Answer:
[tex]y = 8x -67[/tex]
Step-by-step explanation:
Given
(9,5) and (8,-3)
Required
Determine the line equation
First, we need to determine the slope of the line: using
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where
[tex](x_1,y_1) = (9,5)[/tex]
[tex](x_2,y_2) = (8,-3)[/tex]
So;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]
[tex]m = \frac{5 +3}{9 - 8}[/tex]
[tex]m = \frac{8}{1}[/tex]
[tex]m = 8[/tex]
The line equation using point slope form is calculated as thus:
[tex](y- y_1) = m(x - x_1)[/tex]
Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have
[tex]y - 5 = 8(x - 9)[/tex]
Open the bracket
[tex]y - 5 = 8x - 72[/tex]
Make y the subject of formula
[tex]y = 8x - 72 + 5[/tex]
[tex]y = 8x -67[/tex]
PLEASE HELP!!! What is factoring? Why is it useful to try to factor out the GCF first when factoring? Explain the relationship between factoring and multiplying polynomials. Give an example to help explain. Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6 . What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function. Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.
Answer:
What is factoring?Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.
Why is it useful to try to factor out the GCF first when factoring?Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .
Explain the relationship between factoring and multiplying polynomials. Give an example to help explainFactoring take away the multiplication, to factorize a polynomial it means take apart what is multiplied. the best example is a²+b²+2ab ( multiplied)
factorize :(a+b)(a+b) take apart what is multiplied
Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6x²-25 =(x+5)(x-5)
3x²-12x-15 = 3(x²-4x-5) GCF=3
3(x-5)(x+1)
x³+2x²+3x+6 (x+2) common factor
(x+2)(x²+3)
What are the key features needed to graph a polynomial function?the key features are the vertex, axis of symmetry, x and y intercept
Explain how to find these key features to sketch a rough graph of a polynomial functionparabola : y=ax²+bx+c
ex: 3x²-12x-15
find vertex (h,k)
h=-b/2a =-(-12)/2(3)=2
k=f(h)=f(2)=3(2)²-12(2)-15
k=12-24-15=-27
vertex=(2,-27)
x intercept is when the graph =0 (y=0)
y intercept when x=0 then y= the constant c and where the graph cross the y axis
axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.
Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.
example from real life:
A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it the length is 4 feet than the width , and the height is 4
solve:
length=W+4
height=1/3 w
V=length* width* height
240=(w+4)(w)(4)
351= 4w²+16w
4w²+16w-240=0
take 4 as common factor
4(w²+4w-60)
now factorize:
4(w-6)(w+10)=0
A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of the square area, there is a roped-off rectangular area where the children line up. This rectangle is 4 yards wide and x yards long.
1.The total area of the square and rectangular areas together is 2,700 square yards. Write an equation that represents this situation.
2. Use your equation from part a to find the dimensions of the roped-off rectangular area.
please help so i can pass my class!!
Answer:
1) x²+4x=2700
2) 50x50
Step-by-step explanation:
Pony area = x²
line-up area=4x
x²+4x=2700
x²+4x-2700=0
(x-50)(x+54)
So x= 50 or -54. Since it can’t be a negative number, it must be 50.
CHECK:
Square = 50x50 = 2500
Line up area = 50x4 = 200
2500+200=2700 YES
Write the equation 5x − 2y = 10 in the form y = mx + b. y equals start fraction five over two end fraction x minus 10 y equals start fraction five over two end fraction x minus five y equals start fraction five over two end fraction x plus five y equals negative start fraction five over two end fraction x minus five
Answer:
y = 5/2x - 5
Step-by-step explanation:
You have to rearrange the equation so that it is equal to y.
5x - 2y = 10
(5x - 2y) - 5x = -5x + 10
-2y = -5x + 10
(-2y)/-2 = (-5x)/-2 + (10)/-2
y = 5/2x - 5
Find the term of each sequence.
32, 80, 200, ...5th term
Answer:
t5 = 1250
Step-by-step explanation:
Each term is derived by multiplying the previous term by 2.5
t2 = t1 * 2.5
t2 = 32 * 2.5
t2 = 80
===========
tn = a*b^(n - 1)
t3 = 32*2.5^2
t3 = 200
That's just to test the formula. It does work.
===============
t5 = 32*2.5^(5 -1)
t5 = 32*2.5^4
t5 = 1250
Which equation can be used to solve for x in the following diagram?
PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED
Answer:
D. 4x+5x=180
Step-by-step explanation:
Answer:
D. 4x + 5x = 180
Step-by-step explanation:
The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.
4x + 5x = 180
9x = 180
x = 20°
Hope that helps.
Simplify the expression (x)^3(x^3y)^2
A) x^9y^2
B) -x^6y^2
C) x^5y^2
D) -x^9y^2
Answer:
A)
Step-by-step explanation:
[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]
If p(x)=5(x+1), what is the value of p(11)?
Answer:
60
Step-by-step explanation:
Hello!
Since p(x) turns into p(11) we put 11 in for x
p(11) = 5(11 + 1)
Follow PEMDAS
p(11) = 5(12) = 60
The answer is 60
Hope this helps!
Answer:
5(11^2+1)+16
5(121+1)+16
5(122)+16
610+16
p(11)=626
The answer is 626
hoped i helped
Please rate me or leave a like
HELP ME PLZZzzzzzzzz
Answer:
5 cm
Step-by-step explanation:
The volume (V) of milk in the container is calculated as
V = 8 × 15 × 12 = 480 cm³
After change of position with depth d then
8 × 15 × d = 480
120d = 480 ( divide both sides by 120 )
d = 4 cm
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)
Answer:
. an=4(2n−1)
Step-by-step explanation:
Em um posto de combustível, o litro da gasolina estava custando R$2,40.Um cliente gastou R$72,00 para encher o tanque de seu carro. O valor do litro da gasolina sofreu 2 aumentos sucessivos,ambos de 10%. Quando o mesmo cliente gastara para encher o tanque do seu carro, após esees aumentos
Answer:
english i think u need hekp
find the perimeter of a square of length of 5cm
Answer:
20cm
Step-by-step explanation:
If each side of the square = 5 cm, 5 cm times 4 sides = 20 cm.
Answer:
P=20cm
Step-by-step explanation:
To find the perimeter of a square, you just add all the four sides.
Because it says the sides are 5cm, and squares always have the same length, you just:
5+5+5+6=20cm
So, the perimeter of this square is 20cm.
Hope this helps, and have a nice day:)
Need help please! Oh and the options are
A. 2/3
B. 1/5
C. 4/15
D. 2/7
Answer:
C. 4/15There are 15 spaces in total with 4 shaded columnsStep-by-step explanation:
Answer:
Hey there!
The answer would be C. 4/15.
4/5(1/3)=4/15
Let me know if this helps :)
Show that 12.34343434………………can be expressed in the form p/q
Answer:
1222/99
Step-by-step explanation:
12.343434.. =
= 12.(34)
= 12 34/99
= (12*99+34)/99
= (1188+34)/99
= 1222/99
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
Answer:
10800
Step-by-step explanation:
1 trimesters cost = 1450 + 350 $
2 year -> 6 trimester
1800$ x 6 = 10800 $
help..!!! Why do i ask so many questions
Answer:
Hey there!
-4/3-4/5
-20/15-12/15
-32/15
Let me know if this helps :)
6 to the third power divided by 4+2 x 9(32x8-17x4)
Answer:
3438.
Step-by-step explanation:
6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)
= 6³ ÷ 4 + 2 × 9 (256 - 68)
= 6³ ÷ 4 + 2 × 9 × 188
= 216 ÷ 4 + 2 × 9 × 188
= 54 + 2 × 9 × 188
= 54 + 3384
= 3438
3438 is the answer.
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%4, percent raise.
Which expression gives the total amount Harmony has earned in her first nnn years of her career?
Answer:
FV(n)=42,000(1.04)^n
Step-by-step explanation:
FV=PV(1+r/n)^nt
Where
FV=future value
PV=present value
r=interest rate
n=number of periods
t=time (years)
PV=42,000
r=4%=0.04
n=1
t=n
FV(n)=p(1+r/n)^nt
=42,000(1+0.04/1)^1*n
=420000(1+0.04)^n
=42,000(1.04)^n
FV(n)=42,000(1.04)^n
Answer:
42000(1-1.04^n/-0,04)
Step-by-step explanation:
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x
Answer:
reflection across y = x
Step-by-step explanation:
Transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its point are also transformed. Types of transformation is reflection, rotation, transformation and dilation.
If a point is reflected across the x axis, the x coordinate is the same but the y coordinates is negated. If X(x, y) is reflected across the x axis the new point is X'(x, -y)
If a point is reflected across the y axis, the y coordinate is the same but the x coordinates is negated. If X(x, y) is reflected across the y axis the new point is X'(-x, y)
If a point is reflected across y = x, the x coordinate and y coordinates are interchanged. If X(x, y) is reflected across the y=x axis the new point is X'(y, x)
If a point is reflected across y = -x, the x coordinate and y coordinates are interchanged and both negated. If X(x, y) is reflected across the y=ix axis the new point is X'(-y, -x)
The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). The reflection of △ABC to form △A′B′C′ shows a reflection across x axis since the x and y coordinates are interchanged
Answer:
reflection across y = x
Step-by-step explanation:
Questions attached below (❁´◡`❁)
Problem 2
Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]
Also, he forgot about the plus/minus.
This is what his steps should look like
[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]
There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation
Let's try out x = 7
x^2 - 6x - 7 = 0
7^2 - 6(7) - 7 = 0
49 - 42 - 7 = 0
0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1
====================================================
Problem 3
We will have
a = 1, b = -4, c = 3
plugged into the quadratic formula below to get...
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]
The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.
what is this supposed to be bro pls help
Answer: 1
Step-by-step explanation:
so i put the amount of flour to servings into ratios (fractions)
28:14
9:12
10:13
then I put them into the same denominators
2184:1092
819/1092
840/1092
the first one is the greatest
In a triangle ABC with |AB|=9m,|AC| =6m ,the sides AB and AC are produced to points X and Y respectively such that angleBXY=62°,and angle AYX=51°, calculate |BC| ..please help Mee♀️♀️
Answer:
|BC| = 9.4 m
Step-by-step explanation:
Angle bxy = angle abc (reason, corresponding angles)
Angle ayx = angle acb ( reason , corresponding angles)
So angle abc= 62°
Angle acb = 51°
Angle acb + and + bac = 180 (reason, sum of angles in a triangle)
Anlge bac = 180-62-51
Angle bac= 180-113
Angle back = 67°
Using sine formula
|BC| /sin 67 = 9/sin 62
|BC| = sin 67 *9/sin62
|BC| = 9.4 m
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.-6 and -1
B. -1 and 6
C. 1 and 6
D. -6 and 1
Answer:
I think C is the answer .
Step-by-step explanation:
If (x-6) and (x-1) are the factors of function f then remainder of function f is 0.
(x-6)(x-1) = 0
Either,
x-6 = 0
x = 6
and
x-1 = 0
x = 1
so 6 and 1 are the zeros or roots of function f.
Answer:
the answer is 1 and 6 :D
Step-by-step explanation:
Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56
Answer:
[tex]\large \boxed{\sf B. \ 34}[/tex]
Step-by-step explanation:
[tex]5(14 - 2^3 ) +8 \div 2[/tex]
[tex]\sf Solve \ brackets.[/tex]
[tex]2^3 =8[/tex]
[tex]5(14 - 8 ) +8 \div 2[/tex]
[tex]14-8=6[/tex]
[tex]5(6 ) +8 \div 2[/tex]
[tex]\sf Multiply \ and \ divide.[/tex]
[tex]5(6)=30[/tex]
[tex]8 \div 2 = 4[/tex]
[tex]30 +4[/tex]
[tex]\sf Add.[/tex]
[tex]34[/tex]
Answer: 34
Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.
It really is worth the extra time it takes to write out every step.
P E M D A S
Parenthses
Exponents
Multiplication/Division
Addition/Subtraction
In this problem, simplify (14 - 2³) first
because it's located inside the parenthses.
2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.
14 - 8 is 6 so we have 5(6) + 8 ÷ 2.
Now multiplication and division are based on order of appearance.
Since multiplication comes first, we do it first.
5(6) is 30 so we have 30 + 8 ÷ 2.
Now we can do the division.
8 ÷ 2 is 4 and we have 30 + 4 which is 34.
solve for y: -2(5y-1)-y=-4(y-3)
Answer:
[tex]y = - \frac{10}{7} [/tex]Step-by-step explanation:
- 2(5y - 1) - y = - 4(y - 3)
Expand the terms in the bracket
That's
-10y + 2 - y = - 4y + 12
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
That's
- 10y - y + 4y = 12 - 2
- 7y = 10
Divide both sides by - 7
We have the final answer as
[tex]y = - \frac{10}{7} [/tex]Hope this helps you
Point T is on line segment SU. Given ST=13 and TU=5, determine the length SU.
Answer:
[tex]SU=18[/tex]
Step-by-step explanation:
The segments ST and TU make up the line segment SU. Add the values to find SU:
[tex]ST+TU=SU\\\\13+5=18[/tex]
The length of SU is 18.
The length of SU is 18 units.
We have a point T is between S and U.
We have to determine the length SU.
What is Line Segment?A line segment is a part of a line having two end - points.A line segment has a definite length.According to the question -
ST = 13 units
TU = 5 units
Now -
SU = ST + TU = 13 + 5 = 18 units
Hence, the length of SU is 18 units.
To solve more questions on Line Segments, visit the link below-
brainly.com/question/19569734
#SPJ2
Make the biggest possible number using the digits below only once 3 , 1 , 3 answer
Answer:
331 the biggest possible number
the circumference of a circle is 20 pi. what is the radius of this circle?
Work Shown:
C = circumference = 20pi
d = diameter
C = pi*d
pi*d = 20pi
d = 20 after dividing both sides by pi
The radius is half the diameter, so r = d/2 = 20/2 = 10.
As an alternative, you can use the formula C = 2*pi*r
Using the circumference of the circle formula to solve the problem. Then the radius of the circle is 10 units.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
The circumference of a circle is 20π.
We know that the circumference of the circle is given by
[tex]\rm Circumference\ of\ the\ circle = 2\pi r[/tex]
Where r is the radius of the circle.
Then the radius of the circle will be
[tex]\begin{aligned} 20 \pi &= 2 * \pi * r \\r &= 10\end{aligned}[/tex]
Thus, the radius of the circle is 10 units.
More about the circle link is given below.
https://brainly.com/question/11833983
Point R is on line segment QS. Given RS=11 and QS=19, determine the length QR.
================================================
Explanation:
R is between Q and S and on segment QS, allowing us to say
QR + RS = QS
because of the segment addition postulate.
-------
Use substitution and solve for QR
QR + RS = QS
QR + 11 = 19
QR = 19 - 11 .... subtracting 11 from both sides
QR = 8
A. 115
B. 167
C. 126
D. 96
Answer:
126
Step-by-step explanation:
Let x be the missing length
The triangles are similar:
● UE/140 = 45/x
From the graph we deduce that:
● UE = 140 - 90 = 50
Replace UE by its value
● 50/ 140 = 45/x
Switch x and 50
● x / 140 = 45/50
45/50 is 9/10 wich is 0.9
● x/140 = 0.9
Multiply 0.9 by 140
● x = 140 × 0.9
● x = 126
Answer:
I think its c 126
Step-by-step explanation:
write 1,245 in word form
Answer:
One thousand two hundred and forty five.
Hope this helps! （づ￣3￣）づ╭❤～
Step-by-step explanation:
