Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
what is the slope of the line
Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.
Answer:
35 members
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is 7 : 10
From the above ratio
Number of junior member = 7
Number of senior members = 10
There are 18 more senior members than junior members.
S = 18 + j
10 + 18 = 28 senior members
Hence,
Total number of members = 28 senior members + 7 junior members
= 35 members
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.
Answer: the answer is 20.
Carmen leaned a 13-foot ladder against a wall. If the base of the ladder is 4 feet from
the bottom of the wall, approximately how far up the wall does the ladder reach?
Answer:
13+4=17
Step-by-step explanation:
The required ladder reaches approximately 12.37 feet up the wall.
What is the Pythagorean theorem?The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In algebraic terms, the Pythagorean theorem can be written as:
a² + b² = c²
where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.
Here,
We can use the Pythagorean theorem to solve this problem. Let's denote the distance from the bottom of the wall to where the ladder reaches the wall as h. Then we have,
h² + 4² = 13²
h² + 16 = 169
h² = 153
h ≈ 12.37
Therefore, the ladder reaches approximately 12.37 feet up the wall.
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A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetry of this function?
Answer:
x = - 1
Step-by-step explanation:
The axis of symmetry is a vertical line located at the midpoint of the zeros.
Equation is then
x = [tex]\frac{-5+3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , that is x = - 1
You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined
Answer:
A. the $5 off coupon
Step-by-step explanation:
10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more
The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.
Which coupon should I use?Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.
Coupon 1 : 10% x 29.9 = $3
Coupon 2 : 29.90 - $5 = $24.90
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given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer
What is the value of log4 2?
Answer:
1/2
Step-by-step explanation:
type it into the calculator
The value of logarithm log base 4(2 is 1/2.
What is Logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Rewrite as an equation.
log base 4(2)=x
and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b are positive real then
log (base b) x= y equivalent to [tex]b^y[/tex] = x
Create expressions in the equation that all have equal bases.
log base 4(2)=x
[tex](2^2)^x[/tex] = 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x = 1
x= 1/2.
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Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side.
Answer:
I would say use photomath if you cant find your answer.
Step-by-step explanation:
A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?
Answer:
2
Step-by-step explanation:
Count the spins
A quadrilateral in the coordinate plane has vertices (3, 2), (3,-4), (5,4), and (5,-2). What is the area, in square units, of the quadrilateral?
Answer:
4 square units
Step-by-step explanation:
the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4.
HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
Solve m+18+23=71
PLZZZZZ I NEED THE ANSER PLZZZ
Answer:
m + 18 + 23 = 71
m + 41 = 71
m = 71 - 41
m = 30
Answer:
30
Step-by-step explanation:
m+18+23=71
m+41=71
m=71-41
m=30
Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.
Answer:
2560 J
Step-by-step explanation:
mv^2/2
80(8)^2/2
2560 J
name the following polynomial expression.
[tex] {4x}^{2} + x - 3 [/tex]
Answer:
Step-by-step explanation:
It has 3 terms so it is a trinomial.
It can also be called a quadratic.
Answer:
a trinomial.
If that is what ur asking for
Step-by-step explanation:
Which expression is equivalent to 0.06h +h+0.85h?
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500Consider the following graph, which details the population of a city over time. A line graph titled Population (thousands) has year on the x-axis and number on the y-axis. The points are connected by a line that gradually increases. What aspect of the graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the sharp differences between individual data points b. the disjoint nature of the data collected c. the strong distinction between each year’s data d. the extended, continual growth of the population
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020/21
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
Solve for x.round to the nearest tenth. 70,6
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
What is
as a percent?
20%
35%
6%
60%
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)
Answer:
-77·√30
Step-by-step explanation:
(-7)·√3·11·√10 = (-77)·√3·10 = -77·√30
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
PLEASEEEE HELPPPPP ME !! :)
Answer:
ok ok, i think it's the last one
Step-by-step explanation:
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answer:
20400
Step-by-step explanation:
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th
Answer:
618.2203≈618.22
Step-by-step explanation:
618.2203≈618.22
common multiples for 30 21 and 24
Answer:
The common multiple for 30 21 and 24 is 3
Step-by-step explanation:
30 = 3 × 10
21 = 3 × 7
24 = 3 × 8
Thus, 3 is the common multiple for 30 21 and 24.
-TheUnknownScientist