Answer:
y= -4x +3
Step-by-step explanation:
① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.
x -4y= 20
4y= x -20
y= ¼x -5 (÷4 on both sides)
∴ Gradient of line= ¼
② Find the gradient of the new line.
The product of the gradients of perpendicular lines is -1.
¼(gradient of line)= -1
gradient of line
= -1 ÷¼
= -1 ×4
= -4
③ Substitute the value of the gradient into the equation.
y= -4x +c
④ Find the value of c by substituting a pair of coordinates.
When x= 2, y= -5,
-5= -4(2) +c
-5= -8 +c
c= -5 +8 (+8 on both sides)
c= 3
Thus, the equation of the line is y= -4x +3.
How many units are there
Answer:
There are 9 units
Step-by-step explanation:
If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16
Answer:
x = 4
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 24 when x = 6 , then
24 = 6k ( divide both sides by 6 )
4 = k
y = 4x ← equation of proportion
When y = 16, then
16 = 4x ( divide both sides by 4 )
4 = x
A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 20. What is your average daily balance?
Answer:
$5.56Step-by-step explanation:
On may 2, charge = $100
On may 20, charge = $200
To get the average daily balance, we will use the concept of calculating slope;
let d be day of the month and c be the amount charged
when d1 = 2, c1 = 100
when d2 = 20, c2 = 200
average daily balance = c2-c1/d2-d1
average daily balance = 200-100/20-2
average daily balance = 100/18
average daily balance ≈ 5.56
Hence your average daily balance is approximately $5.56
A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.
Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
25 points
Write an equation in slope intercept form
(-3,0) (2,1)
Answer:
y = 1/5x + 3/5
Step-by-step explanation:
EASY QUESTION HELP AND HURRRYYYYY!!!!
Answer:
d
Step-by-step explanation:
Answer:
D, s=v
Step-by-step explanation:
although its scaled, the angles are equal to each other. pls brainliest im new and never got brainliest before thx appreciate it
A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace
Answer:
The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where
l is its length w is its width∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]
∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft
∴ The brace is [tex]2\sqrt{41}[/tex] ≅ 12.806 ft long
PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
Answer: A
Step-by-step explanation: e2020
Answer:
one
Step-by-step explanation:
please help me please please nice brainly people pls
Answer:
I think your answer is B= 12.
Step-by-step explanation:
Its x times 1 .33333 = y
brainliest?
A. What is the area of square ABCD?
B. What is the area of square EFGH?
C. What is the area of the unshaded region of ABCD.
NEED HELP!!!!
Not very good with these kinds of problems
how do u solve this
Write the first four terms of sequence Rule:start at 28.6, subtract 3.1
28.6, 25.5, 22.4, 19.3... hope this helps!!
What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)
Answer:
=
2/5x +2
Step-by-step explanation:
let me know if im wrong
hope it helps :)
Answer:
A. y=2/5x +2
step-by-step explanation:
hope this helped :-)
Answer the question in the picture. Thanks!
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
Please help meeeeeeee
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
if f(x)=3x-1 find f(2)
pls show steps I rlly need to understand this!
The next section (This is the last five, don't worry xd)
7th grade math
I will give brainliest!
2 = a/6
find the value of a
Answer:
a = 12
Step-by-step explanation:
Given
2 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )
12 = a
Answer:
a = 12
Step-by-step explanation:
We can do the inverse of division which is multiplication. 6 x 2 equals 12 and if we substitute 12 for a (12 divided by 6) you get 2 hope that helpss!!!
Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}
Answer:
noloce necesito puntos
if two equations are the same at two different points, what can be said about the two equations?
Answer:
They are parallel
Step-by-step explanation:
They will have the same slope but never intersect
A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.
Answer:
attached below
Step-by-step explanation:
A dyadic angle is the sum of two principal dyadic angles
lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians
attached below is the proof that sum and average of two dyadic angles is a dyadic angle
hey ok i need help on this question ive been stuck on it for a couple minutes haha
Answer:
The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = [tex]\sqrt{3}[/tex] × 8
∴ 2q = 8[tex]\sqrt{3}[/tex]
→ Divide both sides by 2
∴ q = 4[tex]\sqrt{3}[/tex]
∴ The length of q is 4[tex]\sqrt{3}[/tex]
question below :) i suck at math
Step-by-step explanation:
You plug g(3) into the equation like this
g(3) = -x - 2
I'LL GIVE BRAINLIST!! THERES 2 ANSWERS!! PLEASE HELP!!
Answer:
i would go with option 2, just depending on how many pounds u get for $6.58 though.
What is the slope of this line?
A: - 1/3
B: - 2/3
C: 2/3
D: 1/3
Answer:
The answer is C. 2/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
equation for slope: y2 - y1 / x2 - x1
Pick any two exact points from the line. I will use (0, -3) and (3, -1)
The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation
-3 - (-1) / 0 - 3
= -3 +1 / 0 - 3
-2/-3
Negatives cancel so it becomes positive
So the slope is 2/3
What is the weight of 2 apples? *
.12
.24
16.67
8.33
Answer:
0.24
Step-by-step explanation:
Have a wonderful day <3
A farmer sells his com for $320 a metric ton with a small surcharge of $25. His neighbor sells her corn crop for $320 a
metric ton and gives a $20 rebate. Write the cost model equations for both farmers and find the amount of corn that
makes the costs equal.
Bdbdjekdmfmfmfkfmf help
Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
Please help
29.25 + (−47.5)
Answer: -18.25 is your answer.
because there is one negative sign so you know your answer negative. So 29.25 + -47.6 = -18.25
Step-by-step explanation:
In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?
Answer:
$9.5 million
Step-by-step explanation:
Profits = $6.6 million
Each year increase = 13% = 0.13
2007 - 2010 = 3 years
Profits = 6.6(1 + .13)^3
= 6.6(1.13)^3
= 6.6 × 1.442896
= $9.5231202 million
Approximately $9.5 million to the tenths of a million dollars