Answer:
The points that are 17 units from P(-97,2) are:
(-105,-13) and (-105,17)
Step-by-step explanation:
Distance between two points
The distance between points A(x,y) B(w,z) can be calculated with the formula:
[tex]d=\sqrt{(w-x)^2+(z-y)^2}[/tex]
One point is (-105,y) and the other is (-97,2). Computing the distance between them:
[tex]d=\sqrt{(-97-(-105))^2+(2-y)^2}=\sqrt{8^2+(2-y)^2}=\sqrt{64+(2-y)^2}[/tex]
This distance is 17, thus:
[tex]\sqrt{64+(2-y)^2}=17[/tex]
Squaring on both sides:
[tex]64+(2-y)^2=289[/tex]
Operating:
[tex](2-y)^2=289-64=225[/tex]
Taking the square root:
[tex](2-y)=\pm 15[/tex]
There are two possible solutions:
[tex]2-y=15\Rightarrow y=-13[/tex]
[tex]2-y=-15\Rightarrow y=17[/tex]
The points that are 17 units from P(-97,2) are:
(-105,-13) and (-105,17)
Which is a correct two-column proof?
Given: ∠h and ∠c are supplementary.
Prove: j || l
Answer:
Third option is the correct answer.
Step-by-step explanation:
Third option is the correct answer.
Please do all problems for brainlest!
Answer:
1) GCF(12,32) = 4
2) lcm(12, 32) = 96
3) GCF 6,12,21 = 3
4) LCm 6,12,21 = 84
Answer:
1) 4
2) 96
3) 3
4) 36
What is the solution for -2x + 7 = 7
Answer:
X = 0
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
−2x+7−7=7−7
−2x=0
Step 2: Divide both sides by -2.
−2x
−2
=
0
−2
x=0
Hope this helps!
Find the distance between GH
Answer:
4.2 cm
Step-by-step explanation:
The red mark between each points in the line segment shows that FG, GH, HJ, and JK are all equal in proportion. Since all 4 segments are of equal distance, the distance of any of the segments would be: [tex] \frac{16.8}{4} = 4.2 [/tex].
Therefore, distance between GH is 4.2 cm.
(5x3 - 8x? – X – 4) = (x-2)
Answer: x= 1.4 Hope this helps with your assignment.
Which situation can be represented by this inequality?
200≤20w+50
A. Rylee has 20 stickers in her collection. She will add 50 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at most 200 stickers?
B. Rylee has 50 stickers in her collection. She will add 20 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at most 200 stickers?
C. Rylee has 50 stickers in her collection. She will add 20 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
D. Rylee has 20 stickers in her collection. She will add 50 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
Answer:
D. Rylee has 20 stickers in her collection. She will add 50 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
Step-by-step explanation:
Sorry if this is bad.
w = weeks. So 50 stickers plus 20 times the amount of WEEKS (w) = AT LEAST (≤) 200. hope this helped. :)
Answer:
C. Rylee has 50 stickers in her collection. She will add 20 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
Step-by-step explanation:
Why is the equation for Newton's Law of Gravitation negative?
a. The negative sign indicates the force is made by mass
b. The negative sign cancels out the negative sign of the gravitational constant
c. The negative sign indicates the strength of the force
d. The negative sign indicates that the force is always attractive (THIS ANSWER IS CORRECT)
Answer:
gravitational force of attraction between two positive mask or two negative mass and repulsive between one negative into positive minus negative sign only appears when the force is acting in the opposite direction when considered the direction.
Answer:
D) The negative sign indicated the force is always attractive
What are rational numbers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Step-by-step explanation:
Can anyone help me???
Answer:
Maybe option B. 8^8
I am not sure though..
Answer:
the answer should be B
Step-by-step explanation:
Natalia has a savings account at a bank that charges $12 fee for every
month her balance falls below $1,000. Her balance is $1,327.42 when she
withdraws $350. After the transaction, what is her balance? *
A. $965.42
B. $977.42
C. $638.00
D. $1,677.42
Answer:
$1,677.42
Step-by-step explanation:
bye
There are 5 customers currently present in a coffee shop. Three of the customers are waiting in line at the front register. How
many different lines of customers are possible?
6
10
60
120
Answer:
60
Step-by-step explanation:
Edge
Answer:
C.
Step-by-step explanation:
60
find the value of x.
Answer:
23
Step-by-step explanation:
3x + 18 + 93 = 180
3x + 111 = 180
3x = 69
x = 23
ABCD IS A SQUARE WITH LENGTHS OF 35 INCHES GIVEN THAT AG=14 AND FG=24 WHAT IS THE LENGTH OF EG
Answer:
EG = 16
Step-by-step explanation:
Given: all sides have length 35 inches.
AG + GD = AD
14 + GD = 35
GD = 21
Angles A and D are right angles and are congruent.
Angles AEG and DFG are marked congruent in the figure.
By AA Similarity, triangles EAG and FDG are similar.
The lengths of corresponding sides of similar triangles are proportional.
EG/AG = FG/GD
EG/14 = 24/21
EG/14 = 8/7
7(EG) = 14(8)
EG = 2 * 8
EG = 16
g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standard deviation of 2.4 inches. Amy is 7 years old, and her height is 1.34 standard deviations above the mean. Her friend Sophia is also 7 years old and is at the 94th percentile of the height distribution. a. At what percentile is Amy's height? Draw and label the Normal model that corresponds to this situation. b. How does her height compare to Sophia's? c. What percent of 7-year-old girls would you expect to be taller than 49.4 inches? Draw and label the Normal model that corresponds to this situation. d. Below what height are the shortest 30% of 7-year-old girls? Draw and label the Normal model that corresponds to this situation.
Answer:
a) 90th percentile
b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92
c) 0.2394
d) 46.44 inches
Step-by-step explanation:
mean value( u ) = 47.7 inches
std ( σ )= 2.4 inches
Amy height = 1.34 std above mean value
Sophia height = 94th percentile of height distribution
A ) what percentile is Amy's height
To Calculate the percentile of Amy's height
P( X ≤ 50.916 ) = P( (X-µ)/σ ) ≤ (50.916-47.7) /2.4)
=P(Z ≤ 1.340 ) = 0.9099 = 90th percentile
B) How Amy's height compare to Sophia's
The proportion given based on Sophia's height = 0.94
z -value at the proportion ( 0.94 ) = 1.55 ( from excel )
note z-value can be calculated using = ( x - µ ) / σ
therefore: X (Sophia's height ) = zσ + µ= (1.55 * 2.4) + 47.7
X = 51.43 ( Sophia's height ) , Amy's height = 50.92
C) percentage expected to be taller than 49.4 inches
P ( X ≥ 49.40 ) = P( (X-µ)/σ) ≥ (49.4-47.7) / 2.4)
= P(Z ≥ 0.708 )
= P( Z < -0.708 )
= 0.2394
D) Below what height are the shortest 30% of 7-year old girls
( u ) = 47.7 inches
std ( σ )= 2.4 inches
given proportion = 30% = 0.3
The z value at 0.3 = -0.52 ( from excel )
to calculate for X ( height ) we have to apply the formula used to determine z value
z= (x-µ) /σ
hence : X = (Z * σ) + u = (-0.52 * 2.4 ) + 47.7
X = 46.44
below 46.44 inches lies about 30% of 7 year old girls height
Gail pays 0.04 sales tax on each dollar she spends. If she buys a new bike for 137.32 how much sales tax will she pays ?
Answer:
$5.49
Step-by-step explanation:
Basically we can take the price of the bike, 137.32, and multiply by the tax, 0.04, to get 137.32*0.04 and we are left with 5.4928 and we round to 5.49.
Answer:
Gail's sales tax amount is $5.49
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?
A) Choose the equation to match the situation.
A. (0.20)(10) = 0.05x + 0.40x
B. (0.20)(10) = 0.05x + 0.40(10 – x)
C. (0.20)(10) = 0.05(10) + 0.40(10 – x)
D. (0.20)(10) = 0.05(10 – x) + 0.40(10 – x)
B) Solution
??? liters of 5%
??? liters of 40%
What’s the explicit rule for the sequence 9,14,24,...
Answer:
f(n) = 5n(n -1)/2 +9
Step-by-step explanation:
The rule will depend on what kind of sequence you think this is. An infinite number of rules can be dreamed up that will give these three values.
The simplest polynomial rule is one of 2nd degree. We know this because the first differences are 14-9 = 5 and 24-14 = 10, so are not constant. Only three values are given, so only a polynomial of degree 3-1=2 can be specified by these points.
If we say the polynomial is ...
f(n) = an^2 +bn +c
Then the three given points give rise to three equations:
9 = a + b + c
14 = 4a +2b +c
24 = 9a +3b +c
Solving these by your favorite method gives ...
a = 5/2, b = -5/2, c = 9
So an explicit polynomial rule can be written as ...
f(n) = 5n(n -1)/2 +9
_____
Additional comment
A sequence such as this one can also be described by an exponential rule. Here's one that describes these points:
f(n) = 5·2^(n-1) +4
The fact that the first differences (5, 10) are related by a factor of 2 suggests 2 as the base of the exponent.
HELP!!!!!!! MATH QUESTION FOR 40) POINTS!!!!!!
Abe is buying wrapping paper.
He is shopping for the best deal.
Drag the rolls of wrapping paper in order from the least to the greatest unit cost in dollars per square foot. (Just put from least to greatest)
Red: 12.5 square feet for $1.79
Blue: 40 square feet for $5.29
Green: 50 square feet for $8.49
Orange: 60 square feet for $6.00
Answer:
1)Green
2)Red
3)Blue
4)Orange
Which expression is equivalent to (7-8)(73)?
Answer:
The answer would be -73
Answer: 7^-5
Step-by-step explanation: I did it
l(x) = 2|3 – 2x| +6; find l(5)
Answer:
5 = a whole big mac right so if you get a triple big mac divide the big mac to the other one
Step-by-step explanation:
Please Help! :)
Instructions: Using the following image, complete the statements below.
Step-by-step explanation:
1. DEC
2. BEC
3. 180°
4. 180°
hope this helps
A circle is centered at the origin (0,0) and has a radius of 4 units. Which points on the circle have an x-coordinate of 1? (Your answer should be a list of points, such as "(1,1), (2,4)".)
Answer: (1, √15) and (1, -√15)
Step-by-step explanation:
A circle centered at the point (a, b) of radius R can be written as:
(x - a)^2 + (y - b)^2 = R^2
In this case we have:
"A circle is centered at the origin (0,0) and has a radius of 4 units"
Then the equation for this circle is:
x^2 + y^2 = 4^2 = 16.
Now, we want to find the points where x = 1, then we can replace that value and solve the equation for y.
1^2 + y^2 = 16
1 + y^2 = 16
y^2 = 16 - 1 = 15
y = +-√15
Then the two points that have the x-coordinate equal to 1 are:
(1, √15) and (1, -√15)
The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
The equation of a circle usually takes the form;
(x-a)² + (y-b)² = r²where a and b are x- and y- coordinates of the center of the circle.
In this scenario, the center is at the origin (0,0).
In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;
(1-0)² + (y - 0)² = 4²1 + y² = 16.y² = 15y = ±√15.The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
Read more;
https://brainly.com/question/16646649
3) An old pump can fill a swimming pool in 9
hours. If a new pump was being used with the old
pump they could fill the pool in 3 hours. How
long would it take to fill the pool with just the new
pump?
clear
worl
long
5.
r
Answer:
6 hours
Step-by-step explanation:
old = 9
old + new = 3
3 - new = old
3 - new = 9
9 - 3 = new
new = 6
[Will Mark Brainiest Answer]
What is (4.81*10^16)(1.1*10^-4)
Answer:
5.291e+12
Step-by-step explanation:
Step-by-step explanation:
5.291e+12 would be your answer my guy
10q - 20 is equivalent to _____.
Answer: 10q-20
10(q-2)
factor out 10 as it is a common factor
Step-by-step explanation: this did not help please comment to contact please
Need help please and thank u
Answer:
Step-by-step explanation:
I am stuck on the same thing, but A is probably the number of songs increse when lenght of cd increses.
What represents 5. X=15
Answer:
X=3
Step-by-step explanation:
5x3=15
A local business does $1200 in sales on Monday and $1400 dollars in sales on Tuesday. Which of the following a correct sentence to describe the ratio of Monday to Tuesday?
Answer: The amount of money that he made on Monday is 0.86 times the amount of money that he made on Tuesday
Step-by-step explanation:
We know:
Monday = $1200
Tuesday = $1400
Now we want to know the ratio of Monday to Tuesday, that is a relation that directly relates both quantities, we can calculate it as:
Ratio from Monday to Tuesday = Monday/Tuesday = $1200/$1400 = 0.86
Then the amount of money that he made on Monday is 0.86 times the amount of money that he made on Tuesday
Giving 100 PONITS and i MARK BRAINLIEST the question is in the picture provided!
Answer:
a
Step-by-step explanation:
pi r 2
459.96 / 4
22.5 times 11.5
add up
Answer:
I think the answer is A
Step-by-step explanation:
I am so so so sorry if I am wrong!!
simplify by combining like terms
Answer:
31b2 subtract 16b2
Step-by-step explanation:
Add and then subtract the numbers
