Answer:
a
Step-by-step explanation:
Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.
(8,1); y=-8x-1
Answer:
y= ⅛x
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product if the gradients of 2 perpendicular lines is -1.
Gradient of given line= -8
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
y=⅛x +c
To find the value of c, substitute a coordinate.
When x=8, y=1,
1= ⅛(8) +c
1= 1 +c
c= 1 -1
c= 0
Thus, the equation if the line is y= ⅛x.
What is the distance between the coordinates (-6,5) and (-3, 2)? Round your
answer to the nearest tenth.
Answer:
The distance between the points is approximately 4.2 units.
Step-by-step explanation:
Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:
[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]
[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]
[tex]\sqrt{3^{2} + -3^{2} }[/tex]
[tex]\sqrt{9 + 9}[/tex]
[tex]\sqrt{18}[/tex]
≈ 4.2 units
Hope this helps :) Feel free to ask me any questions!
Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3
Answer:
B
Step-by-step explanation:
Which inequality is true?
5(−2)>10
3(13)<39
11+(−3)<9
5 + 12>18
Answer: 11 + (-3) < 9 is true.
Step-by-step explanation:
When there is a + in front of an expression in parentheses , the expression remains the same.
11 - 3 < 9
Now subtract.
8 < 9
Using the ruler postulate, find the distance between –9 and 2.
Answer:
11 units
Step-by-step explanation:
According to ruler postulate, if there are two points A with coordinate a
and point B with coordinate b, \
then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.
mathematically it can be represented as
AB = |a-b| or |b-a|
_________________________________________
in the given problem points are -9 and 2
thus distance
distance between –9 and 2 = |-9 -2| = |-11| = 11
absolute value of -11 is 11
alternatively, distance can be calculated as
distance between –9 and 2 = |2 -(-9) | = |2 + 9 | = |-11| = 11
Which statement is not true about these triangles?
Answer:
the answer is the second option.
Step-by-step explanation:
Answer:
the second option
Step-by-step explanation:
∠S corresponds to ∠V.
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles. What type of trianglr is created by the three cities?
Answer:
the triangle is an obtuse
Step-by-step explanation:
draw it out
Answer: Acute Triangle
Step-by-step explanation:
54 is the hypotenuse because it is the longest side.
Square all of the sides.
So
54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two on the right and they will be greater than 2916.
Because of that, you will have an acute triangle because 22^2+51^2>54^2
.A linear equation in one variable has
Only one solution
Two solutions
More than two solutions
No solution
Answer:
Only One Solution
Step-by-step explanation:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Which is the equation in point slope form for the line that passes through (3,7) and is perpendicular to 3x-5y=8?
Answer:
Step-by-step explanation:
eq. of line is 3x-5y=8
5y=3x-8
y=3/5 x-8/5
its slope=3/5
slope of line perpendicular to it=-5/3
eq of line with slope -5/3 and passing through (3,7) is
y-7=-5/3(x-3)
or 3y-21=-5x+15
or 5x+3y=15+21
or 5x+3y=36
what is the sqaure root of 64?
Answer: 8
Step-by-step explanation:
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
reported heights at the school than the mean of the actual, measured heights at the school?
Number Reported height Measured Height Difference
Description
1
61
62
-1
Under reported
2
68
68
0
Accurately reported
3
57.5
56.5
1
Over reported
4
48.5
47
1.5
Over reported
07
75
72
3
Over reported
6
65
65
O
Accurately reported
7
80
78
2
Over reported
8
68
67
1
Over reported
9
69
69.5
-0.5
Under reported
10
63
62.5
0.5
Over reported
Answer:
0.75
Step-by-step explanation:
The table is not well presented (See Attachment)
There are at least two approaches to this question
Method 1:
Steps
1. Calculate the mean of reported heights
Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10
Mean of reported heights = 655/10
Mean of reported heights = 65.5
2. Calculate the mean of measured heights
Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10
Mean of measured heights = 647.5/10
Mean of measured heights = 64.75
3. Get their difference
Difference = Mean of reported heights - Mean of measured heights
Difference = 65.5 - 64.75
Difference = 0,75
Method 2: Calculate the mean of their difference
Mean of difference = Sum of difference / Number of observations
Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10
Mean of difference = 7.5/10
Mean of difference = 0.75
Note that in both cases, the result is 0,75.
Hence, the reported heights at the school is 0.75 greater than the actual measured height
It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75
To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
1x16
Ste divided by 16 p-by-step explanation:
Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?
Answer:
29
Step-by-step explanation:
2s-15=h
2(22)-15=h
44-15=h
29=h
Answer:
29
Step-by-step explanation:
22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.
Solve all these math questions and brainliest is yours! First come first valid answer will be brainliest. Include the measurements like cm, ft, m, etc
Answer:
Step-by-step explanation:
trapezoid
A=(B1+B2)/2*h
kite
A=(pq)/2
1)((3+5)/2)*4
(4/2)*4
2*4
8 cm^2
2)
(10*10)/2
100/2
50 cm^2
3)
(14*8)/2
112/2
56m^2
4)
((10+15)/2)*6
(25/2)*6
25*3
75in^2
5)
(14*16)/2
224/2
112 ft^2
6)
((24+13)/2)*9
(37/2)*9
18.5*9
166.5 mm^2
7)
((36+60)/2)*30
(96/2)*30
96*15
1440 in^2
8)
(12*12)/2
144/2
72cm^2
9)
28=(14*2x)/2
28=7x
x=4m
10)
((8+4)/2)*4
(12/2)*4
6*4
24 ft^2
please help asap C: :D
Answer:
$997
Step-by-step explanation:
Base Salary: $150 (given)
Additional information on everything he sells: 14%
He sells $6050.00 last week, so then his commision would be 14% of the $6050.
x = 150 + ( 0.14 x 6050 )
OR
14/100 x 6050
would equal: $847
Total pay for last week would equal base salary and the additional pay.
$150 + $847
= $997
His total pay for last week would equal $997.
Hope helps! - Stargaze
Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .
Answer:
Step-by-step explanation:
a1 = 5
common difference = 2nd term - 1st term= 14 -5 = 9
n = 31
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]
Answer:
i took the tests and the answer is d
Can someone help me on these two questions?
Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1. 88
2. 48
Step-by-step explanation:
1. The total of the inner angles of the hexagon is 720
95+120+120+172+125=632
720-632=88
2. 2x=x+8
x=8
If we put all the x's in place and add them, the result is: 48
What are the next two numbers in this pattern?
3,-9, 27, -81, ...
A 243, -729
B -135, 189
C-243, 729
D 135, -189
I really need your help if I get this right I’ll pass
Simplify 8a + 4a + 2
Answer:
12a+2
Step-by-step explanation:
You can add 8a and 4a together to get 12a
x + 13 = 7x+1
Solve for x and show steps
x + 13 = 7x+1
Subtract x from both sides:
13 = 6x +1
Subtract 1 from both sides:
12 = 6x
Divide both sides by 6:
x = 2
Answer:
x=2
Step-by-step explanation:
x+13=7x+1
6x=12
x=2
what is the slope of the line graphed below (3,6) (0,-1)
Answer:
B
Step-by-step explanation:
Answer:-2
Step-by-step explanation:
pls answer as quick as possible for brainliest!!
Answer:
15
Step-by-step explanation:
(2 1/2 + 1 1/2 + 3 1/2) = 7 1/2 * 2 = 15
Answer:
15
Step-by-step explanation:
2.5+1.5+3.5 = 7.5
7.5*2 = 15
14 weeks is expressed as a percentage of 50 weeks is?
Answer:
28%
Step-by-step explanation:
Fraction= 14 out of 50 weeks
To find percentage multiply the fraction by 100
14/50 * 100
= 1400/50
= 28 percent
Answer:
28%
Step-by-step explanation:
50 ws ................ 100%
14 ws ......................x%
x = 14*100/50 = 14*2 = 28%
Linda has scored 84, 93, 91, and 60 on her previous four tests. What score does she need on her next test so that her average (mean) is 82?
Answer:
She needs to score 82
Step-by-step explanation:
Mean of five test scores = 82
Let the score she got in fifth test = x
[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]
A calculator that is regularly priced $20 is on
sale for 40% off. What is the sale price of the
calculator?
Answer:
$12.00
Step-by-step explanation:
a product that normally costs $20 with a 40 percent discount will cost you $12.00, and you saved $8.00.
Given that: 2√2−√5 / 3√2+2√5 = =
Answer:
7√10/2 - 11
Step-by-step explanation:
(2√2−√5) / (3√2+2√5)=
(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=
(12+10-3√10-4√10)/(18-20)=
(22-7√10)/-2= 7√10/2 - 11
Which sentence would be a good counter example to this statement ?
A line can exist in only one plane.
A. A line intersects one plane and the another.
B. A line is to one plane at a time.
C. A line that is Coplanar exists in more than one place.
D. A line is he intersection of two planes
Please help I need help with this
Answer:
The answer is "Option D".
Step-by-step explanation:
A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.
Answer:
D>
Step-by-step explanation:
The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?
Hey there! I'm happy to help!
The perimeter is all of the sides of a shape added up.
Since all of the sides on a square are the same and we know one side, we just multiply it by four.
2.59(4)=10.36
Therefore, the patio is about 10.56 meters.
I hope that this helps! :D
Answer:
The best estimate is 10. Trust me, I did this assessment too.
Step-by-step explanation:
2.59 x 4 = 10.36. So it's 10.
Determine which equation below can be solved to find the value of Angle
A. *
Answer:
i believe the correct answer is x+90+63=180
Step-by-step explanation:
Answer:
x + 90 + 63 = 180
Step-by-step explanation:
We do not have the value for angle B so we have to assume that B plus the 45 is 90. using this info we can see that A + 90 + 63 is equal to the line, which is 180(as all lines are). We can then get the equation x + 90 + 63 = 180
Sin (7pie/6)= ????????????
Answer: B -1/2
Step-by-step explanation