Answer:
M(-5/2, -2)
Step-by-step explanation:
Add the x-coordinates & divide by 2.
Add the y-coordinates and divide by 2.
x-coordinates: -4, -1
(-4 + (-1))/2 = -5/2
y-coordinates: -8, 4
(-8 + 4)/2 = -4/2 = -2
M(-5/2, -2)
g(x)=√8x
What is the domain of g?
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
Answer:
Range D = {-7, 1, 9, 17}
Step-by-step explanation:
f(x) = 4x + 9
4(-4) + 9 = -7
4(-2) + 9 = 1
4(0) + 9 = 9
4(2) + 9 = 17
Determine the axis of symmetry of the parabola with x-intercepts at (4, 0) and (12, 0)
Step-by-step explanation:
hope it helps thank you❤
5 positive integers are arranged in ascending order, as follows:
1,9, 9, 10, X
The mean and the median are equal.
Find X.
Answer:
x = 16
Step-by-step explanation:
Since the numbers are in ascending order, x is the number with the highest value here.
From the arrangement, we can see that the median (the middle number) is the third number which is 9
The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median
We have this as;
(1 + 9 + 9 + 10 + x)/5 = 9
29 + x = 5(9)
29 + x = 45
x = 45-29
x = 16
What is the relationship between an angle of elevation and an angle of depression in a right triangle?
Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Answer:
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Step-by-step explanation:
correct on EDGE2021
No links, will mark brainliest!!
SA is the perpendicular bisector of TR . m
A) 45
B) 60
C) 39
D) 180
Answer:
if you are supposed to find m<STR, then the answer is B
Step-by-step explanation:
Answer:
i thinkits c
Step-by-step explanation:
based on the info given
Helpppp someone please
Given:
The graph of system of inequalities.
To find:
The system of inequalities.
Solution:
From the given graph it is clear that the shaded region is lies below the line y=10 and the boundary line y=10 is a solid line. So, the sign of inequality must be [tex]\leq[/tex].
[tex]y\leq 10[/tex].
The shaded region lies on the right side of the y-axis. So, [tex]x\geq 0[/tex].
Another boundary line passes through the point (0,1) and (1,2). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-1=\dfrac{2-1}{1-0}(x-0)[/tex]
[tex]y=1(x)+1[/tex]
[tex]y=x+1[/tex]
The boundary line [tex]y=x+1[/tex] is a dotted line and the shaded region lies above the boundary line, so the sign of inequality must be [tex]>[/tex].
[tex]y> x+1[/tex]
So, the required system of inequalities is:
[tex]y> x+1[/tex]
[tex]y\leq 10[/tex]
[tex]x\geq 0[/tex]
Therefore, the correct option is B.
Solve for X.
-3/2(x-2)=45/14
Please show work.
Answer:
-1/7
Step-by-step explanation:
-3/2(x-2)=45/14
x-2=(45/14)/(-3/2)
x-2=(45/14)(-2/3)
x-2=-90/42
simplify -90/42 into -15/7
x-2=-15/7
x=-15/7+2
x=-15/7+14/7
x=-1/7
Please decide !!!!!!
if demand is 75 lakh setup and holding cost is 29 and 35 number of piece per order is 2.3 lakh printing is done 300 days and delivery within 2 days what is eoq
A
64 :) i think
Step-by-step explanation:
Solve for x.
Help me please
Answer:
x = 24
Step-by-step explanation:
Mathematically, in a cyclic quadrilateral; two opposite angles are supplementary
what this mean is that the opposite angles add up to equal 180 degrees
mathematically, we have this as;
(4x + 9) + (3x + 3) = 180
4x + 3x + 3 + 9 = 180
7x + 12 = 180
7x = 180-12
7x = 168
x = 168/7
x = 24
the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms
Answer:
[tex]S_5=\dfrac{170}{9}[/tex]
Step-by-step explanation:
Given that,
The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]
We need to find the sum of the first 5 terms.
Put n = 5,
[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]
So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].
Kenneth ran a marathon (26.2) miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)
Answer:
4.8 miles per hour.
Step-by-step explanation:
Average speed=Total distance/Time taken
=26.2miles/5.5hour
=4.8 miles per hour
In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE
Answer:
In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .Graph the line with slope -5 and y-intercept 1.
Answer:y=-5+1
Step-by-step explanation:
increase 30 by 1/2
help please its urgent
Answer:
30.5 for decimal form and 30 1 /2 if mixed fraction needed
In the past year Maya watched 34 movies that she thought were very good. She watched 40 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
90 percent
Step-by-step explanation:
the fraction is 90/100 so the percentage is 90%
The equation of a line is 2(y + 1) = 10x + 3.
The y-intercept of the line is
, and the slope of the line is
Answer:
y intercept is (0,-0.5) and the slope is 5.
Step-by-step explanation:
Let's rewrite the equation in slope intercept form.
Step 1: divide both sides by two:
[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]
Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]
Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]
[tex]y=\frac{10x+3}{2}-1[/tex]
[tex]y = 5x - \frac{1}{2}[/tex]
❊ Simplify :
[tex] \large{ \bf{ \frac{x - 1}{ {x}^{2} - 3x + 2} + \frac{x - 2}{ {x}^{2} - 5x + 6 } + \frac{x - 5}{ {x}^{2} - 8x + 15 } }}[/tex]
[tex] \large{ \tt{ans : \bf{ \frac{3x - 7}{(x - 2)(x - 3)} }}}[/tex]
- Show your workings *
- Irrelevant / Random answers will be reported!
[tex]\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } [/tex]
[tex]\rule{200}4[/tex]
[tex]\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}[/tex]
[tex]\rule{200}4[/tex]
Answer:
Your solution ..................
10 points!!!!!:)
Describe the graph of the function.
[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).
pls help me:).
Answer:
b) y=sqrt(x) shifted 3 units left
Step-by-step explanation:
3rd line in the attached table:
f(x+3) = sqrt(x+3) horizontal translation left 3 units
I just need to know how I would be able to find x
Answer:
[tex]x=15[/tex]°
Step-by-step explanation:
The sum of degree measures in a full angle (a circle) is (360) degrees. This means that the sum of all of the angles in this diagram is (360) degrees, as the angles form a full arc. Therefore, one can form an equation by adding up all of the angles and setting the equation equal to (360) degrees. Then one can substitute each angle value with the equation that is used to represent it, simplify, and use inverse operations to solve for the value of (x).
[tex](m<AMB)+(m<BMC)+(m<CMD)+(m<AMD)=(360)[/tex]
Substitute,
[tex](46)+(4x-2)+(9x+6)+(8x-5)=360[/tex]
Simplify,
[tex](46)+(4x-2)+(9x+6)+(8x-5)=360[/tex]
[tex]21x+45=360[/tex]
Inverse operations,
[tex]21x+45=360[/tex]
[tex]21x=315[/tex]
[tex]x=15[/tex]
which algebraic expressions are polynomials
Answer:
last option
Step-by-step explanation:
3.9x3 -4.1x2+7.3
A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of the tank. Find the height of the tank. (1 liter is 1000cm3 )
Answer:
The tank is 10cm high
Step-by-step explanation:
Given
[tex]L=60cm[/tex] -- length
[tex]W=60cm[/tex] -- width
[tex]x = \frac{1}{5}[/tex] --- water lever
[tex]Addition = 24L[/tex]
Required
The height of the tank
Let y represents the remaining fraction before water is added.
So:
[tex]y + x = 1[/tex]
Make y the subject
[tex]y = 1 - x[/tex]
[tex]y = 1 - \frac{1}{5}[/tex]
Solve
[tex]y = \frac{5 - 1}{5}[/tex]
[tex]y = \frac{4}{5}[/tex]
Represent the volume of the tank with v
So:
[tex]y * v = 24L[/tex]
Make v the subject
[tex]v = \frac{24L}{y}[/tex]
Substitute: [tex]y = \frac{4}{5}[/tex]
[tex]v = \frac{24L}{4/5}[/tex]
[tex]v = 30L[/tex]
Represent the height of the tank with h;
So, the volume of the tank is:
[tex]v = lwh[/tex]
Make h the subject
[tex]h = \frac{v}{lw}[/tex]
Substitute values for v, l and w
[tex]h = \frac{30L}{60cm * 50cm}[/tex]
Convert 30L to cm^3
[tex]h = \frac{30*1000cm^3}{60cm * 50cm}[/tex]
[tex]h = \frac{30000cm^3}{3000cm^2}[/tex]
[tex]h = 10cm[/tex]
WILL MARK AS BRAINLIEST. PLS HLP MEEE
Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone?
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is
.
The solution to the inequality is
.
Sal’s mother would have to keep the second cell phone plan for at least
months in order for it to be less expensive.
Answer:
It will take 13 months for the second phone to be less expensive than the first phone.
Step-by-step explanation:
Since Sal is trying to determine which cell phone and service plan to buy for his mother, and the first phone costs $ 100 and $ 55 per month for unlimited usage, while the second phone costs $ 150 and $ 51 per month for unlimited usage, to determine how many months will it take for the second phone to be less expensive than the first phone, the following calculation must be performed:
100 + (55 x 10) = 100 + 550 = 650
150 + (51 x 10) = 150 + 510 = 660
100 + (55 x 12) = 100 + 660 = 760
150 + (51 x 12) = 150 + 612 = 762
100 + (55 x 13) = 100 + 715 = 815
100 + (51 x 13) = 150 + 663 = 813
Therefore, it will take 13 months for the second phone to be less expensive than the first phone.
Answer:
1) 100 + 55x > 150 + 51x
2) x > 12.5
3) 13
Step-by-step explanation:
Got it right on Edge :D
2.
What is the difference between the lower quartile rainfall of Florida and the lower quartile rainfall of Pennsylvania?
Answer:
0.5 inches
Step-by-step explanation:
The lower quartile is the value on the left side of the box plot
lower quartile for Florida = 3.5 inches
lower quartile for Pennsylvania = 3 inches
difference = 3.5 - 3 = 0.5 inches
Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10
Answer:
the answer is B
Step-by-step explanation:
-5(y-2)-7y
-5y-10-7y
+7y +7y
answer: 2y-10
Answer:
A. (-12y+10)
Step-by-step explanation:
-5(y-2) - 7y can be simplified to:
-5y + 10 - 7y when you factor the parenthesis.
If you add the y's together, the answer should be:
-12y + 10.
.
Question is in the photo*
Answer:
3x - y +5=0
Step-by-step explanation:
Slope:-
=> m = 2-8/-1-1 = -6/-2
=> m = 3
Using point slope form :-
=> y - 2 = 3 ( x - (-1))
=> y - 2 = 3x + 3
=> 3x - y +5 = 0
Answer:
y=3x+5
Step-by-step explanation:
first find the gradient
m=y2-y1/x2-x1
from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8
8-2/1-(-1)
=3
therefore the gradient is 3
after finding the gradient use the equation
y-y1=m(x-x1)
substitute x1,y1 and the gradient..y and x are constant
y-2=3(x-(-1))
y-2=3x+3
y=3x+3+2
y=3x+5
Find m20. The diagram is not to scale.
R
689
33°
Select one:
O a. 79
O b. 101
O c.
89
O d. 112
Can somebody answer this????
Answer:
x=46
Step-by-step explanation:
Isosceles triangle which means that the bottom two angles are equal. 180 degrees minus 88=92. Since there are two angles you divide 92/2 which gets 46.
Answer:
D
Step-by-step explanation:
two sides are equal.
so opposite angles are also equal.
x+x+88=180
2x=180-88=92
x=92/2=46°