Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + 2 x + 10 a. (1, 9) c. (1, 10) b. (-1, 10) d. (-1, 9)
Step-by-step explanation:
Answer: its d
Step-by-step explanation:
sophia is designig a logo with three lines,y, m, and n. Line m passes through point (-2, -1) and is perpendicular to the graoh of y=-2/3 x +6. line n is parallel to line m and passes through the point (4, -3). what is the equation in slope-intercept form of linen?
Answer:
y = 3/2x - 9
Step-by-step explanation:
Finding equation of line m
⊥ to the line y = -2/3x + 6new slope = -(-3/2) = 3/2Passes through the point (-2, -1)y + 1 = 3/2(x + 2)y + 1 = 3/2x + 3y = 3/2x + 2Equation of line n
Parallel ⇒ slope is same = 3/2Passes through the point (4, -3)y + 3 = 3/2(x - 4)y + 3 = 3/2x - 6y = 3/2x - 9Answer:
[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]
Step-by-step explanation:
Equation of line m
If two lines are perpendicular to each other, the product of their slopes will be -1.
The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]
Therefore, the slope of the line m is:
[tex]\implies m \times -\dfrac23=-1[/tex]
[tex]\implies m=\dfrac32[/tex]
If line m passes through point (-2, -1), then the equation of line m is:
[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]
[tex]\implies y+1=\dfrac32(x+2)[/tex]
[tex]\implies y=\dfrac32x+2[/tex]
Equation of line n
If line n is parallel to line m, then they will have the same slope.
Therefore, slope of line n is [tex]\frac32[/tex]
If line n passes through point (4, -3), then the equation of line n is:
[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]
[tex]\implies y+3=\dfrac32x-6[/tex]
[tex]\implies y=\dfrac32x-9[/tex]
please help me Find the value of x
Answer:
x=3
Step-by-step explanation:
3x+1+15
/2
= 12.5
a number d is decreased by 5 and then doubled
Is this adjacent, vertical, linear, or complimentary?
Answer:
the adjacent is compimentary
Step-by-step explanation:
because I passed
Admission to the county fair is $15, and each ride ticket costs $1.75. Write an expression to describe the total cost of 8 rides.
The height of 14-year-old boys in the United States is normally distributed with a mean of 64.5 in, and a standard deviation of 3.1 in.
Label the normal curve by entering the value at each standard deviation in the box.
Answer:
61.4-67.6 - 68.37% likely to fall within this range.
58.3-70.7 - 95.45% likely to fall within this range.
55.2-73.8 - 99.73% likely to fall within this range.
Step-by-step explanation:
[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.
Which mold can he use to make the larger-sized candle?
A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold
B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold
C. a cylinder with a height and a radius that are each double the length of those of the original mold
D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Step-by-step explanation:
Answer:
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.
Step-by-step explanation:
na conta de adição (soma) representa a seguir
Step-by-step explanation:
I only understand English i am sorry
•** Plss help me **•
I think the answer is 30km^2
1/2 ×4 × 15 = 30
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
Answer:
NoYesYesYesNoNoStep-by-step explanation:
18+x=24 and 6x+3 fail distributive property, while 3(6+x)=72 is not the same as 3(6+x)=24
BRAINLIEST FOR RIGHT ANSWER!
Find the surface area of this rectangular prism. Be sure to include the CORRECT UNIT in your answer.
Answer:
188 m²
Step-by-step explanation:
The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.
1) Plug the values into the formula.
[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]
2) Solve it.
[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]
A = 188 m²
Two angles are supplementary angles if the sum of their measures is 180 degrees. Find the measures of two supplementary angles if the measure of one angle is 3 degrees less than twice the other.
Answer:
60 degrees and 119 degrees
if the smaller angle is x, then
x + 2x - 3 = 180
3x -3 + 3 = 180 + 3
3x/3 = 183/3
x=61
2(61) - 3 = 119
PLEASE HELP: A random sample of 200 students are chosen from a student population of 1200 students. which sample do you think is more likely to be representative of the population
Answer:
random sampling is more accurate
PLEASEE HELPPP!!!!
The area of a rectangle is 140 square inches. The
perimeter of the same rectangle is 48 inches. What
are the length and width of the rectangle?
Answer:
Length can be 14 - 10 inches
Width can be 10 - 14 inches
Robin has a basket that has 2 oranges in it
and 5 apples. What is the probability that she
chooses 3 oranges in a row with replacement.
Answer:
it is very high because
Step-by-step explanation:
5-2+3 so maybe it a subtraction problem hope this works
Is the sequence An a function? Why or why not?
Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.
Hope this helps! Have a good day! :)
A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
Answer:
1 glass - 189 mm
thn 36 - 189 x 36
6804mm - 0.6 littre is holded by 36 glass
A 2-pack of jump ropes costs $1.80. What is the unit price?
$
per jump rope
Answer:
90 cents
Step-by-step explanation:
you divide 1.80 by 2 and get .9 which is equal to 90 cents
Answer:
$0.90
Step-by-step explanation:
literally just divide by 2
Solve For X, using the given triangle.
Please answer quick! Also, keep in mind that this uses stuff like sin, cos, and tan. I'm looking for like trig and whatnot, please help!
Step-by-step explanation:
[tex] \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83[/tex]
Answer:
x = 19.8
Step-by-step explanation:
You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.
tan = opposite/adjacent
31tan = x/33
Multiply both sides by 33
33(31tan) = (33) x/33
33(31tan) = x
Find the tan of 31° using a scientific calculator.
tan 31° is about 0.6
Solve for x
33(0.6) = x
x = 19.83
rounded to the the nearest tenth
x = 19.8
If 25 workers can complete a work in 48 days, then in how many days 20 workers will complete the same work?
Answer:
heya! ^^
given that ,
25 workers together complete a certain piece of work in 48 days.
here , we've to find the number of days in which 20 workers can complete the same work ~
_____________________________
so let's start ~
★ 25 workers complete the work in = 48 days
★ 1 worker will complete the work in = 25 × 48 days
now ,
29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]
hope helpful :D
Answer:
60 days
Step-by-step explanation:
Thing to Remember
Number of workers is inversely proportional to the number of daysSolving
25 men can do a certain amount of work in 48 days25 men is reduced to 20 men ⇒ x 4/5Therefore, no. of days = inverse of rate of workers x 48⇒ 5/4 x 48 = 5 x 12 = 60 daysFind the product of 3.6 and 0.003
Answer:
0.0108
Step-by-step explanation:
3.6 multiplied by 0.003
1. First you write down the numbers one on top of the other
0.003
x 3.6
-----------
2. Multiply 6 by all the numbers in 0.003
0.003
x 3.6
-----------
0018
3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place
0.003
x 3.6
---------------
0018
+ 00090
---------------
4. Add the numbers you got
0.003
x 3.6
---------------
0018
+ 00090
---------------
00108
5. Count the number of decimal points or numbers after the decimal point in both numbers and add them
3.6 = one decimal place
0.003= three decimal places
Three plus one = four
6. Count the total number of decimal places
0010.8 = one decimal place
001.08 = two decimal places
00.108 = three decimal places
0.0108 = four decimal places
Evaluate f(p) = p + 2 when p = -3
Answer:
-1
Step-by-step explanation:
we plug in p = -3 in the equation to get the answer.
f(p) = -1
Adam earns $36 for every four hours of work how long will it take him to earn $144
Answer:
It will take 16 hours to earn $144.
Step-by-step explanation:
If Adam earns $36 in 4 hours,
36 = 4k
k = 9
Therefore, expression for total earnings will be,
y = 9x
a). For y = $144, 144 = 9x x = 16 hours
Compare the functions shown below:
g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3
Using complete sentences, explain which function has the greatest y-intercept.
Answer:
I know 3 h(x)=4sin(2x+pi)+3 is the correct option.
Step-by-step explanation:
I don't exactly know why but based on examples in this class I made this conclusion.
Answer:
all are -3
Step-by-step explanation:
substitue 0
Write an expression for the area of the following regular polygon?
Answer:
126x - 42x²
Step-by-step explanation:
Finding the necessary information
P = Perimeter = 6(6 - 2x) = 36 - 12xa = 7xArea
1/2 x (36 - 12x) x 7x(18 - 6x) x 7x126x - 42x²PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54
Answer:
M"(-5, -7)N"(-5, -3)O"(0, -3)Step-by-step explanation:
Each of the transformations can be written in terms of what they do to the coordinates:
(x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW
(x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down
__
Together, these transformations result in the composite transformation ...
(x, y) ⇒ (-y -7, x -8)
The end values of the original points are then ...
M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)
N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)
O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)
_____
Additional comment
You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)
Alternatively, you can turn your head sideways when you look at the computer screen.
In the attachment, the black arrow represents the translation vector, 7 left and 8 down.
A real estate agent works on a 9% commission. What is her commission on a house that she sold for $691,600?
Answer:
$ 62 244
Step-by-step explanation:
Commission = .09 * 691600 =
f(X)= 4X+8 g(X)= X+3, find f(X) • g(X)
Answer:
[tex]4x + 20[/tex]
Step-by-step explanation:
[tex]4(x + 3) + 8 = 4x + 12 + 8 = 4x + 20[/tex]
question: find the area of the following figure.
Answer:
Area=length×width
11.4×11.4=129.96
so the area is 129.96
Hope this helps!
length= 11.4 in
to find:the area of the given figure.
solution:[tex]a = l \times l \: or \: l {}^{2} [/tex]
[tex]a = {11.4}^{2} [/tex]
[tex]a = 129.96 \: {in}^{2} [/tex]
therefore, the area of the square is 129.96 square inches.