a great day!!
What is the answer to this. Correct answer will get brainliest.
the product of a number and two more than the number .. what is the expression?
Add ( √3 + 6√7 ) and (2√3 - 5√7 )
Answer:
3√3 + 1√7
Step-by-step explanation:
Answer:
7.84 or 3√3+√7
Step-by-step explanation:
How to find the height of the cylinder without volume
determine the equation of the line which has a graident 4 passing through (3,-2)
At age 23, someone sets up an IRA (individual retirement account) with an APR of 7%. At the end of each month he deposits $75 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period.
Answer:
The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.
Step-by-step explanation:
In order to solve this problem, we can make use of the following formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
Where:
FV= Future value of the ira
PMT= the amount of money you deposit each month
i= is the interest rate per period
n=number of periods
in this case we will assume the interest will be compounded each month.
So:
FV this is what we need to know.
PMT= $75 the amount he will deposit each month
t = 42 years,
this is 65-23=42
n=42 years * 12 months/year = 504 months
i=0.07/12
So we can now use the given formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
[tex]FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}][/tex]
So we get:
FV=$228,278.05
which is the amount of money he will have after 42 years.
In total, he deposited:
$75*504months = $37,800
so he will have:
[tex]\frac{228,278.05}{37,800}=6.04[/tex] times the amount of money he deposited throughout this time.
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!! DO 9 AND 10!!!
Simple algebra 1, one question about linear functions
Answer:
B
Step-by-step explanation:
I'm pretty sure it's because it tells you the rate of each year it depreciates. Let me know if it's right or wrong.
A trapezoid has of parallel sides
Answer:
True
Step-by-step explanation:
False. A trapezoid has one pair of parallel sides, not two pairs.
A trapezoid has only one pair of parallel sides.
The definition of a trapezoid states that it is a quadrilateral with exactly one pair of parallel sides.
The non-parallel sides of a trapezoid are called legs, and the parallel sides are referred to as the bases.
So, a trapezoid can have two pairs of sides that are parallel to each other, but only one of those pairs is considered as the bases.
To learn more on Trapezoid click:
https://brainly.com/question/32048079
#SPJ4
True or False: A trapezoid has two pairs of parallel sides. Explain your answer.
Find the median, mean, and range.
68, 82, 43, 39, 83
Answer:
mean is 63 median is 68 and range is 44
Juan mesura 1,75m y proyecta , en un momento dado , una sombra de 1,4m . Calcula la sombra que proyecta en este instante una farola de 4m de altura
Answer:
5m
Step-by-step explanation:
Calculamos usando la fórmula de la proporción
Sombra / Altura
Deje que la altura de la luz de la calle = x
1,4 m / 1,75 m = 4 m / x
Multiplicar cruzada
1,4 × x = 1,75 × 4
Dividir ambos lados por 1.4
x = 1,75 × 4 / 1,4
x = 5
Por lo tanto, la altura de la farola es de 5 m.
What equation do I write for a line that has a y intercept of 2 and is perpendicular to y=2/3x+4?
Answer:
y = -3/2x + 2
Step-by-step explanation:
The equation has the format y = mx + b where m is the slope and b is the y-intercept.
The question gives you the y-intercept, so b = 2.
As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.
The slope of the line given in the question is 2/3. The opposite reciprocal of 2/3 is - 3/2.
The equation for the line is y = -3/2x + 2
help 5 ratee????????????
5x-3=19? Answer for Brainliest
Answer:
x = 4.4
Step-by-step explanation:
I'm going to assume you want to solve for x so here we go.
You need to work backwards for this equation, and whatever you do to the LHS, you do to the RHS.
First, you need to remove the minus 3, which means that on both sides, you add 3. Adding three on the LHS makes the -3 disappear, and adding 3 on the RHS makes the 19 go to a 22.
Your equation is now 5x=22.
Since 5x means 5 × x, to get rid of it, you need to divide 5x by 5. Doing it to the LHS will make the five disappear, and doing it to the RHS will make it go to 22 ÷ 5 which equals 4.4
Therefore, x = 4.4
Find the measure of the
indicated angle
Answer:
45
Step-by-step explanation:
180 in a triangle,
110 + 25 = 135
add on 45 = 180
find the value of x. x³=8
Answer:
x = 2
Step-by-step explanation:
x^3 = 8
(2)^3 = 8
2 * 2 * 2 = 8
x = 2
Answer:
the value of x is 2
hope it helps
stay safe healthy and happy.Alyssa emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes ( d) and nickels ( n) that totaled $11.65. One of the constraints that would be used to determine how many dimes and how many nickels Alyssa had in her change jar is n+d=147 and the other is ___n + ___d = 11.65.
Joseph's workshop is 12 feet by 7 feet. If the drawing of the workshop has a scale of 1inch = 2 feet, what are the dimensions of the drawing? (enter your answer with a comma separating the two numbers)
Answer:
6, 3.5.
Step-by-step explanation:
Start with the 12 foot measurement. 1 inch of the drawing represents 2 feet, so divide 12 feet by 2 to find out how many inches represent 12 feet. 12/2 is 6. Do the same with the 7 foot measurement. 7/2 is 3.5, so the drawing of the 7 foot side will be 3.5 inches.
Suppose that 21 inches of wire costs 84 cents.
At the same rate, how much in cents) will 47 inches of wire cost?
Answer:
44 cents
Step-by-step explanation:
First we need to find out how much per inch so do 84 divided by 21 which is 4 then get the closest to the number 47 which is 44 so 4x11=44 cents I'm not sure if it's right tho
A cell phone company charges a monthly rate of $10.00 and $0.20 a minute per call. Write an equation that can be used to determine the number of minutes, m, of calls made if the bill for one month is $30.
Answer:
y = 0.20m + 10, 100 minutes
Step-by-step explanation:
Equation: y = mx + b
Fill it in.
m = slope = 0.20
b = y-intercept = 10
y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)
y = 0.20m + 10
Fill in.
30 = 0.20m + 10
Solve.
20 = 0.20m
100 = m
She was on the phone for 100 minutes.
A football is thrown into the air. The height, h(t), of the ball, in metres, after t seconds is modelled by h(t) 4.9(t1.25)29.
1.How high off the ground was the ball when it was thrown?
2.What was the maximum height of the football?
3.How high was the ball at 2.5s?
4.Is the football in the air after 6s?
5.When does the ball hit the ground?
Answer: how high off the ground was the ball when it was thrown
Step-by-step explanation:
How fast can my mom run if its 12:00 in the morning
please answer correctly. i will give brainliest!!
I'm pretty sure its just the last 3
Help please! Thanks!!!
To get this answer, we'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(35) = b/c
cos(35) = b/280
280*cos(35) = b
b = 280*cos(35)
b = 229.362572400918
b = 229
When you use your calculator, make sure it's in degree mode.
Jaime says that the value of -1 x n is always equal to the value of n = (-1) for all
values of n.
Explain whether Jaime is correct or incorrect.
James walked 15 blocks. she stopped at the store 3/5 of the way into her walk. how many blocks did she walk to the store?
Answer:
9 blocksStep-by-step explanation:
3/5 of the way = distance to the store3/5*15 = 9 blocksShe walked 9 blocks to the store
Answer:
9 blocks
Step-by-step explanation:
RuiFeng is twice as old as Raj and Khairul is 7 years younger than RuiFeng. If the sum of their ages is 38 years, find their respective ages?
Answer:Ans :RuiFeng 18 yrs, Raj 9 yrs, Khairul 11 yrs
Step-by-step explanation:
Please please help me please!!!!!!! URGENT!!!!
Answer:
the answer is 25 so yeah hhhhh
What is the exact side length of a cube that
has a volume of 10 cubic units?
Answer:
[tex] {x}^{3} = 10 \\ x = \sqrt[3]{10} [/tex]
Answer:
2.1544 units
Step-by-step explanation:
This side length can be found by finding the third root of the cube:
side length = {10 units^3}^{1/3) = 2.1544 units
Note: as a check we can cube this result: 2.1544^3 = 10