Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
-1 + 3x< 14 solve the equality
Answer:
x = 5
Step-by-step explanation:
add positive one to both -1 and 14
divide each side by 3
Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin
Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.
Evaluate the expression.
(-5)(5) +5=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-5)(5) +5 Equation
Step 2
(-5)(5) +5 Simplify
(-5)(5) +5
Step 3
(-5)(5) +5 Add and multiply them
(-25)+5
answer
-20
Someone help me with this ASAP
Answer:
140
Step-by-step explanation:
The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140
x = 140
Please help ASAP !!!
Paulo sells 249 medium pumpkins for $8 each and 84 large pumpkins for $14 each. How much money does Paulo collect selling the medium and the large pumpkins
Answer: $3,168
Step-by-step explanation:
Paulo sells 249 medium pumpkins for $8 each. The money Paulo makes from this is:
= 249 * 8
= $1,992
Paulo also sells 84 large pumpkins for $14. The money made is:
= $1,176
Total from selling both is:
= 1,992 + 1,176
= $3,168
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answer:
y>5−2x/3
Step-by-step explanation:
are you a robot cause i think you are
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
please answer this question
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
One solution to a quadratic equation is x = -2i
What is the other solution?
I believe it would be x=2i
:)
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates
Step-by-step explanation:
Original x-value = 21
New x-value = 21 * (-1/7) = -3.
Original y-value = 28
New y-value = 28 * (-1/7) = -4.
Hence the coordinates of the new point is (-3,-4).
Answer:
Original value of x-axis =21
New value of x-axis = 21×(-1/7) = -3
Original value of y-axis =28
New value of y-axis = 28×(-1/7) = -4
Hence, the new coordinate is (-3,-4).
7(2x+3)=3(4x+6)+2x+3
Answer:
[tex]7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0[/tex]
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
Carmen is buying a fitness tracker that costs $129.95. She has a coupon for 20%. After the coupon is used, 7% tax will be charged. What is the final cost of the fitness tracker with tax?
9514 1404 393
Answer:
$111.24
Step-by-step explanation:
The use of a 20% off coupon causes the price to be multiplied by (1 -20%) = 0.80. The addition of 7% tax causes the discounted price to be multiplied by (1 +7%) = 1.07. Multiplying the price by these two factors gives ...
$129.95 × 0.80 × 1.07 = $111.24
The final cost with tax is $111.24.
Jim is making salsa recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of the cilantro if Jim has one cup of cilantro how many cups of tomato sauce with he need 
The polynomial 5x — 4x² + 3 — 2x³ is in standard form.
True or False.
Answer:
False.Answer = -2x³ - 4x² +5x +3MARK ME AS A BRAINLIST AND FOLLOW ME2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?
Answer:
Slope/m=3, y-intercept=5
Step-by-step explination
2y-6x=10
Factor out the common term of two
2y/2-6x/2=10/2 /=dividing
y-3x=5
Add 3x to both sides
y-3x+3x=5+3x
Simplify
y=5+3x
To get the slope-intercept form (y=mx+b)
y=3x+5
y= -5/3x + 3
y= 1/3x - 3
Answer:
y =-2/3x
x = 1
Step-by-step explanation:
adding both equations and then we find the value of y which is given below
y = -2/3x
and then putting the value of y in any above equation then we find the value of X which is given below
X = 1
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
What is X
2(x−3)=8(x−6)
100 Points
Hey there!
The answer to your question is x = 7
We can solve this by simplifying both sides of the equation:
2x - 6 = 8x - 48
Then, add 48 to both sides:
2x + 42 = 8x
Then, subtract 2x from both sides:
42 = 6x
Lastly, divide both sides by 6:
7 = x
Hope it helps! Have a great day, and good luck on your assignment!
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answer:
d is the answer
Step-by-step explanation:
