Answer:
24
Step-by-step explanation:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x2 - 9x + 20
Step-by-step explanation:
y + 5x = x² + 10 Simplify this equation
- 5x - 5x
y = x² - 5x + 10
Set both equations equal to each other since they both equal y
x² - 5x + 10 = 4x - 10
-4x - 4x
x² - 9x + 10 = -10
+ 10 + 10
x² - 9x + 20 = 0
If this answer is correct, please make me Brainliest!
A triangle is formed with side lengths of 24 centimeters, 26 centimeters, and 10 centimeters. Is the triangle a right triangle? A) The triangle is a right triangle because 24^2+10^2=26^2. B) The triangle is a right triangle because 2(24)+2(26)=2(10) C) The triangle is not a right triangle because 10^2+26^2=24^2. D) The triangle is not a right triangle because 24^2-26^2=10^2
Answer:
A)
Step-by-step explanation:
676=676
During the first few years of a tree's life, its growth rate is linear. For example, an oak tree grows at a rate of 1.5 feet per year for the first twelve years. Mostafa plants a maple tree in his backyard and measures its height at 4 feet. Two years later, Mostafa measures the tree again and finds that its height is now 6.5 feet. Which statement is correct given this information?
Answer:
Mostafa's maple tree grows at a slower yearly rate than an oak tree.
Step-by-step explanation:
Given that:
An oak tree grows at a rate of 1.5 feet per year for twelve years;
After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.
Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.
i.e x years = 4 ft
two years later ; it height is now 6.5 ft
thus;
x year = 4 ft
x + 2 = 6.5 ft
[tex]6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2[/tex]
Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of 3.2
So;
if 3.2 year = 4 ft
1 year = x
x = [tex]\dfrac{4 *1 }{3.2}[/tex]
x = 1.25 ft
So if an oak tree grows at the rate of 1.5 ft in a year.
Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.
From the given information in the diagram attached below; we can infer that :
Mostafa's maple tree grows at a slower yearly rate than an oak tree.
Pls help me answer this if ur good at algebra. Thanks .
Answer:
Step-by-step explanation:
Answer of this question is 2
Answer:
Step-by-step explanation:
Please help and show work and steps
Answer:
I and III
Step-by-step explanation:
On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].
Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.
8
4
2
[tex]2\sqrt{2}[/tex]
Answer:
2√2
Step-by-step explanation:
r(t) = (2t, t²)
v(t) = dr/dt
v(t) = (2, 2t)
v(1) = (2, 2)
|v(1)| = √(2² + 2²)
|v(1)| = 2√2
If Quadrilateral JKLM is a square, where points J(-6, 0), K(?, ?), L(9, -1) and M(2, 7) are known. Find the coordinates of point K.
Group of answer choices
(-1, -8)
(5, -15)
(1,8)
(1, -8)
Answer:
-1 -8
Step-by-step explanation:
Answer:
(1,8)
Step-by-step explanation:
only point that doesn't go through other lines
Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
Answer:
2.8-5.4
Step-by-step explanation:
4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right
Find the distance between
(-1, - 3) and (8, – 3).
Answer: d (A,B) = 9
Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2
d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2
d(A,B) = √81 + 0
d(A,B) = 9
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.
Answer: it will take 5 hours to reach -1 °F.
Step-by-step explanation:
The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence(the starting point)
d represents the common difference.
n = x = the number of terms in the sequence(number of hours)
From the information given,
a = 0(at 1 pm, number of hours is 0)
d = - 4 degrees (it is decreasing)
Tn = -1 °F.
We want to determine the number of hours, x when Tn = -1 °F
Therefore,
- 1 = 0 + (x - 1)- 4
- 1 = - x + 4
x = 4 + 1
x = 5 hours
Order each set of the numbers from LEAST to GREATEST
0.23, 19%, 1/5
The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.
Answer: it is not a right triangle
12^2=7^2+10^2
144=49+100
144=149
To prove this we try the pitagor teorem which the largest side is the hypotenuse
It is not a right triangle.
We have given that,
The triangle has side lengths 7, 10, and 12.
What is the Pythagoraus theorem?
[tex]hypotenous^2=side^2+side^2[/tex]
12^2=7^2+10^2
144=49+100
144=149
The pitagor theorem which the largest side is the hypotenuse.
To learn more about the triangle visit:
https://brainly.com/question/2217700
#SPJ2
which of the following is equivalent to 5 cube root 13^3
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
A
Step-by-step explanation:
We are looking for 2 numbers with a product of -35 and a sum of -2. These are -7 and 5, so the factored version would be (w + 5)(w - 7), or A.
What is 20 divided by 2
Answer:
10
Step-by-step explanation:
10 x 2 = 20
10 = 20 / 2
Answer:
10
Step-by-step explanation:
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20
Aaron baked two identical cakes. He cut one into 9 equal
slices and the other into 18 equal slices.show that 2/3 of the 9-slice cake gives the same
number of pieces as 1/3 of the 18-slice cake.
Answer:
23
Step-by-step explanation:
Please help, thank you.
Answer:
Photoreceptors
Step-by-step explanation:
This is the answer but I don't see it on there . . .
Question:This is a light sensitive tissue that lines the back of the eye
Answer: Retina
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
Chitra is buying a TV. At A-Mart, the TV is on sale for $199, with 7%
sales tax. At B-Mart the TV is $299, but has a $100 mail-in rebate.
Sales tax of 7% is based on the full price. After the rebate, which is the
better deal?
5 point pls help
the best would be the first choice because it's 7 dollars less than the second choice
Seth's mother brought home 3/4 of a chocolate cake and 1/2 of a vanilla cake that was left from a party at her work. Seth ate 1/3 of the chocolate cake that was left. How much of the whole chocolate cake did he eat?
Answer:
1/4 of the cake.
Step-by-step explanation:
Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.
[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]
Therefore, he ate 1/4 of the entire cake.
Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet
Answer:
1 hour
Step-by-step explanation:
The mean age of 5 people in a room is 37 years.
A person enters the room.
The mean age is now 38.
What is the age of the person who entered the room?
my hegarty work lol im 2 lazy 2 answer
Answer:39?
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
+ Total age of 5 people: 37 x5 = 185
+ Total age of 6 people (when 1 person enters the room): 38 x 6 = 228
+ The age of the person who enter the room is: 228 - 185 = 43 age
Kendra made a scaled copy of the following square. She used a scale factor less than 111. What could be the side length of the scaled copy of the square.
Answer:
B,C,E
Step-by-step explanation:
khan academy
Side length of the scaled copy of square is smaller than original.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given,
Scale factor of scaled copy of square is less than 1.
Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.
if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.
Hence, side length of constructed square is smaller than the original square.
Learn more about scale factor here:
https://brainly.com/question/30215119
#SPJ2
What is the area of the composite figure
to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.
first, find the area of the triangle:
multiply 13 and 5 to get 65.
divide 65 by 2.
32.5.
then, find the area of the rectangle:
multiply 5 and 14 to get 70.
add those answers up, and you get:
102.5
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
Factor the perfect square trinomial 25x^2-60x+36
Since it is a perfect square trinomial, it is of the form:
a^2x^2-2abx+b^2 which simplifies to (ax-b)^2
Therefore:
sqrt(a)=sqrt(25)=5
sqrt(b)=sqrt(36)=6
Plug in a and b:
(ax-b)^2
(5x-6)^2
Test to make sure it did fit the formula:
-2abx=-60 (where x is 1)
-2(5)(6)=-60
-2(30)=-60
-60=-60
Answer:
(5x-6)^2
these 2 questions please will mark brainly
Answer:
[tex]28\sqrt{2}[/tex]
Step-by-step explanation:
To answer this question, you must split 98 into 2 factors:
98
2 49
7 7
2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:
[tex](7)4\sqrt{2}[/tex]
[tex]28\sqrt{2}[/tex]
Find the area of a rectangle with the given base and height 9ft , 3in
Answer:
324 in^2
Step-by-step explanation:
If you transfer the 9 ft to inches you get 108 in
108x3=324
Answer:
21
Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.
How to solve this question
Answer:
3 hours
Step-by-step explanation:
let h be the hours of tuition, then
11h + 8.5 ← models the cost of Leda's tuition
10.5h + 10 ← models the cost of Thanh's tuition
Equate the 2 and solve for h
11h + 8.5 = 10.5h + 10 ( subtract 10.5h from both sides )
0.5h + 8.5 = 10 ( subtract 8.5 from both sides )
0.5h = 1.5 ( divide both sides by 0.5 )
h = 3
Thus after 3 hours the price would be the same for both instructors
