Answer:
The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Step-by-step explanation:
We need to write an equation in slope-intercept form perpendicular to the given equation through the given point
y = -3x + 4
(6,-2)
The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding slope:
The given line is perpendicular to required line, so there slopes are opposite
The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)
The slope of required line is: [tex]m = \frac{1}{3}[/tex]
Finding y-intercept:
y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)
[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]
So, we get y-intercept b =0
Equation of required line:
So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:
[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal
Answer:
$48,000
Step-by-step explanation:
Step one:
given data
Principal= $12,800
rate= 12.5%
time = 3 years
Required
The Interest
Step two
SImple interest= PRT/100
substitute
SI= 12800*12.5*3/100
SI=480000/100
SI=$48,000
What is the slope of this line
please help me! ( pythagorean theorem)
Answer:
the missing side is √65
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
√65 = √c^2
√65 = c
Help! I don’t know if I’m right
Answer:
B
Step-by-step explanation:
when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².
() = 5
3 + 2
2 + − 2; = −1
what is 3/10 of 68249????????????
Answer:20474.7
Step-by-step explanation:
68249 divide by 10 then multiply by 3
Linear Equation, Need Solved Asap <3
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
1. (1,1) (2,6) (3, 11)
2. Yes
Step-by-step explanation:
1. 5(1)-4 = 5-4 = 1
5(2)-4 = 10-4 = 6
5(3)-4 = 15-4 = 11
(I just chose 3 simple x values and plugged them into the equation to get the y values then wrote it as an ordered pair)
2. 5(-5)-4 = -25-4 = -29
-29 = -29
(Same as number 1 but I used the given x value then I checked if the y value I got matched the ordered pair)
Susie has a bag with 9 hair pins, 7 pencils, 2 snacks, and 5 books. What is the ratio of books to pencils?
Answer:
5:7
Step-by-step explanation:
HELP WITH THIS WORD PROBLEM
While riding a train in New York City, you notice there are 125 passengers in the first carriage, 10 more passengers in the second carriage then there are in the first carriage, and 10 more passengers in the third carriage then there are in the second carriage. If this pattern continues, how may passengers are there in the fourth carriage?
Answer:
1 cart = 125
2 cart = 135
3 cart = 145
4 cart = 155
Step-by-step explanation:
Divide £320 in the ratio 3:5
Answer:
£120 : £200
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part
£320 ÷ 8 = £40 , then
3 parts = 3 × £40 = £120
5 parts = 5 × £40 = £200
Then £320 in the ratio 3 : 5 is £120 : £200
The division of £320 in the ratio of 3: 5 is £120: £200.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the amount of £320
Now,
The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.
So,
320/8 = 40
Now,
Multiply by 3 ⇒ 3 × 40 = 120
Multiply by 5 ⇒ 5 × 40 = 200
So ratio 120/200 = £120: £200.
Hence "The division of £320 in the ratio of 3: 5 is £120: £200".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.
Answer:
Y=.5x
Step-by-step explanation:
For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps
Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.
Answer:
A, C, E
Step-by-step explanation:
Welcome :)
algebraic form of the square of the sum of r and t.
What is the slope of the line given by the equation below?
y = 4x - 2
Answer:
As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2
Can some one solve 2 I’ll give a crown
Answer:
Hi! The correct answer is 16!
Step-by-step explanation:
~Use the formula (b/2)^2 in order to create a new term to complete the square~
Answer:
the answer is option : c 16
~Please ~ help ~ me ~ out ~ I ~ don't ~ understand ~ the ~ question ~ and ~ if ~ you ~ can ~ explain ~ it ~ please ~ explain ~ .~ ヽ(´ ~ `)/♡
A circular garden has a radius of 8 feet. What is the circumference of the garden?
I think its C, cause I said so.
Given that
a = -2, b = 5 and c = -5
work out
2b - 3ac
Answer:
- 20
Step-by-step explanation:
Given the expression
2b - 3ac ← substitute given values for a, b and c
= 2(5) - (3 × - 2 × - 5)
= 10 - 30
= - 20
Answer:
-20 is the required answer
Step-by-step explanation:
2b-3ac
=2×5-3×-2×-5
=10-30
=-20
i will give you brainliest if u are right help asap
Answer:
a) 94°
Step-by-step explanation:
shape is a 5-sided polygon, known as a pentagon
number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.
Therefore there are 540° altogether.
add all like terms for all five angles: 24x - 12 = 540
24x = 552
x = 23
m∡P = 4(23) = 2
= 92 + 2
= 94°
I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?
Answer:
15.5
Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong
Anne decided to build a fence around her 15 feet long flower bed. How many feet of fencing should she buy if the width of the flowerbed is 4/5 the length?
Answer:
[tex]54[/tex] feet
Step-by-step explanation:
Length of the flower bed [tex]=15[/tex] feet.
Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.
So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.
To find the length of the fencing, we need to find the perimeter of the flower bed.
Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]
So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.
Hence, [tex]54[/tex] feet of fencing is required for the flower bed.
Help meee please.........
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
the ratio of 48 patients 6 nurse
Answer:
8:1
Step-by-step explanation:
Do 48/6 to find the ratio
The graph shows Victor's math scores versus the number of hours he studies: A graph titled Victors Math Scores shows Hours of Practice in a Week on x axis and Math Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 5 and 0.5, 10 and 1, 16 and 1.5, 20 and 2, 27 and 2.5, 28 and 3, 35 and 3.5, 34 and 4, 44 and 4.5, 44 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 5 and 5, 50. What will Victor's math scores most likely be if he spends 7 hours a week studying math? 58 points 62 points 68 points 72 points
Answer:
68
Step-by-step explanation:
Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.
Type the correct answer in the box. Use numerals instead of words. Ryan earned $528 shoveling driveways in the winter and $374 mowing lawns in the spring. He used $216 of the money he earned to buy a new bicycle. How much does Ryan have now? Ryan has $ now.
Which one!?!?
Help please
Answer:
Option 1
hope this helped :D
not going to give away how much points im giving because le point theifs might come but please assist me.
((B.TW the horizantal line is always labeled offense
Answer:
Its the First One
Step-by-step explanation:
For every 2 offense cards, he owns 4 defense cards. The first graph is correct.
Brainliest are appreciated :)
Smallest to largest
Help!
Answer:
I believe it is C... since the largest angle is always across from the longest side, where as the smallest angle is across from the shortest side.
Step-by-step explanation:
hope this helps :P hav a fantastic day
Factor completely and check your answer:
Help!
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
3 x ^3 − 4 x ^2 − 23 x + 10
Step-by-step explanation:
hope this helps!
