Answers
Answer:
x is 90 degrees.
Whenever you see a straight line or a square where the missing number is, that usually indicates a right angle. Otherwise, that is a special function. That should not be the case, however.
Related Questions
Two functions are f(x) = (2x+5)/8 and g(x) 3x-4. If inverse of (fog)(x) is an identity function, find the value of x
Answers
Answer:
if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Step-by-step explanation:
The value of variable x is,
⇒ x = - 3/2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Two functions are;
⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.
Here, The inverse of (fog)(x) is an identity function,
Hence, We get;
⇒ (f o g) (x) = f (g (x))
= f (3x- 4)
= [ 2 (3x - 4) + 5 ] / 8
= (6x - 8 + 5) / 8
= (6x - 3) / 8
Thus, The inverse of (fog)(x) is,
⇒ (f o g) (x) = (6x - 3) / 8
⇒ y = (6x - 3) / 8
Solve for x;
⇒ 8y = 6x - 3
⇒ 8y + 3 = 6x
⇒ x = (8y + 3) / 6
⇒ (f o g)⁻¹ (x) = (8x + 3) / 6
Here, The inverse of (fog)(x) is an identity function, \
Hence, We get;
⇒ (f o g)⁻¹ (x) = x
⇒ (8x + 3) / 6 = x
⇒ 8x + 3 = 6x
⇒ 8x - 6x = - 3
⇒ 2x = -3
⇒ x = - 3/2
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Rewrite the equation in slope-intercept form.
x - 19y = 4
Answers
Answer:
[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]
Step-by-step explanation:
[tex]x - 19y = 4[/tex]
Slope intercept form :
y= mx+b
Where ;
m = slope
b = intercept
[tex] - 19y = - x + 4[/tex]
Divide through by -19
[tex] \frac{ - 19y}{ - 19} = - \frac{x}{ - 19} + \frac{4}{ - 19} [/tex]
Simplify
[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]
Answer:
y = (1/19)x - (4/19)
Step-by-step explanation:
x-19y=4
19=m(slope) write it as 1/19
write 4 as 4/19(represents b or y-intercept)
y=mx+b
m=(1/19)
b=(4/19)
Plug in those numbers into the equation to get: y = (1/19)x - (4/19)
I hope that wasn't too confusing. LOL
Hope this helps!
Ryan decided to ride his bicycle X times around the neighborhood. His best friend
Tommy decided to ride his bicycle 4 times more than what Ryan rode. After they each
rode by themselves, they rode 8 times together around the neighborhood. Write an
expression to find out the total number of times they both rode around the
neighborhood
2x - 10
5x - 7
5x + 8
6x-3
Answers
5x + 8
easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3), v = 5i + 10j
Answers
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex].
How to calculate the directional derivative of a multivariate function
The directional derivative is represented by the following formula:
[tex]\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v[/tex] (1)
Where:
[tex]\nabla f (r_{o}, s_{o})[/tex] - Gradient evaluated at the point [tex](r_{o}, s_{o})[/tex].[tex]\vec v[/tex] - Directional vector.The gradient of [tex]f[/tex] is calculated below:
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right][/tex] (2)
Where [tex]\frac{\partial f}{\partial r}[/tex] and [tex]\frac{\partial f}{\partial s}[/tex] are the partial derivatives with respect to [tex]r[/tex] and [tex]s[/tex], respectively.
If we know that [tex](r_{o}, s_{o}) = (1, 3)[/tex], then the gradient is:
[tex]\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right][/tex]
If we know that [tex]\vec v = 5\,\hat{i} + 10\,\hat{j}[/tex], then the directional derivative is:
[tex]\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right][/tex]
[tex]\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}[/tex]
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]
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The length of the unknown leg is
Answers
Answer:
21
Step-by-step explanation:
29 squared then 20 squared
subtract them
then get the squared root
and then you have 21
can I have help please
Answers
Step-by-step explanation:
Given: Two congruent sides, (DE and EF). Anlge. E is 36.
Let angle F be x°.
According to the base isoceles triangle theroem,
Two angles are equal if the sides they are opposite from are equal.Since Angle F is opposite from DE and Angle D is opposite from EF, and DE=EF.
Angle D = Angle F.
So using transitive property, Angle D is x°. as well.
All angles in triangles add up to 180 so
[tex]36 + x + x + = 180[/tex]
[tex]36 + 2x = 180[/tex]
[tex]2x = 144[/tex]
[tex]x = 72[/tex]
So angle F is 72°.
Since DF is opposite from 36°, the shortest angle, DF is the shortest side.
x : y = 1 : 5
a) y=5x
b) y = x/5
c) y = x - 4
d) y = x + 4
Answers
Answer:
y=5x
Step-by-step explanation:
please mark me as brainlest
Answer:
a) y = 5x
Step-by-step explanation:
Given :-
x : y = 1 : 5
Solving :-
x/y = 1/5
y = 5x
Solution :-
a) y = 5x
Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at 4/5 inch per hour. The snow continues at this rate for 10 hours. What is the ratio of the amount of snow in inches to the amount of time in hours? *
Answers
Answer: 8 inches: 10 hours
Step-by-step explanation:
From the above question, we are informed that during the last snow storm, the snow accumulated at 4/5 inch per hour and that the snow continues at this rate for 10 hours.
The the ratio of the amount of snow in inches to the amount of time in hours first thus:
We have to calculate the amount of snow in inches first. This will be:
= 4/5 × 10
= 8 inches
Therefore, the the ratio of the amount of snow in inches to the amount of time in hours will be 8 inches for 10 hours
Is anyone able to help me with finding the volume of the triangular prism
Answers
Answer:
The answer is 1456
Step-by-step explanation:
Ok so what you have to do is take the 18 and the two 12s and you have to multiply then you have to square it and now i wasted your time and this is payback for deleting my post so no i cant help u with that
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph. How much time passes until the trains are 600 mph apart
Answers
Answer:
4 hours
Step-by-step explanation:
I hope this helps :)
4√30^2 times 3√20x
(i will mark you brainliest if you answer this correctly)
Answers
Answer:
720[tex]\sqrt{5x}[/tex]
Step-by-step explanation:
First you want to simplify both of them. To do this on 4[tex]\sqrt{30^{2} }[/tex] you can just cancel out the square and the square root to get 4 x 30 which is 120. Now you simplify 3[tex]\sqrt{20x}[/tex] you do this by splitting the radical into 2 radicals. So you want to take out a perfect square which in this case is [tex]\sqrt{4}[/tex] and you have [tex]\sqrt{5x}[/tex] left over. This brings us to 120 x 3 x 2 (2 is the square root of 4) [tex]\sqrt{5x}[/tex]. Now multiply 120 x 3 x 2 and get 720[tex]\sqrt{5x}[/tex].
The highest common factor of 2x2 yz, 4xy2 z, 8xyz2
Answers
[tex]\longrightarrow[/tex]Let us write all expression in factorised form .
[tex]\sf 2x^2yz = \underline{2}\times \underline{x} \times x \times \underline{y} \times \underline{z}[/tex][tex]\sf 4xy^2z= \underline{2} \times 2 \times \underline{x} \times \underline{y} \times y \times \underline{z} [/tex][tex]\sf 8xyz^2= \underline{2} \times 2 \times 2 \times \underline{x}\times \underline{y} \times \underline{z} \times z [/tex][tex]\leadsto[/tex] Common factors are 2,x,y,z and their product will give us highest common factor
[tex]\implies \sf 2\times x\times y \times z[/tex]
[tex]\implies \sf 2xyz[/tex]
please check picture!!!!!
thank you
Answers
you need to find degrees and the radius of the circle
Find the value of x:
Answers
Answer:
x = 54°
Step-by-step explanation:
Since there are 180 degrees in a triangle, all you would do is add up the angles that you already have. In this case, you would do 64 + 62, which is 126. Then you would do 180 minus the sum of the other two degrees to find x. 180 - 126 = 54, so 54 is the value of x.
Hope this helps!!
Harlan makes a snack mix with proportional amounts of cereal and popcorn. The graph shows how much popcorn he uses with different amounts of cereal to make the snack mix.
How many cups of popcorn does Harlan use per cup of cereal?
cups
How many cups of cereal does Harlan use per cup of popcorn?
cups
Answers
Answer:
2 cups of popcorn and 1/2 cups of cereal per cup
Step-by-step explanation:
khan told me
Pedro has a credit score of 895 and Bettina has a score of 768. A banker has decided that they both get a credit card; however, the borrower with the worst credit score will be charged an extra fee of $50.00. If they both receive a credit card with $1,500.00 credit, how much credit will Pedro have left after buying a bicycle for $425.00?
I NEED HIS CREDIT SCORE
Answers
Answer:
1075$ left
Step-by-step explanation:
1500-425
choose for brainliest if this helped pls!
What is the midpoint of the segment below?
O A. (-1.1)
O B. (0.5, -0.5)
O c. (0,0)
O D. (0.5, 0.5)
Answers
B.
Step-by-step explanation:
to find the midpoint the formula is
[tex]( \frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]
so use the points provided and substitute them in to the formula!!
(-4,-7) = (x1, y1) (5,6) = (x2, y2)so now it would look like this inside the formula
and then you'll just solve that !!
[tex]\frac{5 + ( - 4)}{2} = \frac{1}{2} = 0.5[/tex]
so we know x = 0.5 now, solve for y
[tex]\frac{6 + ( - 7)}{2} = \frac{ - 1}{2} = - 0.5[/tex]
and we now know y = -0.5
point form (x,y) and you're all done !!
and this is why the answer is B. (0.5, -0.5)
Calculate the pay for the following day of a weekly time card given a wage of $ 12/hour.
Answers
Answer: $714
Step-by-step explanation:
Find the time distances between both of the times, one being 4 hours and one being 4 hours and 30 minutes. Now multiply 4x12 and 4.5x12. You get 48 and 54. Add these together and get 102. Now multiply 102 by the numbers of the week (7) and you get 714. With this knowledge you now know that is is $714
5. You can order video games from a company for $25 a
game, plus a $35 service charge for the entire order. If you
have $260, how many games, g, can you order?
Answers
Answer:
Step-by-step explanation:
25g + 35 = 260
25g = 225
g = 9 games
Which is a unit rate?
12 inches to 1 foot
3 hours to 1 hour
3 books for $10
4 cats to 3 dogs
Answers
Answer:
3 books for 10$
Step-by-step explanation:
Answer:
3 books for $10
Step-by-step explanation:
NEED HELP PLEASE ASAP
Answers
Answer: 45?
Step-by-step explanation: because a perfect corner is 90 degrees so if you split that, you will get 45!
Find the measure of c°.
21°
159°
100.5°
60°
Answers
By the concepts of the transversal line we obtain the measure of angle c is 21°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram angle opposite to the 159° must also be 159° and it is the measure of angle b.
We know, The sum of pair of angles in a straight line is 180°.
Therefore, m∠C = 180° - 159°.
m∠C = 21°.
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write the equation in slope intercept form. what are the slope and y intercept -5x-12y=11
Answers
And the y-intercept is (0, -11/12)
Answer:
y = [tex]-\frac{5}{12} x[/tex] Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}[/tex].
Step-by-step explanation:
-5x - 12y = 11 Add 5x to each side.
-12y = 5x + 11 Divide each side by -12.
y = [tex]-\frac{5}{12} x + (-\frac{11}{12} )[/tex] Change the + to -.
y = [tex]-\frac{5}{12} x - \frac{11}{12}[/tex]
Slope intercept form is y = mx + b, so slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}.[/tex]
I need answers pls!!!!!!! :)
Answers
Answer:
Directly proportional, 2:3
Step-by-step explanation:
Directly proprtional as when one increases, so does the other.
2:3 because for every 2 notes there are 3 backbeats.
EiiekwkwkqHElp NOWSKKSKSKSKSKSKAKMAMQOQKWOWSKAKAK
Answers
Answer:
The answer is D or 13/36
Step-by-step explanation:
Line segment MN has a midpoint of (7, 3. 5). Point N is located at (14, 7). What are the coordinates for point M?
(0. 0)
(10. 5, 5. 25)
(21. 10. 5)
(26, 14)
Answers
Answer: Start with the midpoint, G(10,8), and move your pencil point 4 units to the left and 1 unit up to reach the endpoint M(6,9). To find the other end point, start with the midpoint G(10,8) again, but now move your pencil point 4 units to the right and 1 unit down. Result: N(14,7).
Check: find the mean of the 2 x-coordinates: Does (6+14)/2 = 10, the x-coordinate of the midpoint? YES. Does (9+7)/2 = 8, the y-coord. of the midpoint? YES.
The desired other end point is therefore N(14,7).
Explanation: the standard coordinate plane, what is the midpoint of a line segment that goes from the point (3, 5) to the point (7, 9)?. Possible Answers: (–2, –2). (7, 5).
Taylor makes necklaces and bracelets to sell at local craft fairs. If 65% of the jewelry she made today was necklaces, and she made 200 total pieces, how many necklaces did she make? How many bracelets did she make?
Answers
Answer:
d
Step-by-step explanation:
2 inches on the map represents 0.5 miles on the ground. Find the scale ratio.
Answers
Step-by-step explanation:
far eastern coastal Seva inside and out of love
find the equation of the line parallel to y= 6x+7 with a y-intercept of 8
Answers
Answer:
y=6x+8
Step-by-step explanation:
Since the lines are parallel, the slopes are the same. Once you have y=6x+b, you plug in (0,8) as the y-intercept and find that b=8.
A right angle is divided into two angles, creating ∠1 and ∠2. ∠1 and ∠2 are _______.
Answers
Answer:
45
Step-by-step explanation:
A right angle is ALWAYS equal to 90 degrees. If it is divided equally to two angles then both will be 45 degrees.
90/2=45.
Answer:
Complementary(word) 45(number)
Step-by-step explanation:
If any two angles were to make up a 90° angle (aka right angle), they would be complementary because complementary angles add up to a 90° angle.
90/2 = 45°
Where 2 represents the two angles that make up 90°
And 90 meaning the total of the right angle.