Step-by-step explanation:
Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.
The standard form of equation of a line is expressed as y = mx+c
m is the slope
c is the intercept
Rewrite the equation given
y-1 = 1(x+2)
y-1 = x+2
y = x+2+1
y = x+3
Comparing to the standard form, the slope m = 1.
For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1
Substitute
1(M) = -1
M = -1
For us to know the line that is perpendicular to the given line, its slope must be -1.
Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).
Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?
A recipe that makes 16 cookies calls for 14 cup of sugar and 23 cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.
1. Using the new recipe, how much flour should she use? Explain or show your work.
16 cookies ¼ cup of sugar ⅔ cups of flour
??? 1 cup of sugar 2 ⅔ cups of flour
Answer:
64 cookies : 1 cup of sugar : 8/3 or 2 2/3 cup of flour
Step-by-step explanation:
16 cookies : 1/4 cup of sugar : 2/3 cup of flour
Multiply each part by 4 to find how much flour and how many cookies would be used in the same recipe with 1 cup of sugar.
64 cookies : 1 cup of sugar : 8/3 or 2 2/3 cup of flour
A typical snake bite delivers 0.0045 grams of venom. Maria and Tammy were asked to write this number in scientific notation. Their answers are shown below. Which student is correct? Explain how you determined your answer.
The first choice is correct.
Explanation
[tex]4.5*10^3=4500\;This\;cannot\;be\;it\;since\;the\;result\;is\;4500.\\\\4.5*10^-^3=0.0045\;This\;is\;the\;correct\;answer![/tex]
Which of the following is the prime factored form of the lowest common denominator of 15/28-5/12?
Answer:
5/6
Step-by-step explanation:
15/28 - 5/12
LCM of 28 & 12 is 336
420 - 140
--------------
336
=280
--------
336
= 280/336
=5/6
5x + 3 = 3x + 9 what is the value of x
Answer:
x = 3
Step-by-step explanation:
5x + 3 = 3x + 9
subtract 3 on both sides (cancels out 3) (inverse operation)
5x = 3x + 6
subtract 3x on both sides (cancels out 3x) (inverse operation)
2x = 6
divide both sides by 2 (isolates x) (simplifies)
x = 3
John is on vacation and forgot his video camera. He found a camera shop that rents the cameras. They charge a one-time cleaning fee of $45 and the per day rental charge is $23. If his final bill is $229, how many days did John rent the video camera? Write and solve an equation for John's camera rental.
Given:
One-time cleaning fee = $45
Per day rental charge = $23
Final bill = $229
To find:
The number of days for which John takes video camera on rent.
Solution:
Let the number of days be d.
Rental charge for one day = $23
Rental charge for d days = $23d
Total charges = One-time cleaning fee + Rental charge for d days
[tex]Total=45+23d[/tex]
Final bill is $229. So,
[tex]45+23d=229[/tex]
Subtract 45 from both sides.
[tex]45+23d-45=229-45[/tex]
[tex]23d=184[/tex]
Divide both sides by 23.
[tex]d=\dfrac{184}{23}[/tex]
[tex]d=8[/tex]
Therefore, the required number of days is 8.
line I is the perpendicular bisector of MN. find m
Answer:
m = 68
Step-by-step explanation:
MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations
once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10
Now that we know x =10 we can insert it into the equation
5(10) + 18 = m
50 + 18 = m
m = 68
Cheyenne collects movies. She has 435 movies that are either comedy, scary, or sci-fi. She has the same number of videos for each genre. How many movies does she have in each genre. Draw a model and write an equation that represent the problem. Solve.
I will give brainliest!!!!!
The school cafeteria is packing picnic baskets for a field trip. To be fair, each basket must have equal numbers of cookies and strawberries for dessert. What is the greatest number of baskets that can be packed with 96 cookies and 88 strawberries?
44
16
32
8
Answer:
44 because it goes into both of the numbers twice without going over
Step-by-step explanation:
Hope this helps and i am 100% sure it is correct if you are having doubts. Brainliest please
Identify the domain of the function shown in the graph.
10.
A. 0
B. x < 0
C. x > 0
D. xis all numbers.
what’s the answer? i’m doing that quiz rn i’m on this question.
The domain of the function shown in the graph is x>0.
What is a function?A function is the relation between two sets. It relates from the domain set to the range set.
Here, the given graph represents an exponential function starting from (0, 0).
The given graph approaches towards the right along with the x-axis.
Therefore, the initial value of the independent variable in the given function is 0.
Hence, the domain of the given function is x>0.
Learn more about a function here: https://brainly.com/question/4442228
#SPJ2
simplify 3+5i/ 6-i!!! Pls help I’m taking a test!!
Answer:
3 - 0.166666667 i
Step-by-step explanation:
I think this is the answer
helpp me plzz i really need helppp
thanks!!!!!
Answer:
-14
Step-by-step explanation:
A fish was swimming 3 in a half feet below the water surface at 7:00 a.M. Four hours later, the fish as at a depth that is 5 one fourth feet below where it was at 7:00 a.M. What rational number represents the position of the fish with respectto water surface at 11:00 a.M
Answer:
8 3/4 below sea level
Step-by-step explanation:
Given that:
Depth of fish at 7:00 A. M = 3 1/2 feets below sea level
Depth at 11:00a.m (4 hours later) = 5 1/4 feets below it's position at 7:00 a. M
Rational number to represent position of fish with respect to the water surface at 11:00 a. M
Position at 11:00 a. M :
Addition of the two depth distances given :
(3 1/2 + 5 1/4)
7/2 + 21/4 = (14 + 21) / 4 = 35 / 4
35/4 = 8 3/4 feets below sea level
Answer:
8.75, 8 3/4 or 35/4
Step-by-step explanation:
3 1/2 + 5 1/4
=(3+5) + (1/2 + 1/4)
=8 + (2/4 + 1/4)
=8 + 3/4= 8 3/4
=8 3/4= 35/4
Six cousins inherited a total of StartFraction 5 Over 8 EndFraction of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
Answer:
For us to determine the answer to this item, we simply have to divide the given fraction of the great aunt’s property that is to be divided among the cousins by 6.
N = 5/8 / 6
The value of N in the equation is 5/48 or 0.104. Thus, each of the cousins will receive 10% of the great aunt’s property.
Answer:
5/48
Step-by-step explanation:
(5/8) / 6
eternal horizons or doom crossing
Answer:
RIP AND TEAR NEW HORIZON
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
14. A linear function is negative for x <-6 and has a y-intercept of 1. If you correctly sketch a graph of the function, at
what point will the graph intersect the x--axis?
a. (0,6)
b. (6,0)
c. (-6,0)
d. (0,-6)
Evaluate the expression
Answer:
1
Step-by-step explanation:
2+4=6
3*2=6
6/6=1
If I buy a 7.2 oz bag of cheese-its for $1.99 how much will I be paying for 1 oz?
Answer:
i think 0.28
Step-by-step explanation:
Answer:
You would pay $0.28 for 1 oz of bag of cheese
Step-by-step explanation:
$1.99 (price for 7.2 oz) ÷ 7.2 oz (how much the bag weighs) = $0.28 (rounded since the original number was: 0.2763888)
Hooke’s law states that the distance that a spring is stretched by hanging object varies directly as the mass of the object. If the distance is 20 cm when the mass is 3 kg, what is the distance when the mass is 5 kg?
Answer:
33.3333333
Have a nice day! :)
NEED HELP ASAP!! Solve for m
Angle B = 56.309932474020215
This is through using a trigonometry calculator I forgot how to set it up tbh.
Hope this helps ;)
For extra info Angle C = 33.690067525979785.
They add up to 90 which added with the right angle of 90 means the interior angles add to 180 meaning it is in fact correct because a triangle is always 180 inside.
Math help please! - ( 3/5 )
Answer:
a) 5x+6
Step-by-step explanation:
distribution property
then simplify
Help me I need help!!!!!!!!!
is -4 diapers (mark as brainliest)
Jimmy wants to buy socks that cost $20.
How much change does he receive if he
gives the cashier $100?
Answer:
80
Step-by-step explanation:
100-20=80
Answer:
He receives $80 in change.
Step-by-step explanation:
Simple Math.
What do these (>, ≥, <, ≤) mean
Answer:
Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to
Step-by-step explanation:
The line under plays the role of an equal sign and the others are pretty self explanatory
Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.
Step-by-step explanation: hope this helps
Help needed ASAP will give you brainliest and 5 STARS RATE
Answer:
it is very long
Step-by-step explanation:
Answer:
It has more than one complete thought
Step-by-step explanation:
...
¿seria seguro enviar a un helicóptero a la cima de una montaña para llevar a cabo un rescate por aire? un grupo de senderistas se queda atrapado en la cima de una montaña. equipo de búsqueda y rescate sugiere ge se necesitará un trasporte aéreo en helicóptero pa rescatarles. el helicóptero disponible para el rescate puede volar con seguridad a una altura de 5.200 metros sobre el nivel del mar. desafortunadamente, se trata de una montaña inexplorada y no disponen de datos confiables acerca de la altura de la cumbre
la unica informacion que tienes es la siguiente :
un senderista tardó 6,5 horas en dar la vuelta alrededor de la base de la montaña y estimo que recorrió una distancia de 26 kilómetros aproximadamente
los senderistas atrapados se mantuvieron en contacto con el campamento base por radio y , aunque recorrieron mas de 32 kilómetros, estimaron que la distancia en línea recta hasta la cima de la montaña es de unos 6 kilómetros
Answer:
Is this question in Spanish
Please help me answer this!
Answer:
what?
Step-by-step explanation:
You can make a solar hot-dog cooker by shaping foil-lined cardboard into a parabolic trough and passing a wire through the focus of each end piece. How far from the bottom should the wire be placed?
Answer:
The wire should be placed at a height of 2.25 inches from the bottom
Step-by-step explanation:
With the assumption that the shape of the solar hot-dog cooker is a parabola. we have the equation for the shape given as y = a·x² + b·x + c
Whereby the coordinates of the vertex is taken as (h, k) = (0, 0), we have;
c = 0
∴ y = a·x² + b·x
From the diagram, we have;
When x = 6, y = 4
When x = -6, y = 4
Which gives;
4 = a·(-6)² + b·(-6) = 36·a - 6·b
4 = 36·a - 6·b.........................................(1)
4 = a·(6)² + b·(6) = 36·a + 6·b
4 = 36·a + 6·b........................................(2)
Subtracting equation (1) from equation (2) gives;
4 - 4 = 36·a - 6·b - (36·a + 6·b) = -12·b
0 = -12·b
b = 0
Therefore;
4 = 36·a - 6×0
a = 4/36 = 1/9
The focus = F(h, k + p)
p = 1/(4·a) = 1/(4 × 1/9) = 1/(4/9) = 9/4 in = 2.25 inches
The coordinates of the focus, F = (h, k + p) = (0, 9/4) = (0, 2.25)
Therefore, the wire should pass through the focus and placed at 2.25 inches above the bottom.
Please help me answer this question
Answer:
LOOK BELOW !!!
Step-by-step explanation:
[tex]7y = 8x - 14[/tex]
get rid of the Y and put in a 6
[tex]7(6) = 8x - 14[/tex]
[tex]7 \times 6 = 42[/tex]
[tex]42 = 8x - 14[/tex]
we need to get rid of the negative 14 so its only 8x.
to get rid of 14 on one side you add it to the other
[tex]42 + 14 = 56[/tex]
[tex]56 = 8x[/tex]
to get X by itself have to divide 8 by both sides
[tex]56 + \div 8 = 7[/tex]
[tex]8x \div 8 = x[/tex]
[tex]x = 7[/tex]
Write the expression below as a product of two factors.
12n + 8m - 4
Answer:
4(2m + 3n - 1)
I hope this helps!
Answer:
12=3*4 or 6*2. 8=4*2 and -4=4*-1
is the factors.