find the area of the isocele triangle formed by the points of intersection of parabolas y=-x^2+9 and y=2x^2-3 and the origin
Answer:
[tex]10\ \text{sq. units}[/tex]
Step-by-step explanation:
The parabola's are
[tex]y=-x^2+9[/tex]
[tex]y=2x^2-3[/tex]
So
[tex]-x^2+9=2x^2-3\\\Rightarrow 12=3x^2\\\Rightarrow \\\Rightarrow x=\sqrt{\dfrac{12}{3}}\\\Rightarrow x=\pm 2[/tex]
[tex]y=-x^2+9=-(2)^2+9\\\Rightarrow y=5[/tex]
[tex]y=-(-2)^2+9=5[/tex]
So, the points at which the parabola's intersect each other is [tex](2,5)[/tex] and [tex](-2,5)[/tex]
The three points of the triangle are [tex](2,5)[/tex], [tex](-2,5)[/tex] and [tex](0,0)[/tex]
Area of a triangle is given by
[tex]A=\dfrac{1}{2}[x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)]\\\Rightarrow A=\dfrac{1}{2}[2(5-0)+(-2)(0-5)+0(5-5)]\\\Rightarrow A=10\ \text{sq. units}[/tex]
Area of the triangle formed is [tex]10\ \text{sq. units}[/tex].
Simplify:
20x + 27y + 38y + 29x
Answer:
49x +65y
Step-by-step explanation:
add like terms
Translate this sentence into an equation. The product of Rita's savings and 9 is 153. Use the variable r to represent Rita's savings
Solve the equation 0.5x = 16 for x using the division property of equality.
x =
Answer:
32
Step-by-step explanation:
got it right on edge
The pentagon shown has 5 equal sides. The side lengths are represented by the expression 9k+4. What is the perimeter?
Answer:
5(9k+4)
45k+20
Step-by-step explanation:
You could add all the sides together or use distributive property and multiply the one side length by 5
Solve for the indicated measure for each of the following.
Answer:
x = 55°
Step-by-step explanation:
gcgjcgjcgcjgcjgjgccgjgcjcjgjgcjgcgjcgjc
(x ^ 3 - 13x ^ 2 + 40x + 18)/(x - 3) pls solve this
Step-by-step explanation:
tu lo que pusiste es falso
What is the solution to the equation (2 – 2) + 22 – 4 = 9?
Answer:18
Step-by-step explanation:2−2+22−4=9
18≠9
How do i solve this math question?
d/2=4
I do not fully understand.
Devon drove at the same speed for 4 hours. He drove a total of 120 miles,
How many miles did Devon drive in 1 hour?
Answer: 30
Step-by-step explanation:
Devon drove 30 miles in 1 hour because 120/4 is 30
what’s the solution
y = 8x – 2
y = 9x - 7
Answer:
The answer is (5, 38)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
~Hoped this helped~
Answer:
(5,38)
Step-by-step explanation:
Anexo 5
Martes 26 do Brero de 2021
Instrucciones del planteamiento y relacionals columnas, para ello encuentra el recuadro con la
tracción equivalente
Circo JONN
El circo JOMI, ha hecho una gira alrededor de todo el continente
Americano
El tiempo de gira se repartió de la siguiente manera, la cuarta
parte del circo estará en Argentina, 4/32 partes en Brasil, una
octava parte en Venezuela, la dieciseisava parte en Bolivia, 5/32
portes en Cuba, 8/32 partes en México y el resto en Guatemala
2
8
Partes del tiempo se
32 presentó en México
32
10
32
Partes del tiempo se
presentó en Cuba
64
2
La dieciseisava parte la
invirtió en Bolivia.
8
1
4 Partes del tiempo se
32 presentó en Brasil
8
2
1 Partes del tiempo se
32 presentó en Guatemala
64
2
Una octava parte del
tiempo estuvo en Venezuela.
16
To find 40% of 75, Priya calculates 25⋅75 . Complete the statement about whether her calculation gives the correct value for 40% of 75. Her calculation is , 1 of 4. Select Choice because 25 and 40% are , 2 of 4. Select Choice . b. If x represents a number, complete the statement about whether 25⋅x always represents 40% of that number. , 3 of 4. Select Choice because 25 are 40% are 4 of 4. Select Choice .
Answer:
See Explanation
Step-by-step explanation:
See comment for correct presentation of the question
Given
[tex]Expression = 40\% * 75[/tex]
[tex]Priya = \frac{2}{5} * 75[/tex]
Required
Is Priya correct?
We start by simplifying the expression.
[tex]Expression = 40\% * 75[/tex]
Express 40% as fraction
[tex]Expression = \frac{40}{100} * 75[/tex]
Simplify fraction: Divide numerator and denominator by 20
[tex]Expression = \frac{40/20}{100/20} * 75[/tex]
[tex]Expression = \frac{2}{5} * 75[/tex]
By comparing:
[tex]Expression = \frac{2}{5} * 75[/tex]
and
[tex]Priya = \frac{2}{5} * 75[/tex]
We can conclude that Priya is correct because:
[tex]40\% = \frac{2}{5}[/tex]
Urgentttt Workkk help
Answer:
3, 15
Step-by-step explanation:
1/10 of a unit also just means dividing by 10. 1/2 is just dividing by 2. Hope this helped!
Answer:
1/10= 3
1/2=15
Step-by-step explanation:
If the whole unit is 30, then one tenth of it would be three (3x10=30) and one half of it would be 15 (2x15=30)
Find the slope of the line.
Answer:
In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line
help!!!! pleaseee/.....
Answer:
I am not sure sowwy i hope you get it tho!!
Step-by-step explanation:
1_2_3_
Nate and some friends go to the fair. Nate spends 1/2 of his money on rides. He then spends $12 on food. At the end of the day, Nate has $1 left. The equation is 1/2d-12=1. How much money did Nate bring to the fair
Answer:
i can help u if u let me know whta the equation means
Step-by-step explanation:
Answer:
25$
Step-by-step explanation:
what is the meaning of altitude?
Answer:
1.
a settled way of thinking or feeling about something
Answer:
Altitude or height is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. The exact definition and reference datum varies according to the context.
Step-by-step explanation:
Which of the following shapes are used to compose this figure?
a
3 cm
triangle
trapezoid
circle
parallelogram
triangle trapezoidis the answer
Strawberries cost $3.60 per pound. You buy a bag that costs $7.20. How many pounds of strawberries are in the bag?
3.60 per pound
7.20 divided by 3.60 = 2
there are two pounds of strawberries in the bag!
Find the sum. Write the answer in its simplest form. -7.1+(-5.63)
Answer:
-12.73
Step-by-step explanation:
since you are adding a negative, it is the same as subtracting. subtract -7.1 from -5.63 to get -12.73. hope this helps
One apple is worth three oranges. Which equation below could be used to represent this relationship?
A. y = x + 3
B. y = 3x
C. y = x/3
D. y= x - 3
Answer:
y=3x. .................
PLEASE HELP ILL MAKE YOU BRAINLEST
A small particle has a mass of approximately 0.00000043 grams. How would this number be expressed in scientific notation? Select one: O A. 4.30 x 10-7 O B. 4.30 x 10-6 O C. 4.30 x 107 O D. 4.30 X 106
Answer:
1. 4.3x10^-7
2. the picture is cut off
PLEASE HELP ASAP!!
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The
total increase was 31.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 31.5 °F.
Answer:
equation: 3.5x=31.5
number of hours: 9
Step-by-step explanation:
31.5/3.5=9
Therefore,
x=9, x=number of hours, number of hours=9
Combine like terms and write an equivalent expression
with the fewest number of terms.
3x + 5x – 1
Can someone help me?
Answer:
8 + -1 here you go hope this helps
Solve for X
1) 8(1 + 5x) + 5 = 13 + 5x
Answer:
X=0
Step-by-step explanation:
[tex]8(1 \times 5x) + 5 = 13 + 5x \\ 8 + 40x + 5 = 13 + 5x \\ 40x + 13 = 13 + 5x \\ 40x - 5x = 13 - 13 \\ 35x = 0 \\ x = 35 \times 0 \\ x = 0[/tex]
The solution to the equation is x = 0.
Here, we have,
Let's solve the equation step by step:
Distribute the 8 to the terms inside the parentheses:
8 + 40x + 5 = 13 + 5x
Combine like terms on both sides of the equation:
40x + 13 = 5x + 13
Subtract 5x from both sides to isolate the variable terms on one side:
40x - 5x + 13 = 5x - 5x + 13
Simplifying:
35x + 13 = 13
Subtract 13 from both sides to isolate the variable term:
35x + 13 - 13 = 13 - 13
Simplifying:
35x = 0
Divide both sides of the equation by 35 to solve for x:
35x/35 = 0/35
Simplifying:
x = 0
Therefore, the solution to the equation is x = 0.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ6
After a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined? (Please EXPLAIN how you got it ;)
Answer:
30 problemsStep-by-step explanation:
Let the number of the problems the team could solve before is x.
Then we have:
x + 40% = 421.4x = 42x = 42/1.4x = 30They were able to solve 30 problems before the new mathletes joined
Answer:
[tex]\tt{}x = 30 \\ [/tex]
Step-by-step explanation:
[tex]\tt{}x + 40\% = 42[/tex]
[tex]\tt{}1.4x = 42[/tex]
[tex]\tt{}x = \frac{42}{1.4} [/tex]
[tex]\tt{}x = 30[/tex]
[tex] \\ \\ \\ [/tex]
[tex] \huge \orange{\boxed{ \fcolorbox{red}{blue}{ \: CarryOnLearning \: }}}[/tex]
The equation of the line graphed below is _____. Do not include spaces in your answer.
Answer:
X=5
Step-by-step explanation:
HELP ME FAST PLEASE!!!!!
Answer:
the first one
Step-by-step explanation:
kkrkrkrkrkrk
Answer:
(-4,1)
Step-by-step explanation:
What is the sum of 1/8+5/15+3/8
Answer:
pls give me brainliest
Step-by-step explanation:
0.83333333333
Answer:
5/6
Step-by-step explanation: