Answer:
( 5 + s ) 4 = 20 + 4 s
Step-by-step explanation:
Distribution property
Let a, b and c are numbers then distribution property is defined by
a( b + c) = a b + a c
(a+ b) c = a c + b c
Given that
( 5 + s ) 4 = 5× 4 + s× 4
= 20 + 4 s
Final answer:-
( 5 + s ) 4 = 20 + 4 s
Evaluate - 3x + 2y when x = 2 and y = 3
Answer:
the answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-3x + 2y
-3(2) + 2(3) ## Substitution
-6 + 6 ## Distributive
0 ## Addition
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
Find the quotient of the complex numbers. Express your answer in
trigonometric form.
z = 7(cos15° + i sin15)
zz = 2(cos1 10° + i sin 110)
HELP ASAP!
Answer:
answer is c
Step-by-step explanation:
cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
Answer:
Answer below
Step-by-step explanation:
I really hope it works
Divide using any method 2x^2+5x+1 ÷ X+3
Question:
Solve the equation 2x2−5x+3=0 by the method of completing square.
Answer:
We have,
2x2−5x+3=0
⇒x2−25x+23=0 (Dividing throughough by 2)
⇒x2−25x=−23 (Shifting the constant term on RHS)
⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)
⇒(x−45)2=1625−23⇒(x−45)2=16
What is an equation for the translation of y = |x| down 8 units?
Please help for math in 2 min or less
Below is a table of revenue and cost, in thousands of dollars, of a business. Use the best fit line to estimate the number of months until the business is no longer profitable.
Answer: It's 18
Step-by-step explanation: i took it and got it right
which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?
Answer:
23
Step-by-step explanation:
because 10+13 well hope that helps
Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many
did Brian get?
Answer:
7
Step-by-step explanation:
hope it helps
Find the slope that contains the points (-1, 4) and (2,6).
Answer:
slope = 2/3
Step-by-step explanation:
What is the answer to this question?
Answer:
Step-by-step explanation:
X=-6
Step-by-step explanation:
x= -6
......................
Sum of two numbers = 15 (Addition)
Difference of two numbers =3 (Subtraction)
Find the two numbers.
What is the product of those two numbers? (Multiplication)
Answer:
The numbers are x= 9 and y =6
The product of two numbers
x y = 9 × 6 = 54
Step-by-step explanation:
Step(i):-
Let x and y are two numbers
Given that the sum of two numbers
x + y = 15 ..(i)
Given that the difference of two numbers
x - y = 3 ..(ii)
adding (i) and (ii) , we get
x + y + x -y = 15 +3
2 x = 18
x =9
Step(ii):-
Substitute x = 9 in equation (i) , we get
x + y = 15
9 + y = 15
y = 15 - 9
y = 6
Final answer:-
The numbers are x= 9 and y =6
The product of two numbers
x y = 9 × 6 = 54
In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.
Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.
What is the area of the quadrilateral
Q
R
U
T
?
Answer:
maths challenge>
Step-by-step explanation:
samee
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies
Answer:
4cups of chocolate chips
Hope I helped
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2 cups times two recipes
2x2=4
ALGEBRA Evaluate the expression when X-
2 and = is - 1/5
Answer:
x=9/5
Step-by-step explanation:
x-2=-1/5
x=9/5
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
i need help with this
2(5x+4)=
y - 2x =3 Solve for Y
Answer:Add x to both sides of the equation.y=3+2x
Step-by-step explanation:
could y be 9 im lost
solve 8u<35 plz help
Answer:
u < 35/8
Step-by-step explanation:
u < 35/8 (divide by 8)
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
How do you do these question and what's the answer?
-1/3 (n + 15) = -2
46 = -6t -8
Urgent. Please answer ASAP. Thanks guys!
Answer:
n= -9, t= -9
Step-by-step explanation:
1) -1/3(n+15)=-2
-1/3×n+-1/3×15=-2
-1/3×n -5= -2
-1/3 n-5+5= -2+5
-1/3×n=3
3/-1×-1/3×n=3/-1×3
n= -9
2) 46 = -6t -8
−6t−8=46
−6t−8+8=46+8
−6t=54
Divide both sides by -6
t=-9
A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.
Answer:
$3573. 64
Step-by-step explanation:
Convert 11.25% to the decimal fraction 0.1125. Then subtract this result from 1.0000: 0.8875.
After 14 years, the formerly $19000 car will have the value
$19000(0.8875)^14 = $3573. 64
Which ones are true?
Answer:
its box 1,3,5
Step-by-step explanation:
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know that part of the answer is -25 -
but is it -25 - 13 or -25 - -13
Answer: -25 - 13
This simplifies to -38
So the worker's final position is 38 feet below the ground.
A diagram is shown below.
==========================================================
Explanation:
Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.
To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.
For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.
Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13
The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.
------------------------------------
After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so
25+13 = 38
But the final answer is negative because we're starting underground and moving further underground.
We can write it like this
-25 - 13 = -(25+13) = -(38) = -38
Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.
Check out the diagram below.
If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?
Answer:
5 and 8
Step-by-step explanation:
quadratic formula.
-(b)+sqrt(b)^2-4(a)(c)
^ans
divide the whole thing by 2(a).
If the formula isn't clear, search quadratic formula up.
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £
Answer:
Sarah: £15
Fiona: £15
David: £10
Step-by-step explanation:
3 + 3 + 2 = 8
40 ÷ 8 = 5
3 × 5 = 15
3 × 5 = 15
2 × 5 = 10