Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
What is the value of f(3) f ( 3 ) for the function f(x)=4x−1
Answer:
1
Step-by-step explanation:
f(x)=4x-1
3(x)=4x-1
3x=4x-1
3x-4x=-1
-1x=-1
x=1
Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?
what is cheaper 6lbs for $50.00 or 6.5lbs for $60.00
Answer:
6lbs for $50.00 is cheaper
Step-by-step explanation:
Answer$50
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $13.25, and tickets cost $31.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Step-by-step explanation:
13.25x + 31.50x≤155
44.75x≤150
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Y=5x+10 parallel and goes through in the point 4,10
Y=6∝-14
Step-by-step explanation:y=6x-14
Work:
Slope- 6
y-10=6(x-4)
y-10=6x-24
y=6x-14
HOPE IT HELPS YOU!!!!5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
What is the answer to the problem?
30 = -5(m + 6) + m
30=−5(m+6)+m
Step 1: Simplify both sides of the equation.
30=−5(m+6)+m
30=(−5)(m)+(−5)(6)+m(Distribute)
30=−5m+−30+m
30=(−5m+m)+(−30)(Combine Like Terms)
30=−4m+−30
30=−4m−30
Step 2: Flip the equation.
−4m−30=30
Step 3: Add 30 to both sides.
−4m−30+30=30+30
−4m=60
Step 4: Divide both sides by -4.
−4m
−4
=
60
−4
m=−15
Answer:
m=−15
517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
need help plzzzzzxsss
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?
Answer:
36
Step-by-step explanation:
so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.
Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6
Answer:
We want x We have a 30-60-90 triangle So we get [tex]2 \sqrt{3} [/tex]The value of 'x' will be;
⇒ x = 2√3
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now,
We know that;
⇒ tan θ = Perpendicular / Base
Here, Perpendicular distance = x
And, Base = 6
Substitute all the values, we get;
⇒ tan θ = Perpendicular / Base
⇒ tan 30° = x/6
⇒ 1/√3 = x/6
⇒ x = 6/√3
⇒ x = 2√3
Thus, The value of 'x' will be;
⇒ x = 2√3
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ2
anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have equal amounts?
Answer:
Anna and Ojo will have same amount after 13 days.
Step-by-step explanation:
Given that:
Anna has 300 naira
She saves 50 naira per day.
Let,
x be the number of days.
y be the amount saved
y = 50x + 300
Ojo has 1860 naira
He spends 70 naira per day.
Let,
x be the number of days
y be the amount left
y = 1860 - 70x
For equal amount, the equations will be equal
50x +300 = 1860 - 70x
50x + 70x = 1860 - 300
120x = 1560
Dividing both sides by 120
[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]
Hence,
Anna and Ojo will have same amount after 13 days.
the range of the quedractic function is {y|y
well I have no idea what that means but I hope you find your answer
Answer: The question is incomplete, Hope I could've helped.
Q2.
Sarah wants a music magazine each month for a year. She can
pay £3.50 each month
or
pay £37.20 for the year.
Sarah pays £37.20 for the year. How much cheaper is this than paying £3.50 each month?
Maybe 4.80
Step-by-step explanation:
In which of the following expressions is 5 a coefficient?
5y + 42
19x + 4y + 5
O x² + 4x2
Ox+3+2x X
Answer:
The first one
Step-by-step explanation:
I hope this helps with your answer :)
Answer:
The first one, 5y +42
Step-by-step explanation:
A coefficient is a variable with a number multiplied to it. Ex. 3y
Only in the first one is 5 a coefficient.
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
We do not have enough information to use this theorem. We only have one side and two right angles marked. Hence, you have your answer.
I am joyous to assist you at any time.
What is the linear inequality that represents the graph shown?
Answer:2/4
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
Answer:
y<-1/3x+3
Step-by-step explanation:
The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).
The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).
To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))
(0)>-1/3(0)+3 (0)<-1/3(0)+3
0>0+3 (0)<+3
0>3 0<3
The one to the right, 0<3, is true so the sign is a less than sign.
Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.
Image P is shown in the coordinate grid Image P is translated 2.5 units to the right and 3.5 units up to create image P'.
6
Image P
1
2 3
4
Which rule describes this transformation?
Answer:
Here we do not have the image P, but let's solve this in a general way.
Suppose that we have a point A (x,y)
If we translate the point A n units horizontally (where n can be positive, translation to the right, or negative translation to the left.)
The new point will be (x + n, y)
if we translate the point m units vertically (if m is positive the translation is upwards, if m is negative the translation is downwards), the new point will be (x + n, y + m)
Then if our figure was p (x, y)
The new figure is p(x + 2.5, y + 3.5)
So for every point in the figure, we need to add 2.5 to the x component, and 3.5 to the y-component.
Which point is the reflection of point E across the y-axis what are it’s coordinates ??
Answer:
Point J is the reflection, and the coordinates are (0,-2)
Step-by-step explanation:
Answer:
The reflection of point E across the y-axis is J(-2, 0).
Step-by-step explanation:
!!edmentum answer!!
What is the slope of the line i need help asap
Answer:
Step-by-step explanation:
is C -1/2
y=mx+b
2y=6-x
y=-x/2 +3
m=-1/2
3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.
1. Write the equation that models the height of the roller coaster.
a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2
b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root.
2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.
Answer:
Step-by-step explanation:
Part A
x^2 + y^2 = 30^2
I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).
Part B
y^2 = 900 - x^2
y = sqrt(900 - x^2)
Part C
The graph is actually y = - sqrt(900 - x^2)
That's the only model I can come up with
The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).
Perhaps it means graph15b. I can't really tell.
Any method to solve the quadratic equetion below over the set of complex numbers.
2x(x+6)=(x-4)(x+3)
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Answer:
The other guy is wrong. The correct answer is Option C.
Step-by-step explanation:
It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
a
Step-by-step explanation:
it won't be 5
nor 60
and it won't be 15
Brian has £98. Colin takes £y. How much is left?
£
Answer:
he has £98-y
Step-by-step explanation:
im not sure though
What’s the answer to this problem
Answer:
1.2075
Step-by-step explanation:
Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)
Answer: 1.2075
Step-by-step explanation:
multiply 0.69*1.75 and u will get 1.2075