Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
f*(x)-(-x^2-3*x)=0
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
fx + x2 + 3x = x • (f + x + 3)
Equation at the end of step
2
:
x • (f + x + 3) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x = 0
Solution is x = 0
Equation of a Straight Line
3.3 Solve f+x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line f+x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000
f-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
f-intercept = -3/1 = -3.00000
x = 0
what angles of rotational symmetry are there for a regular pentagon
Answer:
a regular pentagon has 72 degrees
Step-by-step explanation:
what is the product of 1/2 × 2/3 × 3/4 × 4/5
Answer:
5/6
Step-by-step explanation:
brainly pls
Answer:
5/6
Step-by-step explanation:
make me brainliest please
Find the measure of the missing angles
Answer:
m∠1 = 63
m∠2 = 49
m∠3 = 87
m∠4 = 44
Step-by-step explanation:
Angle 2 and 49 are similar
Angle 2 = 49
Angle 1 + 49 + 68 = 180
180 - 49 - 68 = Angle 1
180 - 49 - 68 = 63
Angle 1 = 63
Angle 3 + 93 = 180
180 - 93 = Angle 3
180 - 93 = 87
Angle 3 = 87
Angle 4 + 49 + 87 = 180
180 - 49 - 87 = Angle 4
180 - 49 - 87 = 44
Angle 4 = 44
Step-by-step explanation:
A straight angle measures 180°.
m∠3 = 180 - 93
m∠3 = 87
The sum of the three angles of any triangle is equal to 180°.
m∠4 = 180 - (49 + 87)
m∠4 = 180 - 136 = 44
The vertically opposite angle.
so m∠2 = 49
The sum of the three angles of any triangle is equal to 180°.
m∠1 = 180 - (68 + 49)
m∠1 = 180 - 117 = 63
please give me a brainliest answer
Find the missing variable in the diagram below.
60 + (3x - 13) = (5x + 1)
60 + 3x - 13 = 5x + 1
3x - 5x = 1 - 60 + 13
-2x = -46
-2x / -2 = -46 / -2
x = 23
Answer: x = 23
What is the image of the point (-9,-1) after a rotation of 270 counterclockwise about the origin?
Answer:
uhh I'm pretty sure it's (9,1) went from quadrant 3 to 2 which is all positives
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
AB = RS
AB = 2RS
ABC ~ RST
ABC = RST
m<BAC = m<SRT
m<BAC = 2m<SRT
The reflection transformation in the question is a rigid transformation,
therefore, the image and the preimage are congruent.
The statements that are true are;
AB = RS∠ABC ~ ∠RSTΔABC = ΔRSTm∠BAC = m∠SRTReasons:
The given parameter are;
Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST
Required:
To select the true statements
Solution:
A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.
Therefore;
AB = RS
BC = ST
AC = RT
Given that the image formed by a reflection is congruent to the preimage, we have;
ΔABC ≅ ΔRST
∠ABC ≅ ∠RST
m∠ABC = m∠RST by the definition of congruency
∠BCA ≅ ∠STR
m∠BCA = m∠STR by the definition of congruency
∠BAC ≅ ∠SRT
m∠BAC = m∠SRT by the definition of congruency
Therefore, the true statements are;
AB = RS; Image formed by rigid transformation∠ABC ~ ∠RST; Definition of similarityΔABC = ΔRST; By definition of congruencym∠BAC = m∠SRT; by the definition of congruencyLearn more here:
https://brainly.com/question/11787764
Plz, can anyone answer this question
What is the slope of a line that is perpendicular to a line that goes through the points (4,2) and (7,6)
Answer:
Slope of the perpendicular line
m2=-5/2
Step-by-step explanation:
IT"S STARRR DAYY
FOR ME :(
Step-by-step explanation:
45÷11= 4 R 1
between 4 and 5
4 1/11
4 1/11
find the coordinates of the midpoint of the segment whose endpoint are H(3,2) and K(9,6)
Answer:
midpoint P(6, 4)
Step-by-step explanation:
[tex] \frac{x1 + x2}{2} \\ \frac{y1 + y2}{2} [/tex]
[tex] \frac{9 + 3}{2} = 6 = x \: mid \: point \\ [/tex]
[tex] \frac{6 + 2}{2} = 4 = y \: mid \: point[/tex]
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the sides of the figures
(1)
The figure has 5 congruent sides , then perimeter P
P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5
= 2x + 5
(2)
There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then
P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4
= 10x - 4y + 8y ← collect like terms
= 10x + 4y
(3)
P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis
= 2a - b + 3b + 2a ← collect like terms
= 4a + 2b
The height of the tide at the Bay of Fundy in New Brunswick decreases 36 feet in 6 hours. What is the mean hourly change in the height in feet per hour?
help
Answer:
6 feet per hour
Step-by-step explanation:
36 / 6 = 6
hi, can anyone help with b) and c)?
Answer:
steps below
Step-by-step explanation:
From the graph: parabola pass (0,4) (3,4) (1,2)
equation: y = ax² + bx + c
(0,4): c = 4
(3,4): 9a + 3b + 4 = 4 9a+3b = 0 3a + b = 0 ... (1)
(1,2): a + b + 4 = 2 a+b = -2 ... (2)
(1)-(2): 2a = 2 a = 1
(2): b = -3
parabola equation: f(x) = x² - 3x +4
(a) f(3) = 3² - 3*3 + 4 = 4
(b) normal line: parallel to tangent line y = 3x -5 at (3,4)
slope of line N: -1/3 pass (3,4)
equation of N: (y-4)/(x-3) = -1/3 y-4 = -1/3 x + 1
line N: 1/3 x + y - 5 = 0
(c) picture attached
What is the cubic root of 81 without a calculator? And how do you get it? Please explain
Answer:
[tex] 3\sqrt[3]{3} [/tex]
Step-by-step explanation:
First, notice that 81 is divisible by 3.
81/3 = 27
27 is also divisible by 3.
27/3 = 9
9 = 3 * 3
81 = 3 * 3 * 3 * 3
81 = 3^3 * 3
[tex] \sqrt[3]{81} = \sqrt[3]{3^3 \times 3} = 3\sqrt[3]{3} [/tex]
Giving brainlyest if your answer is right
Answer:
-147 because -21x7 equals -147
Step-by-step explanation:
Write the equation of the line in point-slope form.
Answer:
y-1= -3/4(x-1)
Step-by-step explanation:
find the slope then put it in the format: y2-y1=m(x2-x1)
y-1= -3/4(x-1)
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
So we have 2 points:
(-3, 4) & (1, 1)
The formula for point-slope is:
y - y1 = m (x - x1)
First, we need to find the slope between the points
The formula for this is
(y2 - y1) /(x2 - x1)
1 - 4 / 1 - (-3) ->
-3 / 4
Our slope is -3/4 (m)
y = -3/4 (x + 3) + 4
I've done this using a simplified formula for point slope which is
y = m(x - x1) + y1
we can simplify this equation more
y = -3/4x + 7/4
is our final equation.
pls help :( i think i’m
supposed to add the matrices ???
I HOPE IT WILL HELP YOU.
THANK YOU.
I HOPE YOUR DAY GOES GREAT.
Solve for b in the literal equation a+ b+ c= 180
Answer:
b = 180 - a - c
Step-by-step explanation:
To solve for b given the literal equation, a + b + c = 180:
Subtract a and c from both sides:
a + b + c = 180
a - a + b + c - c = 180 - a - c
b = 180 - a - c
can someone please help me
Answer:
x = 1 and it's undefined yaaaaaaaaaaa
Name the marked angle in 2 different ways
Answer:
Step-by-step explanation:
Angle ECB or angle BCE should do it
Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form
can you plz help.me this to find plz plz
Sums are incorrect
[tex]\\ \sf\longmapsto 3a+b-(6b-2)[/tex]
[tex]\\ \sf\longmapsto 3a+b-6b+2[/tex]
[tex]\\ \sf\longmapsto 3a-5b+2[/tex]
s 0.4544555444........ Rational or Irrational? Why
Answer:
Rational
Step-by-step explanation:
Its rational because it has the same numbers/pattern
You can find the answer in the image above.
What is 42893+2432743
Answer:
42,893 + 2,432,743 = 2,475,636
, Hope this helps :)
Have a great day!!
Answer:
[tex]\sf 42893+2432743[/tex]
[tex]\sf =2475636[/tex]
Classify this number as rational, irrational, or nether: 6
Answer:
The answer is : Rational
the sum of the measures of the angles of all triangles is 180 degrees.if one angle of the triangle measures 45 degrees,and other two angles are equal.what is the measure of the other two angles?
Answer:
67.5 degrees.
Step-by-step explanation:
Let the measure of two equal angles of the triangles is x.
Thus, the angles of the triangles are x, x and 45 degrees.
Answer:
67.5°
Step-by-step explanation:
Given:
All triangles is 180°
One Triangle measure 45°
2 Other Angles are equal
To Find:
Two Other Angles
Solution:
180°- 45° = 135°
135° ÷ 2 = 67.5°
Therefore the other two angles are 67.5°
Will someone please help me ASAP
Answer:
y- [2] = 4(x - [3])
Answer:
y-2 = 4(x-3)
Step-by-step explanation:
The point slope equation is
y - y1 = m(x-x1) where m is the slope and (x1,y1)
y-2 = 4(x-3)
the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities
Answer:
5/12 is your answer
=^-^=
helping my sister with her homework
Answer:
5 : 10
6 : 12
7 : 14
8 : 16
9 : 18
Step-by-step explanation:
10/5=2
there is only one number in between 7 and 5
so now you have to go up 2 each time in the right collum and go up once in the left collum.
How to solve this question?????
Help me please
Answer: 24/10
Answer: 24/10Step-by-step explanation:
1) 1*1÷10 +1*1÷5+2÷20
2)(1*10+1)/10+(1*5+1)/5+2/20 3)11/10+6/5+2/20
4)11/10+6/5+1/10
5)11/10+12/10+1/10
6)(11+12+1)/10
7)24/10
Hope it helps!Please mark me brainest and follow me to get the answer faster
