Note: this answer assumes that the equation of the line must be in slope-intercept form.
Answer:
[tex]y= -3x + 5[/tex]
Explanation:
When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.
The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of
[tex]y-(-1) = -3(x-(2))[/tex]
[tex]y+1 = -3(x-2)[/tex]
Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:
[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]
Therefore, [tex]y= -3x + 5[/tex] is the answer.
math Finding the root (30points!!!!!)
Answer:
p = [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
let the root be α then the other root is 3α
The sum of the roots of a quadratic equation is
α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]
Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )
α = [tex]\frac{2}{7}[/tex]
The product of the roots of a quadratic equation are
α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is
3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α
3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]
3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]
[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )
49p = 84 ( divide both sides by 49 )
p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]
ok so this is fraction what is 5/6 x 3/4
Answer:
5/8
Step-by-step explanation:
benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?
Answer:
yes because 1 divided by 2 is 0.5 which can be converted to 50%
Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
5√3x^2+4
Answer:
The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].
Step-by-step explanation:
Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:
[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)
Where:
[tex]c_{i}[/tex] - i-th Coefficient.
[tex]x^{i}[/tex] - i-th Power.
[tex]n[/tex] - Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:
[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]
Then, the set of coefficients asociated with the given polynomial in ascending order is:
[tex][C] = \{4,0,5\sqrt{3}\}[/tex]
given each pair of similar triangles find the missing value. of LJK=PQR find x
Answer:
1
Step-by-step explanation:
Miya is selling grapefruit and nuts for a fundraiser. The grapefruits cost 5 dollars each and a bag of nuts cost 15 dollars each. She sells 30 items and made 250 dollars. How many grapefruits did she sell?
Answer:
A) 5G + 15N = 250
B) G + N = 30 We'll multiply B) by -5
B) -5G -5N = -150 then we add A)
A) 5G + 15N = 250
10N = 100
N = 10 bags of nuts ($150.00)
We put N=10 into A)
A) 5G + 150 = 250
A) 5G = 100
G = 20 Grapefruits ($100.00)
Step-by-step explanation:
Help please please ugufidhdjdift
FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!
Answer:
We know that the figure has a symmetry
angle 1 = angle 2
angle 1 =180°-(18°+90°) = 180° - 108°=72°
Therefore, angle 2 =72°.
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Can someone please explain how to do number 9.
Answer:
x<15, probably
Step-by-step explanation:
maybe multiply 2 to each side to eliminate the fraction. so 3x+15<60. subtract 15 to isolate the variable term so 3x<45. divide by 3 to isolate x so x<15. check the work. is the inequality true for all values of x less than 15? let's try the first possible integer value, 14, to be sure. 3(14)+15= 57. so 57/2<30. now 57/2 is 28.5 and 28.5<30 so it seems right
the equation of a circle whose center is (-5, 3) and whose radius is 6?
Answer:
Center:(-5,3)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:6
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:12
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775
The circumference of a circle is the distance around it.
Area:113.097335529233
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?
Answer:
Walmart has the better deal.
Step-by-step explanation:
If you divide the amount of money and the packs they sell, Walmart is cheaper.
Walmart: 20/4 = 5
Kroger: 18/3 = 6
Answer:
It is Walmart 4 packs for 20$
Step-by-step explanation:
The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3
Which of the following is the best estimate of the volume of
this water tank?
Melissa runs a mile in 8 minutes 30 seconds. At this rate, how many full miles will she run in 45
minutes?
Answer:
Time measure: 8 miles = 30 seconds We are given 45 minutes × 60 seconds /30= 90 milessolve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation
Answer:
The first step is to slove the numbers in the brackets
Step-by-step explanation:
[(x+7) x -2] / 4 = 7
-2(x+7) / 4 = 7
-2x-14 / 4 = 7
-2x-14 = 28
-2x = 42
x = -21
PEMDAS
Solve ASAP. Giving 28 points.
Answer:
where is the question
Step-by-step explanation:
Answer:
what's the question I can't see it
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?
Answer:
D
Step-by-step explanation:
Solve number 8 (geometry)
Answer:
x = 50
Step-by-step explanation:
the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)
so that means
[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]
Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.
Answer:
4
Step-by-step explanation:
This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.
The graph is not drawn to scale.
The distance between the line and the point is 4 units.
What is Distance formula?The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given: line: y= 3x-9
put y= 3
3 = 3x-9
12 = 3x
x= 4
and, the other point is (0, 3).
Now, the distance between theses points
D= √(4-0)² + (3 -)²
D= √4²
D= √16
D= 4 units
Hence, the distance is 4 units.
Learn more about Distance formula here:
https://brainly.com/question/1872885
#SPJ2
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
Answer:
$21.15
Step-by-step explanation:
6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90
15/5 = 3 then 3 x 4.75= 14.25
14.25 + 6.90 = 21.15
Hope this helped <3
Answer:
$21.15
Step-by-step explanation:
Total Folder Amount: $1.15 • 6 = $6.90
Total Pen Amount: $4.75 • 3* = $14.25
*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*
$14.25 + $6.90 = $21.15
A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) =800/1+ 3e^-0.29t.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.
Answer:
The initial population is 200
The population after 10 years is 687
Step-by-step explanation:
Given
[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]
Solving (a): The initial population
Here:
[tex]t = 0[/tex]
Substitute 0 for t in P(t)
[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3*1}[/tex]
[tex]P(0) =\frac{800}{1+ 3}[/tex]
[tex]P(0) =\frac{800}{4}[/tex]
[tex]P(0) =200[/tex]
The initial population is 200
Solving (b): Population after 10 years.
Here
[tex]t = 10[/tex]
Substitute 10 for t in P(t)
[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]
[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]
[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]
[tex]P(10) =\frac{800}{1+ 0.165}[/tex]
[tex]P(10) =\frac{800}{1.165}[/tex]
[tex]P(10) =687[/tex] -- approximated.
The population after 10 years is 687
Which statement describes why AABC and ADEF are congruent by SAS?
Answer:It is The first one.
Step-by-step explanation:
Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
16x - 4y - 12
m
b
Blank 1
Blank 2:
Answer
y=4x-3
m=4 or 4/1
b=-3
HELP PLEASE ASAP!!!!!
Answer:
1 1/2 cups of flour :))
Step-by-step explanation:
Answer:
2 5/8 cups ur welcome
you convert 1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.
Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft
Answer:
It would be 45 gallons for 6ft
15 gallons for 2 feet
Step-by-step explanation:
An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.
After how many seconds does he reach the water?
What domain makes sense for this scenario?
Answer:
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
102.7 meter.
Step-by-step explanation:
HELP PLEASE...........
Answer:
1. 9
2. 12
3. 26
Step-by-step explanation:
Answer:
1. 9
2. 12
3. 26
Step-by-step explanation:
An easy way to solve problems like this is to convert the percentage into a decimal, then multiply that decimal by the whole. For example, if I had the question "What is 10% of 100?", I would first convert the 10% to a decimal. 10% is the same as 10/100, which in decimal form is 0.1. I would then multiply 0.1 by 100 to find out how much 10% of 100 is. I get 10, so my answer is 10. Hope this helps!
Will mark brainliest!!!solve for each variable
What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
Use the coordinates of the points to determine the slope
slope = Δy/Δx = (8-7)/(5-4) = 1
QUESTIONS: SOLVE FOR X
please help if you can !
please don't comment just to comment if its not gonna help me i really need help.
