(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
50 points!!
Solve for x and y given the 2 triangles are SIMILAR
Answer:
x/3=4.5/1.5
1.5x=3*4.5
x=13.5/1.5
x=9
Step-by-step explanation:
7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C
Answer:
The area of the given polygon is:
232 cm^2Step-by-step explanation:
To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:
Area of a rectangle = Base * heightNow, we're gonna replace the measurements in the formula.
First rectangle:
Area of a rectangle = 3 cm * 14 cmArea of a rectangle = 42 cm^2Second rectangle:
Area of a rectangle = 5 cm * 14 cmArea of a rectangle = 70 cm^2Third rectangle:
Area of a rectangle = 12 cm * 10 cmArea of a rectangle = 120 cm^2By last, we must add the area of the rectangles:
Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2Area of the polygon = 232 cm^2As you can see, the area of the polygon in the picture is 232 cm^2.
PLEASE HELP ME PLEASE what is the answer besides 3
In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
[tex]f(x) = x - 3, g(x) = x^2[/tex]
Composite function:
The composite function is:
[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]
At x = 1
[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]
So
When x = 1, (f◦g)(x) is -2.
3.8.22
City planners want to construct a bike path
perpendicular to Bruckner Boulevard at point P. An equation for the Bruckner
Boulevard line is y=-x. Find an equation for the line for the bike path.
4
The equation of the line for the bike path is I.
(Simplify your answer. Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in th
Answer:
9
Step-by-step explanation:
1. Translate the figure: Right 5 and Up 4
Step-by-step explanation:
Right 5 and 4 =9 that is the answer
Toby collected data about the population of a town for five years. Toby's data was linear. Which table could be Toby's data?
the answer choices are A) A B) B C) C D) D
Answer:
ok, so the answer is table A
Step-by-step explanation:
USA PREP TESTTTTTT
good luck :)
If LK is a midsegment of hij, find x
Answer:
you forgot to post the pic
Step-by-step explanation:
Move each inequality to the table to match the appropriate situation describing x. HELPP FAST
Answer:
1. x < 10
2. x ≥ 10
3. x ≤ 10
4. x > 10
Step-by-step explanation:
1. Tiana read a book in less than 10 days.
Let
x = number of days Tiana read her book
x < 10
2. Charlie plans to run at least 10 miles this week
Let
x = number of miles Charlie plans to run
x ≥ 10
Jessica can spend at most 10 dollars on lunch
Let
x = amount of money Jessica can spend on lunch
x ≤ 10
Andre needs to buy more than 10 balloons for the party
Let
x = number of balloons Andre needs to buy
x > 10
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?
4 in.
12 in.
24 in.
36 in.
Answer:
36
Step-by-step explanation:
I used a triangle height calculator on G0ogle
If the base area is 162 square inches, then the height of the pyramid will be 36 inches. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions of 18 inches by 9 inches.
Then the height of the pyramid will be
The volume of the pyramid will be
Volume = (Base area x height) / 3
Then the base area will be
Base area = 18 x 9
Base area = 162 square inches
Then the height of the pyramid will be
1944 = (162 h) / 3
5832 = 162 h
h = 36
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
find the height of a triangle with an area of 156 square kilometers and a base that measures 24 kilometers
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?
Answer:
(d)
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 96t[/tex]
Required
The intercepts
The x intercepts are where the graph crosses x axis.
From the attached plot, they are:
[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]
These represent the start and end of the ball that is launched.
Hence, (d) is true
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints
Answer:
i think it 36 sorry if it wrong tho have a nice day
Step-by-step explanation:
ABC = DEF What corresponds with B?
Answer:
answer is C
Step-by-step explanation:
<E corresponds with B
Hope it helps you
Write an equivalent expression to show the relationship of multiplication and addition.
10+10+10
4+4+4+4+4+4+4
8×2
3×9
6m
d+d+d+d+d
PLEASE PLEASE PLEASE PLEASE HELP ME! Image below I Am Crying :((
Answer:
Its X-1
Step-by-step explanation:
Answer:
x= 5
Step-by-step explanation:
the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 12% are pennies and 34% are dimes. There are 7 more nickels than pennies. How much
money does the bag contain?
Answer:pennies: (0.12)(50) = 6
dimes: (0.34)(50) = 17
nickels: 6 + 2 = 8
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
Enter an integer to represent the situation.
an elevator ride down 35 stories
Answer:
-35
Step-by-step explanation:
this is a simple but confusing question
however,
since they said down the elevator, and the negative integers reduces, therefore we have our answer as
-35
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.
Answer:
the answer to this question is $2,350
Step-by-step explanation:
june has 30 days so $75 × 30 + $100 = $2,350
Sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = +2.
The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
What is local maxima and minima?Local Maxima →
If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.
Local Minima →
If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.
Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.
Refer to the graph of the function attached.
It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.
Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
To solve more questions on graph plotting, visit the link -
brainly.com/question/30098550
#SPJ1
Help pls… 50points
Referring to the figure, find m∠1.
5. Answer:
Referring to the Fig. in Question #4, find m∠2.
6 Answer:
Referring to the Fig. in Question #4, find m∠3.
7 Answer:
Referring to the Fig. in Question #4, find m∠4.
8 Answer:
Referring to the Fig. in Question #4, find m∠5.
9 Answer:
Referring to the Fig. in Question #4, find m∠6.
10 Answer:
Referring to the Fig. in Question #4, find m∠7
Answer:
Step-by-step explanation:
The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.
The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°
Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.
∠4 is corresponding to 30° so ∠4 is 30°
∠5 is corresponding to ∠1 so ∠5 is 150°
∠6 is corresponding to ∠2 so ∠6 is 150°
∠7 is corresponding to ∠3 so ∠7 is 30°
Hope this helps :)
Answer:
The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.
The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°
Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.
∠4 is corresponding to 30° so ∠4 is 30°
∠5 is corresponding to ∠1 so ∠5 is 150°
∠6 is corresponding to ∠2 so ∠6 is 150°
∠7 is corresponding to ∠3 so ∠7 is 30°
Hope this helps :)
Step-by-step explanation:
PLEASE HELPPP!!!!!!!!
Answer:
C. y=-3x+5
Step-by-step explanation:
Looking at the line, you see that it goes down 3 places for every unit step to the right, so the slope is -3 and we expect a -3x in the answer.
Looking at the intersection with the y-axis, it is at (0,5), so we expect -3x + 5.
We have to be at the left of this line, i.e. y < -3x + 5.
That's answer B.
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
Plz help me well mark brainliest if correct!!...
Answer:
The answer will be D
Have a great day :)
Answer: it would be D two of the fourth graders own two pets
Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets
Hope this helps :)
2 Find the area of the shape. Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal. units
Answer:
The problem is not provided so I cannot solve anything.
Step-by-step explanation:
Approximately 0.5% of computers in a shipment arrive broken. In a shipment of 20,000 computers, about how many will NOT be broken?
Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:
0.5% = 0.005
Multiply quantity by the decimal:
20,000 x 0.005 = 100 would be broken
20,000-100 = 19,900 would not be broken
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HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
2 3/7 - 5 6/7 Question I-Ready
Answer: I think so the answer is -3 3/7
HOPE THIS HELPS