answer: -5x+12=20
-12 -12
-5x/-5= 8/-5
x= -1.6
Check: rewrite the orignal problem
plug your variable
write the product as a sum: 14cos(39x)sin(19x)
Recall that
sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
sin(a - b) = sin(a) cos(b) - cos(a) sin(b)
Adding these together gives
sin(a + b) + sin(a - b) = 2 sin(a) cos(b)
To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :
7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)
7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)
7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)
PLEASE HELP ASAP! Which of the following statements is true ?
x > z
x < z
x = z
Answer:
x < z is true
Answer:
x<z is true
Step-by-step explanation:
Which value in the set of values below is NOT a solution to the inequality 10- 2y ≥ 4?
Set: {1, 2, 3, 4}
1. 1
2. 2
3. 3
4. 4
Answer:
Option 4: 4 is the correct answer
Step-by-step explanation:
The given inequality is:
10- 2y ≥ 4
In order to check which value is not the solution to the inequality we have to put each value in the inequality. If the inequality is true for the value, it is the solution and it is not true then it is not the solution.
Putting y = 1
[tex]10-2y\geq 4\\10-2(1)\geq 4\\10-2\geq 4\\8\geq 4[/tex]
TRUE
Putting y=2
[tex]10-2y\geq 4\\10-2(2)\geq 4\\10-4\geq 4\\6\geq 4[/tex]
TRUE
Putting y=3
[tex]10-2y\geq 4\\10-2(3)\geq 4\\10-6\geq 4\\4\geq 4[/tex]
TRUE
Putting y=4
[tex]10-2y\geq 4\\10-2(4)\geq 4\\10-8\geq 4\\2\geq 4[/tex]
FALSE
The inequality is not true for y=4.
Hence,
Option 4: 4 is the correct answer
HELP!
the choices are: Function A has a greater slope than function B.
Function B has a greater slope than function A.
Answer:
Function A has a greater slope than function B.
Step-by-step explanation:
A's slope is 2x
write an equation of a line that passes through the point (3,-4) and is parallel to y=-5x+2
Cual es el conciente de 8)240
Answer:
30
Step-by-step explanation:
jehdnjdidndjdidi
Fill in the missing number to complete the linear equation that gives the rule for this table. Explain/show how you got your answer in
as much detail as you can.
Answer:
y = x - 1
Step-by-step explanation:
To create a linear equation in the slope-intercept form, which is in the form of y = mx + b, we need to find the slope/rate of change, m, and the y-intercept, b.
Rate of change can be calculated using two pairs, (3, 2) and (4, 3)
Rate of change/slope (m) = [tex] \frac{f(b) - f(a)}{b - a} [/tex],
Where,
b = 4
f(b) = 3
a = 3
f(a) = 2
Plug in the values
[tex] \frac{3 - 2}{4 - 3} = \frac{1}{1} [/tex]
m = 1
Plug in x = 3, y = 2 and m = 1 into y = mx + b
2 = 1(3) + b
Solve for b
2 = 3 + b
Subtract 3 from each side
2 - 3 = b
-1 = b
b = -1
Substitute m = 1 and b = -1 into y = mx + b.
y = 1(x) +(-1)
y = x - 1
The linear equation that gives the rule for this table is y = x - 1
Patterns plz help I’ll mark brainliest
Answer:
you add 4 each time
Step-by-step explanation:
Answer:
Pattern is Input • 4 + 1
Complete each congruent statement by naming the corresponding angles or side.
Answer:
blank 1: E
blank 2: R
blank 3: EC
blank 4: TS
HELP PLS JUST FIND THE CORRECT ANSWER:
Answer:
The first one
Step-by-step explanation:
Answer:
{ 1,2,3,4,5,6,7}
Help me out hereeeeeeeeeeeeeeeeeeee
Answer:
21 DIVIed by 3/7
Step-by-step explanation:
Answer:
12 stamps
Step-by-step explanation:
21 * 3/7 = 9 (to the sister)
21 - 9 = 12 (what he has left)
HELP HELP HELP help help
Answer:
C
Step-by-step explanation:
12(x-6)=2(x-9) solve the following equation
Answer:
x= 27/5
Step-by-step explanation:
If AB || CD and AC≅BD, is ACD ≅ CAB? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answer:B. Yes; the triangles are congruent by ASA.
Step-by-step explanation:
In triangle ACD and CAB, AB || CD and AC ≅ BD, B. Yes; the triangles are congruent by ASA.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given,
In triangle ACD and CAB, AB || CD and AC ≅ BD.
Therefore, The triangles ACD and CAB are congruent by ASA as ∠A is congruent to ∠C, Side AB is congruent to side CD and ∠B is congruent to ∠B.
learn more about congruency here :
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What is the measure of the third angle of a triangle if one angle measures 35 degrees and the second angle measures 40 degrees?
Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.
So let's first add up the measures of the two angles we know.
So we have 30 + 4 which is 75 degrees.
The missing angle will be equal to 180 minus 75.
So the missing angle measure is 105 degrees.
please help
Which linear regression equation best fits the given points?
(1, 0), (4, 5), (5, 12), (7, 16), (8, 25), (11, 22), (14, 32)
yˆ=25x+1.9
yˆ=−52x−1.9
yˆ=52x−1.5
yˆ=−25x+1.5
Answer:
I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)
Which of the following statements best describes the end of the decimal conversation of a rational number
Answer:
Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.
Step-by-step explanation:
Convert the fraction 7/12
to a decimal.
7/12=0.583¯
This is a repeating decimal.
The bar over the number, in this case 3, indicates the number or block of numbers that repeat unendingly.
what is one hundredth less than 0.549
Answer:
0.449
Step-by-step explanation:
one hundreth is this 0.100 so if u take that away from 0.549 u get 449
Reduce each ratio to its simplest form.
a. 17 : 102
b. 208⁄52
c. 54 to 2
d. 7 : 49
Answer:
a. 1 : 6
b. 4/1
c. 27 to 1
d. 1 : 7
Step-by-step explanation:
To reduce each ratio to its simplest form, find the greatest common factor(gcf) for both sides of the ratio and divide them by that number.
For example, in part a the greatest common factor is 17. Divide both sides of the ratio by 17:
17/17 = 1 and 102/17 = 6
The ratio becomes 1 : 6.
The gcf for part b is 52. The gcf for part c is 2 and the gcf for part d is 7.
A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations,
Answer:
The price of Apples is $3.30 and the price of Oranges is $2.
Step-by-step explanation:
So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.
1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30
1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30
Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.
1X + 1Y = 5.30 can become 1X = 5.30 - 1Y
Now substitute this into the other equation.
1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.
5.30 + 1Y = 7.30
Y = $2
Now that you have the Y value, replace it in one of the equations.
1X + 2$ = 5.30
1X = 3.30
The table below shows the commission for selling cameras in a
shop for one month.
For the first 20 cameras
$150 total
For every additional camera
$15 per camera
John received a $1,110 commission by selling cameras last
month. How many cameras did he sell last month?
cameras
Answer:
84
Step-by-step explanation:
You first do 1,110-150= 960 dollars.
Then you divide 960 by 15 dollars = 64 cameras
So the first 20 cameras plus the 64 cameras equal 84 cameras.
What is true about the graph of the line y = -3x + 4?
Answer: There u go ig
Step-by-step explanation:
Consider a square whose sides are of length x. Draw the largest circle that is completely contained within the square. Find the area of the region that is inside the square and but not inside the circle. Express your answer in terms of x and any other mathematical constants that may be necessary.
Answer:
A₁ = x²* ( 1 - π /2) square units
Step-by-step explanation:
Let´s call the area of the region that is inside the square but not inside the circle A₁
And the area of the square A(s)
And the area of the circle A(c)
Then the area we are looking for is:
A₁ = A(s) - A(c)
If the circle has a radius r then
A(c) = π*r²
A(s) = x²
In the square diagonal of the square is d = √ x² + x² ; d = √2 * x
Half of this distance is d/2 = (√2 /2)*x
There is a right triangle with points:
o The center of the square (which is the center of the circle)
a Any of the corners of the square
b Middle point of a side of the square
According to that
r the radius of the circle is:
r² + (x/2)² = (d/2)²
r² + (x/2)² = [ (√2 /2)*x]²
r² = (2/4)*x² - x²/4
r² = (x²/2) - x² / 4
r² = (1/2)*x²
r = x/√2
Then the area of the circle is
A(c) = π * r²
A(c) = π * x²/2
And A₁ = x² - π * x²/2
A₁ = x²* ( 1 - π /2) square units or A₁ =[ ( 2 - π)/2 ]*x²
What is 77/42 simplified into a fraction? My son needs help and he’s balling over it i feel very bad.☺️
Answer:
77/44 = 1 and 3/4
Step-by-step explanation:
77/44 can be simplified to 7/4 if you divide the numerator and denominator by 11.
4 can go into 7/4 1 time which leaves a remainder of 3/4
I hope this helped!
5/4 divided by 3/5= what fraction
Answer:
Improper fraction: 25/12
Mix number fraction: 2 1/12
Decimal: 2.083333333...
Step-by-step explanation:
5/4 divided by 3/5 is the same as 5/4 times 5/3
5 times 5/4 times 3
25/12
Answer:
25/12
Step-by-step explanation:
when dividing a fraction, you flip the divisor, so the 3/5 will become 5/3
when you flip the divisor, you flip the sign too, the sign right now is ÷
the opposite of ÷ is ×
so now you have 5/4 × 5/3
multiply the numerators: 5 x 5 = 25
multiply the denominators: 4 x 3 = 12
so now you have 25/12
this fraction cannot be simplified, so 25/12 is your answer
HELP WHATS THE SLOPE OF THE LINE PARALLEL TO 4x+2y=24
Answer:
slope of -2
Step-by-step explanation:
the slope of this equation is -2 and the parallel slope would be the same slope.
It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?
Answer: 43 messages
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
21.90/146=.15
6.45/.15=43
You and three friends order pizza for large drinks in a loaf of Chi's bread you split the cost evenly with your friends what order of operations would you use to find out how much each person would pay
Answer:
I believe it would be division.
Step-by-step explanation:
Sorry if its wrong, i havent done a question like this in a long time, please forgive me!
Write an equation in standard form that has a slope of -1 and passes through the point (-5, -1).
Answer:
x + y = -6
Step-by-step explanation:
Answer:
y = -x-6
Step-by-step explanation:
For this problem we use point-slope formula:
y-y1 = m (x2-x1)
When we plug in our values, it looks like this:
y-(-1) = -1 (x-(-5))
When we rearrange into slope-intercept form, we get this:
y = -x-6
HTH :)
If m∠ABD = 100 and m∠DBC = 30, then m∠ABC=?
The measure of angle ABC is 130 degrees
How to determine the measure of ABC?The angles are given as
ABD = 100
DBC = 30
The measure of angle ABC is calculated using
ABC = ABD + DBC
So, we have
ABC = 100 + 30
Evaluate the sum
ABC = 130
Hence, the measure of angle ABC is 130 degrees
Read more about angles at
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Answer: CD=AD
Step-by-step explanation: i have a tutor for math and he helped me plus i took the test in flvs and its right