Answer:
slope of perpendicular line is -1/4
Step-by-step explanation:
slope of standard equation of line that is ax+ by = c is
slope m = -a/b
given equation is
12x – 3y = 81
comparing it with ax+ by = c
a = 12
b = -3
thus
slope of given line = -12/-3 = 4
we also know product of slope of two perpendicular line is -1
let the slope of other line be m
thus,
product of given line line and perpendicular line is -1
4*m = -1
m = -1/4
Thus,
slope of perpendicular line is -1/4
Andrea’s income from a lemonade stand was $28. Supply expenses were $9. Write and then evaluate an expression to find Andrea’s profit or loss. Expression:___
Andrea’s profit or loss is____dollars.
Answer:
9-28= 21
Step-by-step explanation:
She made profit because she lost 9 dollars, and then gained 28$ back, which would then equal to $21, so Andrea made a profit of $21.
Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.
Answer:
Step-by-step explanation:
a
Calculate 3 over 4 ÷ 5 1 fifth
Answer:3/20
Step-by-step explanation:
3/4/ 5/1
3/4 x 1/5 =3/20
What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
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1. 8x+15=dx-20
2. 12(7+2y)=4y-(3-ty)
3. 15+x(3t-4)=8(-2t+11)
:) answer all for brainliest
8x+15=dx-20
8x+15+20=dx
8x+35=dx
d=8x+35 /x
12(7+2y)=4y-(3-ty)
12(7+2y)=4y−3+ty
12(7+2y)−4y=−3+ty
12(7+2y)−4y=ty−3
12(7+2y)−4y+3=ty
t= 12(7+2y)−4y+3 /y
15+x(3t-4)=8(-2t+11) SOLVING FOR X
15+x(3t-4)=8(-2t+11)
x= 8(−2t+11)−15 /3t−4
x= −16t+73 /3t−4
Hope this helps!God bless you and have a wonderful day!
Answer:
Step-by-step explanation:
Give the other guy brainiest
Don Luis, el carpintero, desea construir un mueble para estantería, el cual es in- dispensable que tenga dos áreas cuadradas, donde el cuadrado mayor mida por lado, una unidad menor que el doble del largo del cuadrado menor. El área total del mueble será de 121 pies cuadrados.
Answer:
El área de un cuadrado de lado L es:
A = L*L
Y sabemos que si el cuadrado menor tiene lado de largo L, entonces el cuadrado mayor tiene lado de largo 2*L - 1ft
Área menor = L*L = L^2
Área mayor = (2L - 1ft)*(2L - 1ft)
El área total es igual a la suma de ambas áreas:
121 ft^2 = L^2 + (2L - 1ft)*(2L - 1ft) = L^2 + 4*L^2 - 2ft*L + 1ft^2
Ahora podemos resolver esto para L.
121 ft^2 = 5*L^2 - 2ft*L + 1ft^2
0 = 5*L^2 - 2ft*L - 120 ft^2.
Usando la formula de Bhaskara, las soluciones son:
[tex]L = \frac{2ft +- \sqrt{(2ft)^2 - 4*5*(-120ft^2)} }{2*5} = \frac{2ft +- 49ft}{10}[/tex]
Las dos soluciones son:
L = (2ft + 49ft)/10 = 51ft/10 = 5.1ft
L = (2ft - 49ft)/10 = -4.7 ft
Como estamos hablando de el largo de algo, la única opción que tiene sentido es la positiva.
Entonces el largo de los lados del cuadrado menor es L = 5.1 ft
El largo de los lados del cuadrado mayor es M = 2*5.1ft - 1ft = 9.2ft
Abdul receives $10 per week for his allowance. His parents have asked him to put $4 in his savings account and the rest of his allowance is spending money.
Answer:
2.5
Step-by-step explanation:
just trust me it 2.5
Sandy evaluated the expression below.
(-2) (6-3)-5(2+3)
(-2) (3) -5(5)
8(3) - 25
24-25
-1
What was Sandy's error?
Sandy should have evaluated (-2) as-8.
O Sandy should have not multiplied 5 and 5.
O Sandy did not add 2 and 3 correctly.
O Sandy should have not subtracted 3 from 6 first
Answer:
answer A
Step-by-step explanation:
i got it right on the test
What is the equation in point-slope form of the line passing through (1, 9) and (1, 11)? (5 points)
Answer:
1
Step-by-step explanation:
Answer:
y-9=0(x-1)
Step-by-step explanation:
first, find the slope with m=y2-y1/x2-x1
11-9=2
1-1=0
2/0 is undefined so i think you have to use 0
sorry if im wrong
i find it difficult when there is no slope
Write 6.37x10-2 in standard form?
Answer:
0.0637
Step-by-step explanation:
hope this helps :)
6.37 x 10⁻² in the standard form is 0.0637.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
We have an expression,
6.37 x 10⁻².
Simplifying to standard form.
6.37 x 10⁻²,
= 6.37 x 1/100
= 6.37/100
= 0.0637
Therefore, 0.0637 is the standard form.
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Respond to the following question with either a TRUE or FALSE: "The following parabola opens down: f (x) = -x2 + 5"
O TRUE because the leading coefficient is negative.
O TRUE because the linear function is negative.
O FALSE because the 5 is.positive.
O FALSE because this function is actually linear and not a parabola.
O I'm not sure how to approach this problem...yet.
Answer: A) True because the leading coefficient is negative
Explanation:
The leading term is -x^2 since this term has the largest exponent.
The leading coefficient is -1 as it's the coefficient of the leading term.
It might help to write -x^2 as -1x^2
The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answer:
7,-10
Step-by-step explanation:
PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((
-59, -41, -23, -11.
I can see how this can be confusing, Just remember if its a negative number, the bigger it is, the smaller the quantity, if that makes sense.
Who can help me with my math homework I can ask the questions on here the way they are set up?
Answer:
i can
Step-by-step explanation:
9. When graphing, what does the y intercept describe? *
The place where the line or curve crosses, or touches, the x axis
The place where a line or gurve crosses, or touches, the y axis
O I don't know.
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.
I need this answer
5x + 10 = 6x – 20
Answer:
30
Step-by-step explanation:
Step 1:
5x + 10 = 6x - 20 Equation
Step 2:
10 = x - 20 Subtract 5x on both sides
Step 3:
10 + 20 = x Add 20 on both sides
Answer:
x = 30
Hope This Helps :)
Answer: x=30
Step-by-step explanation:
30 = [(10 - 8) + (17-14)]
Answer:yes
Step-by-step explanation:kubjubjugjugjugjugjugjugju
Ernie went to see some friends in San Antonio 240 miles away. It took him 3 hours to get there. What was his average speed?
Answer:
Find out yourself buddy XD
Answer:
his average speed was 60 miles per hour
Step-by-step explanation:
their are three ways to get the answer
1. if you take the 0 away from 240 it becomes 24, and 24 divided by 3 = 6 add the the 0 back in and you get 60.
2. 240 divided by 3 = 60
3. Use a calculator
HELP I NEED THIS RIGHT KNOW!!!!!!!
Explain what
m(4)=90 means in context. (1pts)
Answer:
[tex]m(4)=90 \\ m = \frac{90}{4} \\ m = 22.5[/tex]
Find the percent increase or decrease from Monday to Tuesday.
Miles Jan walked Monday: 12
Miles Jan walked Tuesday: 3
Answer:
multiply 12 and 3 and your answer should b36.
Step-by-step explanation:
is this carret
The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.
Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
Solve for x
3x/2 - 2 > 7
Answer:
x>6
Step-by-step explanation:
answer is above
Answer:
x>6
Step-by-step explanation:
3x/2 - 2 > 7
+2>+2
3x/2>9
2(3x/2)>(9)2
3x>18
3x/3>18/3
x>6
−4 + [12 × (−8)] – 62
Answer:
-162
Step-by-step explanation:
that the answer
Answer:
-162
Step-by-step explanation:
Multiply: −4 + [12 × (−8)] – 62
Remover parentheses: -4 + (-96) – 62
Calculate sum: -4 – 96 – 62
What multiplies to be a 20 and adds to be a -21?
Answer:
-20 & -1
Step-by-step explanation:
-20+-1=-21
-20*-1=20
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answer:
500/40125/vDensitym/vI hope this helps!
Can someone help me pls. the Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern. Describe the height of the roller coaster at the bottom of the cavern.
Answer:
-50.1
Step-by-step explanation:
The height of the roller coaster at the bottom of the cavern is 50.1 feet down from the ground level.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given that,
Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern.
So the height of the roller coaster when it rises is 50.6 feet from the ground .
After that it drops to 100.7 feet into an underground cavern.
Height of the roller coaster now = 50.6 - 100.7
= -50.1 feet
Negative sign indicates that it is below the ground level.
Hence the height of the roller coaster at the bottom of the cavern is -50.1 feet.
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Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
Answer:
-x-3 = y
Step-by-step explanation:
At a local department store, cardigans are typically priced at $15. Due to a special,
the cardigans are reduced to 80% of their original price.
How much are cardigans now?
Answer:
$3
Step-by-step explanation:
80% of 15 is 12
15-12=3
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost?
Answer: Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Step-by-step explanation:
Let x= cost per pair of jeans
y = Cost per pair of shorts
z= cost per shirt.
For you, total cost = x+4y+2z= 84
For your friend, total cost = 2x+y+3z=76
For cousin, total cost = x+2y+z= 52
Required system:
[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]
from (i), [tex]x=84-4y-2z[/tex] (*)
put this in (ii) and (iii) we get
[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]
from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]
[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]
[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]
[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]
[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]
[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]
[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]
Hence, x= 20, y= 12 , z=8
So, Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
- 9/14 over 2/7 in simplest form step by step
Answer:
-63/28 or 2 1/4
Step-by-step explanation:
when dividing you will be multiplying by the reciprocal of the second fraction. SO it will be...
-9/14 times 7/2
this is... -63/28
Answer:
-9/4
Step-by-step explanation:
-9
-----
14
------------
2
----
7
To divide -9/14 by 2/7, invert 2/7 and multiply instead:
-9 7
------- * -----
14 2
Reducing, we get:
(-9)(1)
--------- = -9/4
(2)(2)