Answer:
[tex]\approx 13^\circ[/tex]
Step-by-step explanation:
Given two lines with the equations:
[tex]9x - y = 4\\ 8x + y = 6[/tex]
First of all, let us learn the formula for finding the angle between the two lines with given equations:
[tex]tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}[/tex]
[tex]m_1, m_2[/tex] are the slopes of the two lines respectively.
Let us convert the given equation to point intercept form.
Point intercept form of a line is given as:
[tex]y = mx+c[/tex]
[tex]y = 9x-4\\y =-8x+6[/tex]
Comparing with slope intercept form, we get:
[tex]m_1 = 9\\m_2 = -8[/tex]
Using the above formula:
[tex]tan\theta =\dfrac{9 -(-8)}{1+9(-8)}\\\Rightarrow tan\theta = -\dfrac{17}{71}\\\Rightarrow \theta = -13.46^\circ\\[/tex]
Therefore, the acute angle between the two lines is [tex]\approx 13^\circ[/tex]
The acute angles between the equations is 13.46 degree.
To find the acute angles between the two equation, let's write out the individual slope of each equation.
Given Data
9x - y = 48x + y = 6Equation of lineThe given equations can be rearranged into equation of line.
[tex]9x-y=4\\ y=9x-4\\ slope=m_1=9[/tex]
The second equation can also be rearranged as and solving for the slope
[tex]8x+y=6\\ y=6-8x\\ y=-8x+6\\ slope = m_2 = -8[/tex]
Since we have the slopes of the two equation, we can now find the acute angle between them.
θ = [tex]tan^-^1[\frac{m_1-m_2}{1+m_1m_2}]\\ [/tex]
substituting the values and solving for the angle
[tex]x = tan^-^1[\frac{9-(-8)}{1+(9*-8)}]\\ x = tan^-^1[17/-71]\\ x=-13.46 = 13.46^0[/tex]
The acute angle between the equations is 13.46 degree
Learn more about acute angle in equations here;
https://brainly.com/question/6979153
For questions 9 and 11, solve for the remaining angles.
Answer:
Side a = 442.85
Side b = 270
Side c = 255
Angle ∠A = 114.998° = 114°59'54" = 2.0071 rad
Angle ∠B = 33.544° = 33°32'37" = 0.58545 rad
Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad
Step-by-step explanation:
Side a = 442.85
Side b = 270
Side c = 255
Angle ∠A = 114.998° = 114°59'54" = 2.0071 rad
Angle ∠B = 33.544° = 33°32'37" = 0.58545 rad
Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad
*) Which of the following best forms the figure shown?
) 2 line segments that meet at an
endpoint
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 rays that meet at an endpoint
Answer:
how are we supposed to know what u talking about..
Step-by-step explanation:
if there is no PICTURE MWJAUBFNWAF
Answer:
2 lines that meet at the endpoint
Step-by-step explanation:
Jackson bought 555 ounces of raisins for $4 dollar sign, 4.
Answer:
138.75 ounces
Step-by-step explanation:
you can use long division or use a calculator... your choice
plsss help me out ! i’d appreciate it !
Answer:
Alright I’m solving right now
Step-by-step explanation:
Say on g this is what you will wish for if you only had 3 wishes
1. Unlimited money
2. Unlimited bx tches
3. More wishes
Step-by-step explanation:
Unlimited money
ay u know how it is with unlimited money
i buy arab countries with them oils innit
And buy a large shares of big companies like Microsoft ,Apple Tesla , SpaceX .. u name it
find each unit price which is the better buy explain electrical wire $1.89 for 3 ft 89 for 18 in
Answer:
It all comes down to simplifying it to inches and price so id 18 in” is 0.89 cent’s thats every inch of that 18 is about 4 cents a in” and a $1.89 3 feet is about 5 cent’s
Step-by-step explanation:
So is the first would be a better deal because it is one cent cheaper!
Need help this is urgent!!!
Answer:
5 units
Step-by-step explanation:
bc = ad
a. 792 432,795
What is 432,795 divided by 792
Answer:
the answer is 546.458333 or 546.46
Step-by-step explanation:
2) pplllllss hellppp
Answer:
A. -1 and 1/3
Step-by-step explanation:
The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them
Libby earns a mean of 92.9 points with a standard deviation of 5.5 points in her math classes and a mean of 90.3 with a standard deviation of 6.1 points in her history classes. Both distributions are skewed left. If a sample of 30 of her math scores and 31 of her history scores is randomly selected, what is the probability that her mean math score will be more than her mean history score?
0.0401
0.0686
0.9314
0.9599
Answer:
D. 0.9599
Step-by-step explanation:
the vertices of a triangle are listed below. R(1,5), S(4,-4), T(-5,-4) what is the area of the triangle? 81 square units. 20.25 units. 40.5 square units or 29.3 square units? please help
Answer:
40.5 square units
Step-by-step explanation:
the verticles form a triangle with a side 9 units and height that is 9 units as well. Its area is equal to 9*9÷2=40.5
Can you elaborate on the reason why we look for pairs of numbers or variables when we simplify square root expressions?
g(x)=3-x
what is
g(h^2) =
g(x+2)=
g(x)+g(2)=
The sum of 3 times d and e
Answer:
there isnt a picture
Step-by-step explanation:
Eight oranges cost $1.00. How much will 4 dozen oranges coste
Gm
Answer:
Step-by-step explanation:
if 8 oranges cost 1 dollars
4 oranges cost 1/2=0.50 cents
one dozen=4*3= 12 oranges
0.50*3=1.50 dollars/dozen
4 dozen=4*1.50=6 dollars
Cost = $6.00
EXPLANATION:
0 = 1 orange
0 0 0 0 0 0 0 0 = 8 oranges = $1.00
1 dozen = 12 (oranges)
4 dozens = 48 (oranges)
0 0 0 0 0 0 0 0 = $1 (1)
0 0 0 0 0 0 0 0 = $1 (2)
0 0 0 0 0 0 0 0 = $1 (3)
0 0 0 0 0 0 0 0 = $1 (4)
0 0 0 0 0 0 0 0 = $1 (5)
0 0 0 0 0 0 0 0 = $1 (6)
I divided the 48 oranges in groups of 8.
One group of 8 oranges equals $1.
There was a total of 6 groups of 8 oranges, without any leftovers.
The Total Is $6.
Lebron James makes 75% of his free throws. If he made 20 shots, how many free throws did he attempt?
Answer:
75/100×20
0.75×20
=15..............
Answer:
26 shots
Step-by-step explanation:
F(x) x2+1
What is f(f(x))
Step-by-step explanation:
(×) x ×2 + 1
x= 2+1
×= 3
3.2 +1 = x
6+1 = 7
×=7
F = (7)
Help pls I no it’s simple but I don’t understand pls look at the pictures or image pls pls number 1 pls
Answer: The answer would be No, Yes, No.
Step-by-step explanation:
Look at the grid, you can see that it has 100 units in all.
0.42 equals 21/50, so they are both wrong. The denominator would have to be 100. The only logical one would be the second one.
May someone help me pls
In a survey of 40,000 students approximately 5% of the students have five or more siblings. Approximately how many students have five or more siblings?
Answer:
C. 2,000 students
Step-by-step explanation:
Using the equation, 5% of 40000 = 0.05 × 40000 = 2000, I was able to find the CORRECT answer. 5% of 40,000 is 2,000 students. Hope this helps!
8^3-9×2÷3 I Need Help
Answer:
506
Step-by-step explanation:
Following PEMDAS you'd start with your exponent
8^3-9×2÷3
Then you'd move on to multiplication
512-9×2÷3
Then do the division
512-18÷3
Then finish the problem by subtracting these two
512-6
Answer:
506
Step-by-step explanation:
just follow PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
PLEASE HELP I WILL GIVE BRAINLIEST PLEASE HELP ME PLEASE PLEASE
Answer:
1. 2&1/2,0
2. -1 1/2, -1
3. r
Step-by-step explanation:
Answer:
i think p is 2.5,0 and t is -1.5, -1 i dont know the last one
Step-by-step explanation:
pls dont get if not right
Please answer this question it is due at 5:00
Answer:
Step-by-step explanation:
1) 40 +5b = 1240
2) 40 + 5b = 1240 {Subtract 40 from both sides}
5b = 1240 - 40
5b = 1200 {Divide both sides by 4}
b = 1200/4
b = $ 300
Graph for f(x)=6^6 and f(x)=14^x
Graph Transformations
There are many times when you’ll know very well what the graph of a
particular function looks like, and you’ll want to know what the graph of a
very similar function looks like. In this chapter, we’ll discuss some ways to
draw graphs in these circumstances.
Transformations “after” the original function
Suppose you know what the graph of a function f(x) looks like. Suppose
d 2 R is some number that is greater than 0, and you are asked to graph the
function f(x) + d. The graph of the new function is easy to describe: just
take every point in the graph of f(x), and move it up a distance of d. That
is, if (a, b) is a point in the graph of f(x), then (a, b + d) is a point in the
graph of f(x) + d.
As an explanation for what’s written above: If (a, b) is a point in the graph
of f(x), then that means f(a) = b. Hence, f(a) + d = b + d, which is to say
that (a, b + d) is a point in the graph of f(x) + d.
The chart on the next page describes how to use the graph of f(x) to create
the graph of some similar functions. Throughout the chart, d > 0, c > 1, and
(a, b) is a point in the graph of f(x).
Notice that all of the “new functions” in the chart di↵er from f(x) by some
algebraic manipulation that happens after f plays its part as a function. For
example, first you put x into the function, then f(x) is what comes out. The
function has done its job. Only after f has done its job do you add d to get
the new function f(x) + d. 67Because all of the algebraic transformations occur after the function does
its job, all of the changes to points in the second column of the chart occur
in the second coordinate. Thus, all the changes in the graphs occur in the
vertical measurements of the graph.
New How points in graph of f(x) visual e↵ect
function become points of new graph
f(x) + d (a, b) 7! (a, b + d) shift up by d
f(x) Transformations before and after the original function
As long as there is only one type of operation involved “inside the function”
– either multiplication or addition – and only one type of operation involved
“outside of the function” – either multiplication or addition – you can apply
the rules from the two charts on page 68 and 70 to transform the graph of a
function.
Examples.
• Let’s look at the function • The graph of 2g(3x) is obtained from the graph of g(x) by shrinking
the horizontal coordinate by 1
3, and stretching the vertical coordinate by 2.
(You’d get the same answer here if you reversed the order of the transfor-
mations and stretched vertically by 2 before shrinking horizontally by 1
3. The
order isn’t important.)
74
7:—
(x) 4,
7c’
‘I
II
‘I’
-I
I need helps pls :)
a painter mixed 1/8 quart of red paint with 7/8 paint to make purple paint. how much purple paint did the painter make.
Answer:
It made 8/8 or 1
Step-by-step explanation:
Red is being added to the purple but that makes more purple tho so....yea
Which expressions are equivalent to 4m + 12? Choose ALL that apply.
Answer:
Your answers are 6m-2m+12 and 4(m+3).
Step-by-step explanation:
This is because for 6m-2m+12, you are dealing with like terms. You are subtracting 6m-2m.
4(m+3) on the other hand, you are using the distributive property. You would carry the 4 to the m and to the 3.
Once you've done that with both of those expressions, they will both equal 4m+12.
Expression is a set of numbers, variables, and mathematical operations formed. The expression 4m+12 can be written as 4(m+3).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression 4m + 12, there are 2 terms and both of these terms have 4 as the common factor, therefore, we can write the expression as,
[tex]4m +12\\\\= 4m+(4 \times 3)\\\\ = 4(m + 3)[/tex]
Hence, the expression 4m+12 can be written as 4(m+3).
Learn more about Expression:
https://brainly.com/question/13947055
which equation represents a liner function?
I need help ASAP you have to find the area of the circle
Answer:
Step-by-step explanation:
A=πr^2 is the equation for the area of a circle. You are given the diameter, and the radius is just one half the diameter.
A = π8^2
A = 64π or 201.06
Answer:
A = \pi r^2
Step-by-step explanation:
to make this simpler i can solve this for you.
To insert the number into the equation you go like this,
A=(pi)r^2
The diameter is that whole line in the circle which is 16 and the r or radius is half the diameter so you would do 16/2, which equals 8. then you insert that into the equation.
A=(pi)8^2
8 to the 2nd power is 64
And im going to round pi to 3.14
so no the equation is
A=3.14*64
The area is 200.96 mi ^2 or rounded 201 mi^2
Consider the game of rock-paper-scissors to be a random experiment. How many outcomes are in the sample space of this random experiment
Answer: There are 9 outcomes in this experiment.
Step-by-step explanation:
Rock-Paper- Scissor is a simple game, in which Rock beats scissor, scissor beats paper, paper beats rock. If any two people made the same gesture it will be a tie.
So if two roommates are playing the game , total outcomes in the sample space = 3 x 3 [By fundamental principal of counting]
= 9
Hence, there are 9 outcomes in this experiment.
What is the value of 3 + 1 when n = 4?
13
7
8
12
Answer:
13
Step-by-step explanation:
3n=12+1=13