[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
For what values of x: Is the binomial 7x+1 equal to the trinomial 3x2−2x+1?
Answer:
x = 0 , x = 3
Step-by-step explanation:
Equate the 2 expressions and solve for x
3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )
3x² - 9x = 0 ← factor out 3x from each term
3x(x - 3) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.
Answer:
y = x+4
Step-by-step explanation:
First, we find the slope
m = (y2-y1)/(x2-x1)
m = ( 9-7)/(5-3)
= 2/2
=1
Slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Using one of the points
7 = 1*3+b
7 = 3+b
4=b
y = x+4
What is the area of this figure?
Answer:
84mm
Step-by-step explanation:
square = LxW = 6x6 =36
triangle = bxh/2 = 6x8/2 =24
add together 24x2+36=84
In a recent year, 21% of all college students were enrolled part-time. If 7.6 million college students were enrolled part-time that year, what was the total number of college students?
Answer:
36.19047619 million
or 36,190,476 students
Step-by-step explanation:
7.6 million / all students = 21% / 100%
7.6 * 100 / 21 = 36.19047619
36.19047619 million
or 36,190,476 students
solve the following equation
Answer:
x=1 x=-11
Step-by-step explanation:
first you need to find what two numbers add together to make 10x and multiply together to make 25-
this would be 5
so we can rewrite it as (x+5)(x+5) = 36
which is the same thing as (x+5)^2 =36
then taking the root of both sides we get (x+5)= plus or minus 6
so x=-11 or x equals 1
Are these lines parallel explain?
The number of blogs has grown rapidly. Assuming that two new blogs are created each second,
how many blogs will be set up in one month (30 days)?
O 5.27 x 105
O 6.17 x 105
O 5.27 x 106
O 6.17 x 106
What is the perimeter of triangle ABC with coordinates of A(3,4), B(3,11), C(27,4)
Answer:
Is there supposed to be a picture or no?
Step-by-step explanation:
What is the intersection of plane AEH and plane EGH?
Answer:
E
Step-by-step explanation:
Hope this helped
Daniel purchased a 1 year CD, c, from a bank. He bought it at an annual interest rate of 6%. After 1 year, Daniel cashes in the CD. What is the total amount it it worth?
Step-by-step explanation:
if I understand correctly, then he bought a CD with a balance of c and an annual interest rate of 6%.
now, after this one year the CD is worth (the account balance is) c + 6% = 100% + 6% = 106% = 1.06×c
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
5 1/28=1/2p+5 4/7
Please help!!
Answer:
p = (-15)/14
Step-by-step explanation:
Solve for p:
5 + 1/28 = p/2 + 4/7 + 5
Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:
((28×5)/28 + 1/28) = p/2 + 4/7 + 5
28×5 = 140:
140/28 + 1/28 = p/2 + 4/7 + 5
140/28 + 1/28 = (140 + 1)/28:
((140 + 1)/28) = p/2 + 4/7 + 5
140 + 1 = 141:
141/28 = p/2 + 4/7 + 5
Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:
141/28 = ((7 p)/14 + 8/14 + 70/14)
(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:
141/28 = ((7 p + 8 + 70)/14)
Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):
141/28 = (7 p + (70 + 8))/14
70 + 8 = 78:
141/28 = (7 p + 78)/14
141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:
(7 p + 78)/14 = 141/28
Multiply both sides of (7 p + 78)/14 = 141/28 by 14:
(14 (7 p + 78))/14 = (14×141)/28
(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:
(7 p + 78) = (14×141)/28
14/28 = 14/(14×2) = 1/2:
7 p + 78 = 141/2
Subtract 78 from both sides:
7 p + (78 - 78) = 141/2 - 78
78 - 78 = 0:
7 p = 141/2 - 78
Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:
7 p = (141/2 - (78×2)/2)
2 (-78) = -156:
7 p = 141/2 + (-156)/2
141/2 - 156/2 = (141 - 156)/2:
7 p = ((141 - 156)/2)
141 - 156 = -15:
7 p = (-15)/2
Divide both sides by 7:
p = ((-15)/7)/2
2×7 = 14:
Answer: p = (-15)/14
PLEASE HELP GIVING POINTS
Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.
Step-by-step explanation:
To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].
This means to rise up ___ amount of numbers and run __ amount of numbers.
Rise is moving along y, and x is moving along x.
-Additional info:
positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)-------------
#TeamTrees #TeamSeas #PAW #Spread_Positivity
I hope this helps,
-Oceanbreeze24
1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?
Answer:
Step-by-step explanation:
1 meter = 39.3701, by definition.
3 meters = 3*(39.3701)
3 meters of wire = 118 inches
Answer:
3 meters ≈ 118 inches
Step-by-step explanation:
1 meter = 3.28084 feet
1 foot = 12 inches
3 · 3.28084 = 9.84252
9.84252 · 12 = 118.11024
what number is the square root of 13 between
A 2 and 3
B 5 and 6
C 4 and 5
D 3 and 4
Answer:
D
Step-by-step explanation:
3:
12
4:
16
Therefore 13 is in between 12 and 16
ASAP HELPPPPPPPPP PLEASE!!!!
Answer:
1. y=3/5x +1
2. x = -3
3. y = 4
4. y = -1/3x + 4
5. y=5x + 4
6. y= 3/4 x + 1
7. y = 9/4x - 1/2
8. y = 5/3x
9. y = -5x +5
10. y = 2x - 5
11. y = -4x - 4
12. y = 1/4x - 4
Step-by-step explanation:
math lol
A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
324
Step-by-step explanation:
A drawing of a man is 4 inches high. The actual man is 64
inches tall. What is the scale factor for the drawing?
Answer:
Step-by-step explanation:
The scale factor is the ratio between the man's actual height and the height of the drawing.
Scale = 64/4 = 16
Answer:
1/16
Step-by-step explanation:
the actual man is 16 times bigger than drawing.
The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe goal is to find the length of CE based on these facts
BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DENotice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.
3х + 9 = 2х + 5
is it no solutions, all real numbers, or does x equal something?
Answer:
x = -4Step-by-step explanation:
Given Equation:3x + 9 = 2x + 5Question:Whether x has one solution or infinite solutions or no solutions?Solution:=> 3x + 9 = 2x + 5
(On shifting like terms to one side we get)=> 3x - 2x = 5 - 9
(On subtracting)=> x = - 4
Result:Hence, x has only one solution that is, x = -4 (Ans)
Topic : Linear equations in one variable
Given :
3х + 9 = 2х + 5Solution :
[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]
Transposing variables on one side and constant terms on the other side, we get :
[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]
Hence, the x is equal to something which is (– 4)5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180
Answer:
C
Step-by-step explanation:
The probability of getting heads or tails is 50%.
300*50% = 150
Answer:
C. 150 times
Step-by-step explanation:
Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150
F(x) = the integral from 0 to x cos(t^2)dt. Use your calculator to find F’(1)
By the fundamental theorem of calculus,
[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]
and so F'(1) = cos(1).
my Christmas present to you
Answer:
Is this a points post or something? If so, thank you!
The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.
True or false
True-... i think because like i am not sure-
A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange
Answer:
6/91
Step-by-step explanation:
Total number of fruits = 4 + 2 + 3 + 5 = 14
Apple: 4/14
One of the fruits have been taken from the total. 14 thus becomes 13.
There are 3 oranges
Orange: 3/13
Combine probability: 4/14 * 3/13 = 12/182 = 6/91
Two is a common factor in both 12 and 182
pls help me with this:((
Answer:
9. A. One - to - One Correspondence
10. D. None of the above
9.) one to one correspondence
10.)one to many correspondence
Step-by-step explanation:
in 9 it shows that 1-4 are connected to different number
in 10 it shows that a is connected to 2 different numbers
A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.
Linear functions are used to represented straight lines.
The linear function is [tex]y = -\frac 12x + 1[/tex]
The points on the graph are: (2,0) and (0,1)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{1 - 0}{ 0 -2}[/tex]
[tex]m = \frac{1 }{ -2}[/tex]
Rewrite as:
[tex]m = -\frac{1 }{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac 12(x -0) + 1[/tex]
[tex]y = -\frac 12(x) + 1[/tex]
Open bracket
[tex]y = -\frac 12x + 1[/tex]
Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
300 milliliters per 'minute = ?
liters per hour
Answer:
300 millilters per min = 18 liters per hour
Step-by-step explanation:
Eight squared plus B squared equals 14 squared
[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
10
Step-by-step explanation:
Equation=5*2^3/2^2