Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
Solve (MAFS.912.A-REI.2.3)
4
15= 2
+8
A. =1
2 B. =−1
2
C. =2 D. =−2
Answer:
c,=2d=-2
Step-by-step explanation:
100 points if u get this right ty have a nice day !
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
In the figure, m<2=64. What is the measure of <1?
Answer:
b
Step-by-step explanation:
I had that question before
What trig function and angle is equivalent to sin(270°)?
Answer:
θradians sin(θ)
3π/2 -1
Step-by-step explanation:
leave a thanks if helped pls <3
The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,
sin(270°) = sin(3π/2) = -1
Also, if the trigonometric function is needed to be changed then we can write,
sin(3π/2) = cos(π) = cos(180°) = -1
Hence, the trigonometric function and angle are equivalent to sin(270°).
Learn more about Trigonometric functions:
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Given that f ( x ) = 8 x + 5 f ( x ) = 8 x + 5 and g ( x ) = 3 − x 2 g ( x ) = 3 - x 2 , calculate f(g(0))
Answer:
29
Step-by-step explanation:
g(0)=3-2(0)
= 3
f(3) = 8(3)+5
f(3) = 29
is 1/4 bigger than 3/5
Answer:
No.
Step-by-step explanation:
If you plug both fractions into a calculator, you will get:
1/4 = 0.25
3/5 = 0.60
Since 25 is less than 60, 1/4 is not greater than 3/5.
At a charity fund-raiser, adult tickets were sold for $7 each and children's tickets were sold for $2 each. Write an algebraic expression for the total amount of
money raised from the sale of tickets. How much money was raised if the fundraiser fsold 246 adult tickets and 380 children's tickets?
Let a = the number of adult tickets and let c = the number of child tickets. Then, an algebraic expression for the total money raised from the sale of tickets is
Answer:
x is amount of money
c + a = 646
2c + 7a = x
2(380) + 7(246) = 2486
x = $2486
f(x)= 2/3x+5 for f(15)
solve for f(15)
pls help im taking a test rn and failing my grade Q-Q
Answer:
So......cheating eh? jk, the answers 15
Step-by-step explanation:
you plug in 15 for x ==> 2/3 x 15 + 5 = f(15)
simplify ==> 10+5 = f(15)
so f(15) = 15
find the limiting value using L hospital
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
if the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
-10
Step-by-step explanation:
The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.
[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]
-10 (x) should be the input number.
Answer:
x = -10
Step-by-step explanation:
Equation:
-52 = 5x - 2 [tex]\longmapsto[/tex] Add 2 to both sides
-50 = 5x [tex]\longmapsto[/tex] Divide both sides by 10
x = -10
-Chetan K
6-3b-6= -15
i need help asappl
Hello there!
6-3b-6=-15
-3b=15+6-6
-3b=15
b=-3
Hope it helps you!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
b=5
Step-by-step explanation:
6-3b-6=-15
-3b=-15
3b=15
b=15÷3
=5
HELPPPPPPPPPPPPPPPPPP MEEEEEEEE
Answer:D
Step-by-step explanation:
The equation is y=mx+b. Here the slope is 1/5 and b is 5
Answer:
D
Step-by-step explanation:
Y intercept is +5
Slope is going up one and over five, so 1/5.
y=1/5x+5
Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?
Answer:
300 miles
Step-by-step explanation:
$67.96 + $0.11x = $55.96 + 0.15x
x = 300
I hope this helps!
math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together
Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.
Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.
The tip of a 5ft ladder plank is resting on a man's head,the next end is on level ground 3.5 ft away from the man. Determine the height of the man to the nearest whole number.
Answer:
4 ft
Step-by-step explanation:
This is a right triangle problem
the hypotenuse is 5
Therefor
a^2 + 3.5^2 = 5^2
a^2 = 5^2 - 3.5^2
a^2 = 25 - 12.25
a^2 = 12.75
a = 3.5707142143
to the nearest whole number.
4 ft (that's a very short man)
In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?
Answer:
3
Step-by-step explanation:
since the ratio is one to 3 there is one trombone for every 3 violas. you can find the answer by doing 9/3=3. so if there are 9 violas there are 3 trombones
Which equation is correct?
792 × 5 = 700 × 5 + 90 × 5 + 2
792 × 5 = 700 + 90 × 5 + 2 × 5
792 × 5 = 700 × 5 + 90 × 5 + 2 × 5
792 × 5 = 7,000 × 5 + 900 × 5 + 20 × 5
Answer:
what's the correct number supposed too equal?
Answer:
I don't see a Solution to this equation
find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Plz answer number 9 people keep wasting my time and points
Answer:
Dude just search it up
Step-by-step explanation:
you have small brain
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS?
Answer:
B
Step-by-step explanation:
jus belive me
The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
On a coordinate plane, parallelogram PQRS is shown.
Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).
In the diagram, SR = 4√2 and QR = √10.
We know SR = PQ and RQ = SP
Then the perimeter of the parallelogram is the sum of all sides.
P = PQ + QR + RS + SP
P = 4√2 + √10 + 4√2 + √10
P = 8√2 + 2√10
Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.
More about the parallelogram link is given below.
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Will the value of each power will be + or - ?
4. (-64
5. (-3)?
Plzzz help
Answer:
4. Positive (+)
5. Negative (-)
Step-by-step explanation:
When the exponent is even, the value will be positive (+). If the exponent it's odd, the value will be negative (-). This only applies when the number in the parenthesis is a negative number.
4) Solution:
→ (-6)⁴
→ -6 × -6 × -6 × -6
→ +1296
Ans: Positive
5) Solution:
→ (-3)⁷
→ -3 × -3 × -3 × -3 × -3 × -3 × -3
→ -2187
Ans: Negative
simplify this addition 2m+(-2m)+4m
[tex]\\ \sf\longmapsto 2m+(-2m)+4m[/tex]
[tex]\\ \sf\longmapsto 2m-2m+4m[/tex]
[tex]\\ \sf\longmapsto (2-2)m+4m[/tex]
[tex]\\ \sf\longmapsto 0+4m[/tex]
[tex]\\ \sf\longmapsto 4m[/tex]
Answer:
4m
Step-by-step explanation:
2m+(-2m)+4m = 2m-2m+4m
= 4m
Hope it helps!!
Amanda is 15 years old. She has two sisters, Britney, who is 12 years old, and Caitlin, who is the youngest. Amanda’s age is equal to 3 times the difference of Britney’s age and Caitlin’s age. How old is Caitlin? A. 3 years old B. 5 years old C. 7 years old D. 12 years old
Answer:
c. 7
Step-by-step explanation:
Amanda is 15. 15 is 3 times the age difference so you know the age difference is 5. Britney is 12 so subtract 5 and thats 7.
Answer:
C. 7 Years Old
Step-by-step explanation:
Did the quiz and got 100%
what is the approximate area of a circle with a radius of 11m?
Ella set out a board of pine lumber that was 0.8 feet long and a board of cedar lumber that was 0.80 feet long. Alberto said the cedar board was longer. Is he correct?
Answer:
No
Step-by-step explanation:
0.8=0.80
 Find the perimeter. Simplify the answer
Answer:
20v + 6
Step-by-step explanation:
Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7
Perimeter = 2v + 18v + 20 - 14
Perimeter = 20v + 6
-Chetan K
Answer:
Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10
= 20v + 6...ans
Step-by-step explanation:
Hope i lt Helps you!!What is magnitude in maths ?
Answer:
In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.
These are already solved but can someone explain how we got them, steps please! I really need it..
Answer:
1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term
* so you have to put the like terms together to solve the equation
*then you say 9x 3 first because it is the biggest number (I think)
* then you put 5x 2 and 2x 2 together and 3x and x together too
* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)
:9x 3 + 7x 2 +2x
Note:in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible
haha
and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers
Do all direct proportional graphs need to start from the origin?
Answer:
Direct proportional graphs do not need to start from the origin.
Step-by-step explanation:
Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.
Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).
As a proof, the attached screenshot shows the graph of three equations of direct variations. The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.
which number sentence can be used to find 42 divied by 7
Answer: isn't it 42÷7=6?
Answer:
42 / 7 = 6
Step-by-step explanation:
Just use a multiplication table.