Answer:
equation calculator help u out
Answer:
y = 27.5
Step-by-step explanation:
120 (x) - 55 (y) = 65
65 / 2 = 32.5
60 - 32.5 = 27.5
x = 60 and y = 27.5
I really hope this helps...
Five times the sum of a number and 6 is 48
Answer:
3.6
Step-by-step explanation:
Step 1: Find out what 48 ÷ 5 is
9.6
Step 2: Subtract 6 from 9.6
3.6
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ B + C = π - A
→ C + A = π - B
→ C = π - (B + C)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use the Sum/Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B
Use the Double Angle Identity: sin 2A = 2 sin A · cos A
Use the Cofunction Identity: cos (π/2 - A) = sin A
Proof LHS → Middle:
[tex]\text{LHS:}\qquad \qquad \cos \bigg(\dfrac{A}{2}\bigg)+\cos \bigg(\dfrac{B}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Sum to Product:}\qquad 2\cos \bigg(\dfrac{\frac{A}{2}+\frac{B}{2}}{2}\bigg)\cdot \cos \bigg(\dfrac{\frac{A}{2}-\frac{B}{2}}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Given:}\qquad \quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi -(A+B)}{2}\bigg)[/tex]
[tex]\text{Sum/Difference:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{2(A+B)}{2(2)}\bigg)\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+2\sin \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)[/tex]
[tex]\text{Factor:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{4}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi}{2}-\dfrac{A+B}{4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{2\pi-(A+B)}{4}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[2 \cos \bigg(\dfrac{2\pi-2B}{2\cdot 4}\bigg)\cdot \cos \bigg(\dfrac{2A-2\pi}{2\cdot 4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)[/tex]
[tex]\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{\pi -C}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)[/tex]
LHS = Middle [tex]\checkmark[/tex]
Proof Middle → RHS:
[tex]\text{Middle:}\qquad 4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)\\\\\\\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)[/tex]
Middle = RHS [tex]\checkmark[/tex]
4x²-9y²-6x-9y Factorize
Answer:
Step-by-step explanation:
Evaluate the function 7(x) = 2x+8 when x = 6.
O 96
O 28
O 20
O 16
Answer:
20
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 2(6) + 8 = 12 + 8 = 20
Is -4 greater than -4.25?
Answer:
Yes
Step-by-step explanation:
The smaller the negative number, the greater it is. i.e., -230 < -9.
Answer:
yes
Step-by-step explanation:
it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative
For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
Help needed ASAP will give BRAINLIEST
Answer:
177.2 i think
Step-by-step explanation:
Don’t know the answer
Answer: The answer i think is A
Step-by-step explanation:45w stands for how much she paid each week, while 123.95 stands for a one time payment
This all should equal 753.95 which is how much they paid in total.
Solve: 4(x-1)-3(3x-2)=12(x+2)
Answer:
4x - 4 -9x + 6 = 12x + 24
arrange like terms
-5x +2 = 12x + 24
or, -17x = 22
x = - 22/17
Answer:
4x-4-9x+6=12x+24
4x-12x-9x= 4-6+24
-17 x= 22
X= -22/17
mark it as brainliest!!!
Dunni earns money babysitting.She charges $20 for traveling to the job, plus another $5 for each hour she babysits.Yesterday Dunni earned $60 for babysitting job
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.
i would appreciate if you showed work so i know how you did it!
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Evaluate the expression for v = 12.
Write your answer as a decimal or whole number.
–10.9 + 4v =
Answer:
1.
v = 12
-10.9 + 4v
-10.9 + 4(12)
-10.9 + 48
= 37.1
6x10-4 in standard notation
Answer:
The Answer is 2(3x^10-2) Hope this helps :)
-by-step explanation:
a -42+(-17)
b 8-(-9)
c 8(-9)
D
E
F
G
Answer:
.A -42+(-17)
Step-by-step explanation:
Please help lol
Answer options:
A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)
Pls help me with this question
If each interior angle of a regular polygon is 144 degrees. Find the number of sides in it.
Answer:
10
Step-by-step explanation:
In a polygon
interior angle + interior angle = 180°, thus
exterior angle = 180° - 144° = 36°
The sum of the exterior angles in a polygon = 360°, thus
number of sides = [tex]\frac{360}{36}[/tex] = 10
Answer:
10 sides
Step-by-step explanation:
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°.
0.001429 in scientific notation
Answer:
1.429 × 10^-3
Step-by-step explanation:
since it's below 1, you're moving the decimal to the right, which makes the 3 negative.
Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution
Answer:
the answer is reflective
Step-by-step explanation:
Answer:
A). reflexive
Step-by-step explanation:
The correct answer is reflexive. I know because I got it right on the Edge quiz. Trust me!
write a calculation and a result that represents a number that is 5 greater than 3
Step-by-step explanation:
vt7vy7v fyy7ctyxt6zqDg gj
Which of the following expressions is equivalent to (x + 5)2?
O A. (x + 5)(x + 5) + 10(x + 5)
OB. (x - 5)(x + 5) + 10(x + 5)
OC. (x + 5)(x + 5) + 10(x - 5)
OD. (x - 5)(x - 5) + 10(x - 5)
Please someone help me this texts is so important and I need it done by the end of today!
Answer:
B
Step-by-step explanation:
Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.
Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)
Solve the first piece (x-5)(x+5) by doing something like FOIL.
x^2-25
Do the second piece
10x+50
When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).
Tell whether the blue figure is a translation of the red figure.
The blue figure !
I a translation of the red figure.
Answer:it is a translation
Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid
Answer:
Yes
Step-by-step explanation:
Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.
83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
x²y + 2 xy² + 3x²y=?
Answer:
2xy(2x+y)
Step-by-step explanation:
What is the value of 6x power of 2 when x=1.5
Answer:6x=
2=
X=1.5
Step-by-step explanation:
Certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil?
Answer:
Step-by-step explanation:
Here is a picture of the answer, since I couldn't put into words!
The mass of 15 liters of oil is 13.65 kg.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
What is the density?Density is the ratio of the mass of the body to the volume of the body.
Density = Mass / Volume
Given that oil has a density of 0.91 grams per milliliter
To determines the mass, in kilograms, of 15 liters of this oil
Rearranging the equation,
Mass = Density × Volume
∵ 15 liters = 15000 milliliters (ml)
So, 0.91g/ml x 15000ml = 13650g
∵ 1 kilogram = 1000grams
⇒ 13650g / 1000g/kg
⇒ 13.65kg
Thus, the mass of 15 liters of oil is 13.65kg.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?
Step-by-step explanation:
Given
X+ 2 = 0
X = -2
on putting in polynomial
-8a +2b= 0
- 8a = 2b
b = -4a
Now
when divided by x - 1 give remainder -15
so
x - 1 = -15
x = -14
on putting in polynomial
-2744a + 198 + 14b - 4 = -14
-2744a + 56a = - 208
-2688a = -208
a = 168/13
Now
b = 672/13
what is an equation of the line that passes through the points (4,-6) and (8,-4)
Answer:
[tex]y = \frac{1}{2} x - 8[/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the gradient formula above,
[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]
Substitute the value of m into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x=4, y= -6,
-6= ½(4) +c
-6= 2 +c
c= -6 -2 (-2 on both sides)
c= -8 (simplify)
Thus, the equation of the line is y= ½x -8.
Help me guys! This question is hard for me
Answer:
should be answer A
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)