A line passes through the points (P, a) and (P, –a) where P and A are real numbers and P does not equal 0. Describe each of the following. Explain your reasoning.
1. slope of the line
2. equation of the line
3. y-intercept
4. slope of a line perpendicular to the given line
9514 1404 393
Answer:
undefinedx = Pdoes not exist0Step-by-step explanation:
2. The x-value of the given points is the same, so the points both lie on the vertical line ...
x = P
__
1. The slope of a vertical line is "undefined".
__
3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.
__
4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.
find the value of the x intercept -x+y=-5
Answer:
x=-5=(5,0)
Step-by-step explanation:
Answer:
X-intercept is five. The point is (5,0)
Step-by-step explanation:
X-intercept is when the line crosses the x-axis, ie when y is o. Sub zero in for y.
-x+y=-5
-x+0=-5
-x=-5
x=5
What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19
Answer:
The answer is D
Step-by-step explanation:
How many halves are in 8/10
Answer:
1 half with 3/10 left over.
Step-by-step explanation:
1/2 is also 5/10, so that means that there is one 5/10 is 8/10, with 3/10 left over
find three consecutive numbers whose sum is 84
Answer:
three consecutive numbers that add up to 84 are 27,28 and 29
Step-by-step explanation:
27+28=55
55+29-=84
Find the greatest common factor of 84 and 36, showing how you got your answer. Then, using complete sentences, explain what your answer means.
The greatest common factor of 84 and 36 will be 2 × 2 × 3 that is 12.
What is the greatest common factor?The term that is common in the given terms.
The terms are given below.
84 and 36
The factor of the 84 will be
84 = 2 × 2 × 3 × 7
The factor of the 36 will be
36 = 2 × 2 × 3 × 3
Then the greatest common factor of 84 and 36 will be 2 × 2 × 3 that is 12.
More about the greatest common factor link is given below.
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the difference of 7 and the reciprocal of y in a mathematical phrase
Answer:
kljnm
Step-by-step explanation:
ok
this and you get an A
Emma borrowed $89.40 from her sister. She determines that she can pay her back the total over six months. Which number reflects the monthly change in her balance?
Answer:
$14.9
Step-by-step explanation:
Step one:
given data
we are told that Emma borrowed $89.40 from her sister to pay her back in 6 months.
let us solve for the amount she is to pay her sister every month.
amount to be paid per month= 89.40/6
=$14.9
So that every month she pays back her sister $14.9
we don't know her balance but every month there will be a deduction.
Hence the monthly change in her balance is reflected by a deduction of $14.9
SHOW YOUR WORK
20x4.17
Answer:
83.40
Step-by-step explanation
_______________2 0________
× 4 1 7
________________________
+ 1 4 0
+ 2 0
+ 8 0
___________________________
= 8 3. 4 0
There are 48 members of the swim team. The ratio of boys to girls is 3:5. How many girls are on the swim tearn? Explain how you found your answer.
Answer:
There are 30 girls
Step-by-step explanation:
The ratio is 3:5 so (3)*(6)= 18 boys , and (5)*(6)=30
30+18=48 members
There were 30 girls in swim team.
We have,
Total Members = 48
Ratio of Boys to Girls= 3:5
So, the number of boys are
= 3/8 x 48
= 3 x 6
= 18
and, the number of girls
= 5/8 x 48
= 5 x 6
= 30
Thus, 30 girls were in swim team.
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The formula for the volume of a cylinder is V = gran.
Solve V = 872) for h, the height of the cylinder.
O A. =
nar
B. n =
O c. h =
Vr2
O D. h=
372
Answer:
B . n
Step-by-step explanation:
Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
a straight line
a circle
a right angle
an obtuse angle
I NEED HELP ASAP
Answer:
straight line
Step-by-step explanation:
i did it
What is the solution set of -11 > 1 + a?
Answer:
Step-by-step explanation:
- 11 > 1 + a
- 11 - 1 > a
a < - 12
a ∈ ( - ∞ , - 12 )
the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of the line what is the effect to the line
can someone help me with thiss?
Answer:
Step-by-step explanation:
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
(4x+9)/(7/3)= 3x/0.5
Answer:
x=0.9
Step-by-step explanation:
4x+9
7
3
=
3x
0.5
Step 1: Cross-multiply.
4x+9
7
3
=
3x
0.5
(4x+9)*(0.5)=3x*(
7
3
)
2x+4.5=7x
Step 2: Subtract 7x from both sides.
2x+4.5−7x=7x−7x
−5x+4.5=0
Step 3: Subtract 4.5 from both sides.
−5x+4.5−4.5=0−4.5
−5x=−4.5
Step 4: Divide both sides by -5.
−5x
−5
=
−4.5
−5
x=0.9
Answer:
x=0.9
A bottle contains 3/4 gallon of fruit punch. If 6 people share the fruit punch equally, how much fruit punch does each person get ?
Answer:
each person should get 0.125 of the gallon
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
What do you call the pairs of roots of quadratic
equation with complex solutions?
Math
A test has 20 questions and is worth 100 points. The unit rate is Points per question?
Answer:
15
Step-by-step explanation:
Answer:
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what is the answer?
Find the gradient of the line segment between the points (0,6) and (2,16)
Answer:
Step-by-step explanation:
(16-6)/(2-0) = 10/2 =5
marking brainliest for best answer and extra points
Answer:
B
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? 27° 36° 54° 72°
Answer:72
Step-by-step explanation:
Answer:
The answer is D) 72
Step-by-step explanation:
I got the questions right on edge 2020. good luck everyone. please rate the question.
Describe the angle as it relates to the digram
;) :)
Answer:
Step-by-step explanation:
∠4 is angle of elevation from ∠C to ∠D
Please answer this..........
Answer:
The answer would be 126
Step-by-step explanation:
you add 28+35 which is 63, then you multiply by 8 which is 504 and you multiply by 1/4 which is 126 :)
Skyler is buying wings and quesadillas for a party. A package of wings costs $8.00. A package of quesadillas cost $10.00. He must spend no more than $160.00. Skyler's freezer will hold a maximum of 20 packages of wings and quesadillas. Write a system of linear inequalities to represent the situation.
Answer:
The system of inequalities are;
q + w ≤ 20
8w + 10q ≤ 160
Step-by-step explanation:
Let the number of wigs be w and the number of quesadillas be q
Since we have a maximum of 20 packages;
then;
q + w ≤ 20
Let’s now work with the prices
price of w wings is 8 * w =$8w
price of q quesadillas is 10 * q = 10q
The maximum amount to spend is $160
Thus, the addition will be;
8w + 10q ≤ 160
Which pair of functions are inverse functions
Answer:
3rd one is inverse functions
Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.
Given :
Liam has a bag of b beads.
He gives 20 beads to his sister.
He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.
To Find :
Write an expression that represents the number of beads on each necklace.
Solution :
Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).
Number of beads on each necklace using all of the remaining beads is :
[tex]N=\dfrac{b-20}{4}[/tex]
Hence, this is the required solution.
PLEASEE HELP I WILL BRAINLISTT Question 2: Given the function defined by y = x^2, which of the following is its average rate of change from x = 2 to x = 10? *
A.5/2
B.2
C.8/3
D.12
12 is its average rate of change from x = 2 to x = 10.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given the function defined by y = x^2
now,
its average rate of change from x = 2 to x = 10,=
=10^2-2^2/10-2
=100-4/8
96/8
=12
Hence, 12 is its average rate of change from x = 2 to x = 10.
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