Answers
Answer:
The slope of NP is [tex]\frac{-5}{7}[/tex] ⇒ B
Step-by-step explanation:
In any square, every two opposite sides are parallel and every two consecutive sides are perpendicularParallel lines have the same slopeThe product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (reciprocal m and change its sign)The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In square MNPR
∵ MN and NP are adjacent sides
∴ MN ⊥ NP
∵ M = (3, 8) and N = (-2, 1)
∴ x1 = 3 and y1 = 8
∴ x2 = -2 and y2 = 1
→ Use the rule of the slope above to find the slope of MN
∴ m(MN) = [tex]\frac{1-8}{-2-3}[/tex]
∴ m(MN) = [tex]\frac{-7}{-5}[/tex]
∴ m(MN) = [tex]\frac{7}{5}[/tex]
∵ MN ⊥ NP
∴ The product of their slopes = -1
→ Reciprocal the slope of MN and change its sign
∴ m(NP) = [tex]\frac{-5}{7}[/tex]
∴ The slope of NP is [tex]\frac{-5}{7}[/tex]
Related Questions
Please hurry
Lacy is running to raise money in a fundraiser. If her goal is to run 75 miles, how many full days would she leave have to run if she ran the distance of 3.5 miles each day?
Answers
Answer: 21 Full days
Step-by-step explanation:
Divide 3.5 by 75
Answer:
22
Step-by-step explanation:
You divide the number of miles by the miles per day and you get 21.43 and it says whole days so you have to round up to 22 days.
The amount of Interest a store charges a customer for buying on the installment plan is a?
A) annual percentage rate
B sales tax
C unpaid balance
D) finance charge
Answers
annual percentage rate
Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answer: a=1, b=-12. I don’t know how to get the answer. Please show your workings and explain. If you help me, I will give Brainliest Answer Award to you. The topic is simultaneous equations, algebra. This question is from a Grade 8 workbook.
Answers
Answer:
a = 1, b = - 12
Step-by-step explanation:
we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:
(x - 3)(x + 4)
x^2 + - 3x + 4x - 12
x^2 + x - 12
therefore a = 1 and b = - 12
Step-by-step explanation:
firstly substitute x=3 into [tex]x^{2} +ax+b=0[/tex]
[tex]3^{2} +3a+b=0[/tex]
9+3a+b = 0
b = -3a-9
secondly substitute x=-4 into [tex]x^{2} +ax+b=0[/tex]
[tex](-4)^{2} +(-4)a+b=0[/tex]
16-4a+b = 0
b = 4a-16
combine the equations above,
-3a-9 = b = 4a-16
so -3a-9 = 4a-16
7a = 7
a = 1
then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)
b = 4(1)-16 = -12 or b = -3(1)-9 = -12
Select all ordered pairs that satisfy the function
y = 4x +3.
O (-1-1)
(211)
(4,7)
(71)
Answers
Answer:
(-1,-1 )
and (2,11)
Step-by-step explanation:
put first value to x and second value to y and see if y satisfy the equation
Emily makes $24 per hour. She worked 80 hours of regular time for the last pay
period and 5 hours of overtime at $36 per hour.
a. What was her gross pay?
b. How much money in deductions was taken off her cheque if her net pay was
$1719.50?
C. What percent was taken off as deductions? (to one decimal place)
Answers
Answer:
A. The gross pay is $2100 (24×80)+(5×36)
B. 2100-1719.50 = $380.5
C. (1719.50/2100) × 100 = 81.9%
Pls help will give Brainiest
Answers
Answer:
-5
Step-by-step explanation:
If 2a+4b=5 and a is equal to three times b, what is 3a?
Answers
Answer:
3A = 3(1 1/2) = 4 1/2
Step-by-step explanation:
2A + 4B = 5
A = 3B
2(3B) + 4B = 5 [substitute the A for the 3B]
10B = 5 so B = 1/2 [now plug the info in]
2A + 4(1/2) = 5
2A + 2 = 5 [subtract 2 from both sides of the equation]
2A = 3 [divide by 2 to isolate A]
A = 3/2 [now plug in the answers to check your work]
2(3/2) + 4(1/2) = 5
6/2 + 4/2 = 3 + 2 = 5
I need to find the value of X if someone could help that’ll be great! Thank you
Answers
A vacuum cleaner manufacturer offers to its customers two models, three choices of colors, and six accessory packages. How many vacuum sets are required for a complete display
Answers
Answer:
36 Vacuum sets
Step-by-step explanation:
Calculation for How many vacuum sets are required for a complete display.
Using this formula
Numbers of required vacuum sets=Models* Choices of colors*Accessory packages
Let plug in the formula
Numbers of required vacuum sets=2*3*6
Numbers of required vacuum sets=36 vacuum sets
Therefore the vacuum sets that are required for a complete display is 36 vacuum sets
  Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answers
Answer:
Just about 3.6
Step-by-step explanation:
a² + b² = c²
√(a² + b²) = c
√(2² + 3²) = c
√(4 + 9) = c
√(13) = c
3.605551275 = c
c ≈ 3.6
Answer:
p = 3 as angle C and angle D are equal which means they are isoceles triangle and their base sides are equal i.e DB=CB so p. = 3
plzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
(y+1)^3
Step-by-step explanation:
power 5 is subtracted by power 2 as our rule says that powers when divided have to be subtracted. Hence the above mentioned ans comes.
Hope this helps you
Answer:
(y + 1)³
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(y+1)^5}{(y+1)^2}[/tex] ← with a = (y + 1 ) , then
= [tex](y+1)^{(5-2)}[/tex]
= (y + 1)³
The third and fourth number in an exponential sequence 100 and 500. what are the first and second numbers in this sequence?
Answers
Answer:
4 and 20
Step-by-step explanation:
100 times 5 is 500. If we go backwards 500 ÷ 5 = 100.
100 ÷ 5 = 20. 20 ÷ 5 = 4.
An exponential sequence is a sequence that grows more every time. It would get really big really quickly.
The first and second numbers in this sequence is 4 and 20
Given that,
The third and fourth number in an exponential sequence 100 and 500.Based on the above information, the calculation is as follows:
[tex]= 500 \div 100[/tex]
= 5
And,
[tex]= 100 \div 5 = 20, \\\\20 \div 5 = 4[/tex]
Learn more: https://brainly.com/question/834969?referrer=searchResults
for questions 3 & 4. Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a similarity statement
Answers
9514 1404 393
Answer:
3. ΔBEA ~ ΔBCD by AA
4. ΔPXY ~ ΔPQR by SSS
Step-by-step explanation:
3. The missing angle in ΔBEA is angle E, which has measure ...
∠E = 180° -42° -53° = 85°
So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.
__
4. Shortest-to-longest, the side ratios of the two triangles are ...
12 : 15 : 18 = 4 : 5 : 6
and
16 : 20 : 24 = 4 : 5 : 6
Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.
Una caixa plena de raim pesa 21 kilos. Si el raim que hi ha pesa 19 quilo, quant pesa la caixa buida
Answers
Aquesta pregunta és incompleta
Pregunta completa
Una caixa plena de raïm pesa 21 quilos. Si el raïm d’allà pesa 1.9 quilos, quant pesa la caixa buida
Answer:
7.6 quilograms
Step-by-step explanation:
Pas 1
Convertim el pes de la caixa completa de raïm a quilograms
1 lliura = 0.454 quilograms
21 lliures = x
Creu Multiplicar
x = 21 × 0.454 quilograms
x = 9.52544 quilograms
Aproximadament 9.5 quilograms
Ens van dir que el raïm d’allà pesava 1.9 quilos,
Per tant, el pes de la caixa buida és
= 9.5 - 1.9
= 7.6 quilograms
El pes de la caixa buida és de 7.6 quilograms
Filippo Brunelleschi purchased school supplies at Office Emporium for $97.62. He then purchased a dictionary for $22.95 and a CD for $14.78 at Books Express. For all purchases he must pay the state sales tax of 6.5% and the county tax of 0.5%. What is the total tax on his purchases?
A) $7.49
B) $8.47
C) $9.47
D) $9.89
Answers
Answer:
C
Step-by-step explanation:
97.62+22.95+14.78=135.35
135.35*.07
9.4745
Rounded to 9.47
At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score
Answers
Answer:
Harry has a score of 30
Step-by-step explanation:
Let us represent their scores as:
Nathan = x
Harry = y
Jack = z
At the end of a football season a coach is adding up everyone's scores
Nathan has scored 11 more than harry
x = y + 11
Harry has scored 10 more then jack.
y = z + 10
z = y - 10
If the total of their scores is 91
x + y+ z = 91
y + 11 + y + y - 10 = 91
3y + 1 = 91
3y = 91 - 1
3y = 90
y = 90/3
y = 30
Since Harry's score is represented as y, Harry has a score of 30
PLEASE HELP MY MOM WILL KILL ME ANSWER WILL GIVE 60 POINTS IN NEXT QUESTION IF CORRECT PLEASE AND BRAINLIST PLEASE PLEASE PLEASE
Answers
Answer:
rip
Step-by-step explanation:
here lies the person who got killed by there mom bc she didnt figuar out what 2+2= she relly thought it was five
Answer:
9) 60 artists
10) 27 black shoes
11) Alexandra is wrong, 30% of 60 and 60% of 30 are equivalent, they both equal 18.
12) 96 dogs
13) 125 students
14) 600 students
15) 50 tulips
16) 70 cars
17) The percent that Rory uses has to be greater than 100.
through: (-3,-5), parallel to y = 2x + 2
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):
y = mx + b
y = 2x + 2
(-3, -5)
-5 = 2(-3) + b
-5 = -6 + b
-5 + 6 = b
b = 1
Now you have your final equation:
y = 2x + 1
*Remember that parallel lines have the same slope, so finding a new slope is not needed!
the real square root of -16
Answers
Answer:
ur answer is 4 hope it helps
The sum of the measures of angles for a triangle is 180°. Find the value of x and then the measures of the 3 angles
Answers
Answer:
The value of x is 50
The measures of the 3 angles are 50°, 100°, 30°
Step-by-step explanation:
Let us solve the question
∵ The sum of the measures of the angles of a triangle is 180°
∵ The measures of the 3 angles of the given Δ are x°, 2x°, (x - 20)°
→ Add them and equate the sum by 180
∴ x° + 2x° + (x - 20)° = 180°
→ Add the like terms
∵ (x + 2x + x) + (-20) = 180
∴ 4x - 20 = 180
→ Add 20 to both sides
∵ 4x - 20 + 20 = 180 + 20
∴ 4x = 200
→ Divide both sides by 4 to find x
∴ x = 50
∴ The value of x is 50
To find the measures of the 3 angles substitute x by 50 in their expressions
∵ The measure of one angle is x
∴ The measure of the 1st angle is 50°
∵ The measure of the 2nd angle is 2x
∴ The measure of the 2nd angle = 2(50)
∴ The measure of the 2nd angle is 100°
∵ The measure of the 3rd angle is (x - 20)
∴ The measure of the 3rd angle = (50 - 20)
∴ The measure of the 3rd angle is 30°
∴ The measures of the 3 angles are 50°, 100°, 30°
Camelia misses 8 points on the first math test. She misses 5 points on the second math test. What integer represents the number of points Camelia misses on the first two tests?
Answers
Answer:
13.
Step-by-step explanation:
If she misses 8 on the first and 5 on the next, you need to add to find the total number of points missed overall. 8 + 5 = 13. Therefore, she missed 13 points on the first two tests.
Julie’s Great Dane weighs 45 kg and Anne’s cat weighs 7 kg. How much bigger, as a percentage, is Julie’s dog?
Answers
Answer:
0.3%
Step-by-step explanation:
45kg-15kg=30kg
Percentage: 30kg = 0.3%
so 0.3%
hope it helps!
An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per hour?
Answers
Which cereal is a better buy and how much does it cost per ounce? Cereal A: 18 oz for $3.96 or Cereal B: 24 oz for $4.80?
Answers
Answer:
Cereal B
Step-by-step explanation:
You need to divide the price by its ounces to find the price per ounce.
Cereal A is 3.96/18= 0.22 per ounce
Cereal B is 4.80/24= 0.20 per ounce
This shows that cereal B is cheaper per ounce
If W + 6 = 3 and v-4 = 2, what is the value of w + v?
Answers
Answer:
w = - 3 and v = - 2
Step-by-step explanation:
Because w + 6 = 3 you would subtract 6 and whatever you do to one side you would do to the other.
w= - 3
Answer:
[tex]w + v = 3[/tex]
Step-by-step explanation:
Solve for w
[tex]w + 6 = 3[/tex]
Move 6 to subtract 3.
[tex]w = 3 - 6 \\ w = - 3[/tex]
Solve for v
[tex]v - 4 = 2[/tex]
Move 4 to add 2
[tex]v = 4 + 2 \\ v = 6[/tex]
Solve for w+v
Substitute w = -3 and v = 6
[tex]w + v = - 3 + 6 \\ w + v = 3[/tex]
I need this math problem done as soon as possible!
Answers
Answer:
See below
Step-by-step explanation:
Parent function:
y = 3ˣTransformed function:
y = 4(3)⁻²ˣ⁺⁸ + 6, (note. I see this as 8, sorry if different but it doesn't make any change to transformation method)Transformations to be applied:
f(x) → f(-x) reflection over y-axisf(-x) → f(-2x) stretch horizontally by a factor of 2f(-2x) → f(-2x + 8) translate 8 units rightf(-2x + 8) → 4f(-2x + 8) stretch vertically by a factor of 44f(-2x + 8) → 4f(-2x + 8) + 6 translate 6 units upPlease help due in 10 minutes
Answers
It's been awhile since I've done this but I think that D is the answer hope this helps
Hey there I really need help with this it’s due tonight and I haven’t got a chance to do it may you please help me?
Answers
Answer:
1. Second Option, 2. Second Option, 3. Second Option, 4. First Option, 5. Sonia, 6. 1/2 a mile (.5), 7. $0.25, 8. $21, 9. Stan, Tran, Fran.
Step-by-step explanation:
For all of them, just divide the top number by the bottom number and compare all the numbers.
When the ? method , interest is charged only on the balance remaining in your account ?
A) annual percentage rate
B) unpaid balance
C) sales tax
D) finance charge
Answers
lin paid $94 for 6 meals. How much would 9 meals cost?
Answers
Answer:
140.4
Step-by-step explanation:
Answer:
$141.01 and if it is the nearest whole number it would be $141
Step-by-step explanation:
first you have to do 94 divided by 6. you do this to see how much 1 meal cost.
then you get: 15.67
now you take 15.67x3=47.01
cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.
now we take 47.01+94=141.01
we just need to add 3 to the 6 we have to make 9 meals.
so your answer would be $141.01
plz give brainliest!