Answers
Answer:
gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]
Slope intercept Form equation : y = mx + b
m = slope or gradient
b = y - intercept ( where the line crosses the y = axis)
x and y = are place holders for a coordinate pair that makes the equation true
c) y = -6x + 8
The -6 is the m. It's the slope or gradient.
the + 8 is the b. It's the y- intercept.
d) y = 4
This is a horizontal line. It intercepts the y-axis at 4.
That means the 4 is the y-intercept.
There is no x. That means the slope is 0. The line rises 0 as it runs left to right.
e) y -4x= 0
equation needs to be is standard form y = mx + b.
add 4x to both sides in order to isolate the y variable.
y = 4x + 0.
The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.
f) y -x = -8
Add x to both sides.
y = x - 8
There is one x. That means the gradient is 1. The y-intercept is the -8
g) y + 3x = 7
Subtract 3x from both sides.
y = -3x + 7
-3 = gradient. 7 = y-intercept.
h) y + [tex]\frac{1}{2}[/tex]x = -4
Subtract [tex]\frac{1}{2}[/tex]x from each side.
y = -[tex]\frac{1}{2}[/tex]x - 4
One last thing. If you are presented with an equation without a y, the gradient is 'undefined'.
example : x = 4
This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.
Why is it 'undefined' ?
As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.
Hope this helps.
Related Questions
In the equation 17x2 = 12x, the value of c is:
O 0
O 12
O 17
Answers
The value of c is 0.
By question,
17x² = 12x
or,(17x-12):x=0
or,17x - 12 = 0#
For some tips,
In the equation 17x2 = 12x,Rewrite in factored formMove terms to the left sideCreate separate equationsHENCE PROVED ##
Find the total number of outcomes in each experiment. Write your answers on a sheet of paper.
1. tossing a coin
2. tossing 3 coins
3. rolling a die 10 times
4. rolling two dices
5. pressing a number key on a calculator
6. picking a card from a regular deck of cards
7. choosing a letter from the English alphabet
8. choosing a letter from the word OUTCOME
9. choosing a letter from the word PREDICTION
10. picking a crayon from a box with 36 crayons of different colors
Answers
Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)
Which equation in slope-intercept form represents a line that is parallel to y=-4x-5 and passes through the points (0,0)?
Answers
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
There are 103 pounds of wood pieces in a bag. Each wood piece weighs 53 pounds. How many wood pieces are there in the bag?
Answers
Answer:
Approximately 2
Step-by-step explanation:
103 divided by 53 is 1.94
Round 1. 94 up to a whole number is approximately 2 wood pieces.
Tamisha's shampoo bottle holds 1/2 bottle of shampoo.She used 5/6 of the bottle.How many gallons of shampoo has Tamisha used?
Answers
Answer:
5/12
Step-by-step explanation:
1/2 x 5/6 = 5/12
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me ans this question,its urgent!!
I'll mark u as the brainliest!
Answers
ok this is answer any questions
In a triangle ABC, a=4 cm, b=3 cm and angleC=30°, find the area of triangle ABC.
a. 6
b. 1.5
c. 3
d. 3 root 3
Answers
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
Answers
Choices:
One-sixth cups
Five-sixths cups
1 and two-thirds cups
1 and 5 / 6 cups
Answers
Answer:
Patel will require more orange juice = [tex]\frac{371}{660}[/tex] cups
Step-by-step explanation:
Patel needs the orange juice for his family = 3 cups
He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges
[tex]=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})[/tex]
L.C.M. of the denominators = 660
[tex]=3-\frac{572+132+297+300+308}{660}[/tex]
[tex]=3-\frac{1609}{660}[/tex]
= [tex]\frac{1980-1609}{660}[/tex]
= [tex]\frac{371}{660}[/tex]
Therefore, amount of orange juice required more = [tex]\frac{371}{660}[/tex] cups
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answers
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
:. In the diagram below, AC is congruent to CE and D is the midpoint of CE. If CE = 10x + 18, DE = 7x - 1, and BC = 9x - 2, find AB.
Answers
Answer:
25
Step-by-step explanation:
Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.
To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,
7x-1 = 1/2(10x+18)
expand
7x-1 = 5x + 9
add 1 to both sides to separate the 7x
7x = 5x + 10
subtract 5x from both sides to separate the x
2x = 10
divide both sides by 2 to separate the x
x=5
Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.
Using x=5, we know that BC = 9(5) -2 = 43
Therefore, AB = AC-BC = 68-43 = 25
D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.
Since DE = 7x-1, which also means CD = 7x-1.
CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.
Therefore, x = 5 and CE = 68.
Since AC is congruent to CE, AC = 68.
Assuming the point B is somewhere between AC.
Since BC = 9x-2 and x = 5, which means BC = 43.
AC - BC = AB, so 68 - 43 = 25.
Therefore, AB = 25
Find the size of each of the unknown angles. Help me plz
Answers
Answer:
2a+15 = 125(being alternate angle)
or,2a = 125-15
or,2a = 110
or,a = 110÷2
,a = 55
again,2a+15+b+30=180(Being co-interior angle)
or,2×55+15+b+30=180
or,110+15+30+b=180
or,155+b=180
or,b=180-155
Therfore,b=25
What is the answer to this question
Answers
Answer:
B - Congruent : SAS
Step-by-step explanation:
We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.
If a^2 -b^2 =12 and a-b=4 what is the bay of a +b
Answers
Answer:
a+b = 3
Step-by-step explanation:
a = b+4
a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12
8b=-4
b = - 1/2
a = 3.5
what is the volume of the figure. answer plz.
Answers
Answer:
Volume: 37.692 cm3
Step-by-step explanation:
1) 1/3 x 3.14 x 3 power of 2 x 4
2) 1.047 x 9 x 4
3) 37.692 cm3
Answer:
[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]
[tex]r=3cm[/tex]
[tex]h=4 cm[/tex]
[tex]volume=\pi /3\times3^{2} \times4[/tex]
[tex]=12\pi =12\times3.14[/tex]
[tex]=37.68~ cm^{2}[/tex]
-----------------------
hope it helps...
have a great day!!
proportional linear relationships can be represented in how many different forms
Answers
Proportional Linear Relationships can be expressed in the following ways:
a graphan equation, or a list of points.What is a proportional linear relationship?From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.
Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:
a graphan equation, or a list of points.An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.
Learn more about the proportional linear relationships at;
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rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answers
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
A class conduct an experiment in biology. They place a number of 1 m by 1 m square grids on the playing field and count the number of plants in each grid. The results obtained are given below.
6 3 2 1 3 2 1 3 0 1
0 3 2 1 1 4 0 1 2 0
1 1 2 2 2 4 3 1 1 1
2 3 3 1 2 2 2 1 7 1
(a)
Calculate the mean number of plants.
Answers
Step-by-step explanation:
their mean is....
6+3+2+1+3+2+1+3+0+1/10=2.1
3+2+1+1+4+0+1+2+0/10=1.4
1+1+2+2+2+4+3+1+1+1/10=1.8
2+3+3+1+2+2+2+1+7+1/10=2.4
the means are 2.1,1.4,1.8,2.4
the average mean is
21+14+18+24/40
32+45/40
77/40=1.925
the average mean is 1.925
What is the standard form equation of the line shown below? Graph of a line going through negative 1, 5 and 2, 4
Answers
Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
f(b) = 7b^3 +8b and g(b) = b ^2+ b - 10. What is f(b)-g(b)?
Answers
Answer:
[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]
Answer:
[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]
Step-by-step explanation:
[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]
[tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]
A nursery sells English, tea, and miniature rosebushes in red, pink, yellow, and white. How many
different types of rosebushes could you buy?
Answers
is this year 3 math? Its 4
5. Biking at a constant rate, Elise travels
35 miles in 7 hours. If she travels at the
same speed, how far will Elise bike in
9 hours?
A 5 mi
B 44 mi
C 45 mi
D 63 mi
Answers
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answers
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
If
5
3 cosα = in the first quadrant, what does cot α
equal?
Answers
Answer:
5/4
Step-by-step explanation:
To Find :-
cot a .Solution :-
By question ,
=> cos a = 5/3 = b/h
=> p = √ 5² - 3² = √ 25 -9 = 4
Therefore ,
=> cot a = b/p = 5/4
HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS
Answers
A of square = 9 units squared
A of triangles = 4.5 each unites squared
Using Euler's formula, how
many edges does a polyhedron
with 5 faces and 5 vertices have?
[?] edges
Euler's Formula: F + V = E + 2
Answers
Answer:
8 edges
Step-by-step explanation:
Form the formula F+V=E+2
U make E the subject by moving everything thing else to the left hand side
F+V-2=E
this implies 5+5-2=E
10-2=E
therefore Edges = 8
The polyhedron with 5 faces and 5 vertices has 8 edges.
To determine the number of edges in a polyhedron with 5 faces and 5 vertices using Euler's formula (F + V = E + 2).
we need to substitute the given values into the equation.
Given:
Number of faces (F) = 5
Number of vertices (V) = 5
Substituting these values into Euler's formula, we have:
5 + 5 = E + 2
Simplifying the equation:
10 = E + 2
Subtracting 2 from both sides:
E = 10 - 2
E = 8
Therefore, the polyhedron with 5 faces and 5 vertices has 8 edges.
To learn more on Euler's formula click:
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find perimeter of the semicircular region
Answers
Answer:
4. 87.96 yd
5. 47.12 ft
6. 34.56 cm
Step-by-step explanation:
4. diameter(d) = 28 yd,
perimeter = πd = 87.96 yd (rounded to 2 dp)
5. radius(r) = 7.5 ft
perimeter = 2πr = 47.12 ft (rounded to 2 dp)
6. diameter (d) = 11 cm
perimeter = πd = 34.56 cm
Answered by GAUTHMATH
Formula to find the perimeter of a semicircular region:
if radius given: [tex]P=2r[/tex] + [tex]\pi r[/tex] {r = radius}
if diameter given: [tex]P=d+\pi r[/tex] {d = diameter}
Take [tex]\pi[/tex] as 3.14
Q4.
Diameter = 28 yd
Radius = 28/2 = 14 yd
[tex]P=28+\pi (14)[/tex]
[tex]P=28+(3.14)(14)[/tex]
[tex]P=28+14.96[/tex]
[tex]P=42.96[/tex] yd
Q5.
Radius = 7.5 ft
Diameter = 7.5 × 2 = 15 ft
[tex]P=2(7.5)+\pi (7.5)[/tex]
[tex]P=2(7.5)+(3.14)(7.5)[/tex]
[tex]P=15+23.55[/tex]
[tex]P=38.55[/tex] ft
Q6.
Diameter = 11 cm
Radius = 11/2 = 5.5 cm
[tex]P=11+\pi (5.5)[/tex]
[tex]P=11+(3.14)(5.5)[/tex]
[tex]P=11+17.27[/tex]
[tex]P=17.27[/tex] cm
I hope this helps...
Have a great day ahead :)
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Answers
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24
black jelly beans, and 26 purple jelly beans, what is the probability that a jelly
bean chosen at random will be pink?
Answers
Answer:
There are 16 pink jelly beans.
There are 16+34+24+26=100 jelly beans in total.
The probability is 4/25, or 16%.
Step-by-step explanation: hope this helps and gl :)
Answer:
The answer is 4/25
Step-by-step explanation:
Hope this helps
(d) X(-12) = 132
help me with equations
Answers
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
