Answer:
1/4a+3/4b
Step-by-step explanation:
OP=OA+AP
OA=a
AP=3/4AB
AB=-a+b
thus AP=3/4(-a+b) which is-3/4a+3/4b
OP=a-3/4a+3/4b thus 1/4a+3/4b
Given that h(x) = - (x - 1)^2 - 1, write an expression for f(x) in terms of x.
f(x) =
Answer: f(x) = -(x-1)^2+5
Explanation:
f(x) = h(x) + 6
f(x) = -(x-1)^2 - 1 + 6
f(x) = -(x-1)^2+5
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Find the length of UV. v(2,-1) u(1,-9)
Answer: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the length of UV, where:
U (1, -9) V (2, -1)[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance = \sqrt{(1-2)^2+(-9+1)^2}[/tex]
[tex]Distance = \sqrt{(-1)^2+(-8)^2}[/tex]
[tex]Distance = \sqrt{1+64}[/tex]
[tex]Distance = \sqrt{65}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Một người gửi tiết kiệm 100 triệu đồng theo kỳ hạn gửi là 1 năm. Sau 5 năm người người đó nhận được số tiền là 153,86 triệu đồng. Hỏi lãi suất người này gửi là bao nhiêu (lãi kép hàng năm):
Answer:
no
Step-by-step explanation:
Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.
Answer:
no its not a perfect cube, we need to multiply a seven to make it perfect cube
Step-by-step explanation:
answer from GAUTHMATH
help me with this math question please
Answer:
$44.00 + $85.00 = $129.00
Step-by-step explanation:
The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.
Movies and Shopping are less important.
Combine and simplify these radicals.
Answer:
4 sqrt(3)
Step-by-step explanation:
sqrt(3) * sqrt(16)
sqrt(3) *4
4 sqrt(3)
Answer: d
Step-by-step explanation: I took the test
what is the value of the smallest of five consecutive integers if the least minus twice the greates equals -3
A. -9
B. -5
C. -3
D. 5
Answer: (b)
Step-by-step explanation:
Given
There are five consecutive integers and the least minus twice the greatest equals to -3
Suppose [tex]x,x+1,x+2,x+3,x+4[/tex] are the five consecutive integers
According to the question
[tex]\Rightarrow x-2(x+4)=-3\\\Rightarrow x-2x-8=-3\\\Rightarrow -x=8-3\\\Rightarrow x=-5[/tex]
option (b) is correct.
salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages
Answer:
salini -= 5 years
mother = 40years
Step-by-step explanation:
[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]
[tex]5 = x[/tex]
then you equate the values of x
Can someone please check my answers and help/explain #4
Answer:
(0,8)
Step-by-step explanation:
To get the y-intercept put all x values equal to 0 (because we want to see where y lies on the graph when x is zero.
y=2^0+3
y=2^3
y=8
The y-intercept is (0,8)
As for the rest of the answers.....
1)A) 2[tex]\sqrt{12}[/tex]-5[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]-5[tex]\sqrt{3}[/tex] so the final answer is -[tex]\sqrt{3}[/tex]
1B) the problem is (3-[tex]\sqrt{7}[/tex])(3+[tex]\sqrt{7}[/tex]) a quick formula to help you solve this type of problem is (a-b)(a+b)= a^2-b^2 so you transform the question to 3^2-[tex]\sqrt{7}[/tex] ^2
to get 9-7 which is 3 therefore the final answer is 3
2) when you transform a function from y=x^2-3 to y=x^2+1 the graph moves 4 units up. So the final answer is b)4 units up
Question 3a and 3b are correct
Divide 3x^2 + 4x - 4 by x + 2.
A. x-2
B.x+ 6
C.3х – 2
D. 3x + 6
Answer:
C.
Step-by-step explanation:
C. 3x-2 is the answer .
Answer:
C.3х – 2
Step-by-step explanation:
Explanation is in the attachment
Hope it is helpful to you
Help with Pythagorean theorem
Answer:
45
Step-by-step explanation:
(27*27)+(36*36) = 2025
square root 2025 and you get 45
to check 45*45=2025
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?
Answer:
the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .
Step-by-step explanation:
Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4
Answer:
x^2+3x+3
Step-by-step explanation:
f(x) = 3x - 1
g(x) = x^2 + 4
f(x) + g(x) = 3x-1+ x^2 +4
Combine like terms
= x^2+3x+3
Please find the missing number for this surface answer! I will mark brainiest if correct! 1.
Answer:
2
Step-by-step explanation:
[tex](2 * 6x) + (2 * 7x) + (2 * (6 * 7)) = 136[/tex]
[tex]12x + 14x + (2 * 42) = 136[/tex]
[tex]12x + 14x + 84 = 136[/tex]
[tex]12x + 14x = 136 - 84[/tex]
[tex]26x = 52[/tex]
[tex]x = 2[/tex]
Nishi invests £3400 at 5% interest per year. Work out how much she will have altogether after: 3 years
Answer:
£510
Step-by-step explanation:
5% of 3400 is 170. SInce she gets that much money every year, after 3 years she'll have 3*170 = £510.
Answer: Simple Interest = PRT
P= 3400
R = 5% = 5/100
T = 3
=> 3400 × 5/100 × 3 = 510
=》3400 + 510 = 3910
Step-by-step explanation:
Solve the triangle. Round to the nearest tenth when neccesary or to the nearest minute as appropriate.
Answer:
Here is the detailed answer below
Step-by-step explanation:
Given point P=(2,-4), determine its transformation after it goes through the composite transformation
Show all your work. P"=(
)
PLEASE HELP
Answer:
(2,-7)
Step-by-step explanation:
The point moves down 3 units resulting in (2,-7)
a mean of μ = 78 points with σ = 9. She collects a sample mean of M = 84 for app users. What is the null hypothesis, in both words and symbols?
Answer:
M ≤ μ (=78)
Here μ denotes the means of the population
And, M denotes the sample mean
Step-by-step explanation:
The computation of the null hypothesis, in both words and symbols is given below:
Null Hypothesis(H0) is
M ≤ μ (=78)
This means that the study application does not improve the grades
Also
Alternative hypothesis (H1): M> μ
Here μ denotes the means of the population
And, M denotes the sample mean
factorise. X^5+X^4+1.
Answer:
Answer
5.0/5
2
poojamaurya21
Virtuoso
133 answers
14.9K people helped
Answer:
): "x2" was replaced by "x^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
x6 - x5 + x4 - x3 + x2 - x =
x • (x5 - x4 + x3 - x2 + x - 1)
2.2 Factor x5 - x4 + x3 - x2 + x - 1
Try to factor this 6-term polynomial into (2-term) • (3-term)
Begin by splitting the 6-term into two 3-term polynomials:
-x2 + x - 1 and x5 - x4 + x3
Next simplify each 3-term polynomial by pulling out like terms:
-1 • (x2 - x + 1) and x3 • (x2 - x + 1)
Note that the two simplified polynomials have x2 - x + 1 in common
Now adding the two simplified polynomials we get
(x3 - 1) • (x2 - x + 1)
X
45°
454
Find the value of x.
A.
B.
3.2
2
C. 3√2
D. 33
Save and Fyit
The number n is doubled and then has y added to it. The result is then divided by 2 and has the number n subtracted from it, the final result is
Answer:
[tex]\frac{y}{2}[/tex]
Step-by-step explanation:
n is doubled: 2n
y added: 2n + y
divided by 2: n + [tex]\frac{y}{2}[/tex]
n subtracted -> final resutl: [tex]\frac{y}{2}[/tex]
(PICTURE) please answer whatever you can Its really urgent
PLEASE ILL MAKE BRAINIEST!!!
If the dimensions of a rectangle ABCD are 15 x 12, what is the area of rectangle BEFD?
Answer:
The area of rectangle BEFD is 180 square units.
Step-by-step explanation:
After checking the figure given, we have the following information:
[tex]AD = 15[/tex], [tex]AB = 12[/tex], [tex]BC = 15[/tex], [tex]CD = 12[/tex]
By Pythagorean Theorem, we determine the length of the line segment BD:
[tex]BD = \sqrt{AB^{2}+AD^{2}}[/tex] (1)
[tex]BD = \sqrt{12^{2}+15^{2}}[/tex]
[tex]BD = 3\sqrt{41}[/tex]
In addition, we know the following characteristics of the rectangle BEFD:
[tex]BD = EF[/tex], [tex]EF = EC + CF[/tex], [tex]BE = FD[/tex] (2), (3), (4)
By Pythagorean Theorem:
[tex]BC^{2} = BE^{2}+EC^{2}[/tex] (5)
[tex]CD^{2} = CF^{2}+DF^{2}[/tex] (6)
By (3), (4), (5) and (6):
[tex]BC^{2} = BE^{2} + EC^{2}[/tex] (7)
[tex]CD^{2} = (EF-EC)^{2} + BE^{2}[/tex] (8)
By (7) in (8):
[tex]CD^{2} = (EF-EC)^{2}+ (BC^{2}-EC^{2})[/tex]
[tex]CD^{2} = EF^{2}-2\cdot EF\cdot EC + EC^{2}+BC^{2}-EC^{2}[/tex]
[tex]CD^{2} = EF^{2}-2\cdot EF\cdot EC +BC^{2}[/tex]
Then, we clear [tex]EC[/tex]:
[tex]2\cdot EF\cdot EC = EF^{2} + BC^{2} - CD^{2}[/tex]
[tex]EC = \frac{EF^{2}+BC^{2}-CD^{2}}{2\cdot EF}[/tex]
If we know that [tex]EF = 3\sqrt{41}[/tex], [tex]BC = 15[/tex] and [tex]CD = 12[/tex], then the length of the segment [tex]EC[/tex] is:
[tex]EC = \frac{75\sqrt{41}}{41}[/tex]
And the length of the line segment [tex]CF[/tex] is:
[tex]CF = EF - EC[/tex]
[tex]CF = 3\sqrt{41}-\frac{75\sqrt{41}}{41}[/tex]
[tex]CF = \frac{48\sqrt{41}}{41}[/tex]
And the length of the line segment [tex]DF[/tex] is determined by Pythagorean Theorem:
[tex]FD = \sqrt{CD^{2}-CF^{2}}[/tex]
[tex]FD = \sqrt{12^{2}-\left(\frac{48\sqrt{41}}{41} \right)^{2}}[/tex]
[tex]FD = \frac{60\sqrt{41}}{41}[/tex]
And the area of the rectangle is determined by the following formula:
[tex]A = FD\cdot EF[/tex]
[tex]A = \left(\frac{60\sqrt{41}}{41} \right)\cdot (3\sqrt{41})[/tex]
[tex]A = 180[/tex]
The area of rectangle BEFD is 180 square units.
someone answer this please
Answer:
720º
Step-by-step explanation:
To find the total amount of interior angles in any polygon, we have to use the formula, (n-2)*180.
Here, the n is the number of sides the polygon has. In this case, your polygon has 8 sides. Therefore it would be (8-2)*180 --> 4*180 = 720º.
Answer:
the answer is 720. Please give me brainliest
When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m
Answer:
B .62.5 m
Step-by-step explanation:
convert Kmh-1 in to ms-1
30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1
60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1
acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2
V^2 = U^2 +2aS
(16.6)^2 = (8.3)^2 + 2×1.66 ×S
S = 62.5 m
Need answers please
Answer:
C
Step-by-step explanation:
you are adding
-3√18=
-27
√16=4
-27+4=-23
One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.
Answer: C and D
Step-by-step explanation:
Using the logistic equation, it is found that options C and D are correct.
The logistic equation for population growth is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.For this problem, the equation is:
[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]
Which means that:
The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].Hence, options C and D are correct.
To learn more about the logistic equation, you can check https://brainly.com/question/25697660
What is 150% of 90?
please explain.
Answer: 135
Step-by-step explanation: Write 150% as 150/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 150/100 of 90= 150/100 X 90
Therefore, the answer is 135
If you are using a calculator, enter 150÷100×90 which will give you 135 as the answer.
150 percentage of 90 is 135 which we obtained by multiplying 1.5 with 90.
"Percent" means "per hundred," so when we say "150%," it means 150 per hundred or 150 out of 100.
To find 150% of 90, we can use the following formula:
150% of 90 = (150/100) × 90
Convert 150% to a decimal.
To do this, divide 150 by 100:
150/100 = 1.5
Multiply the decimal value by 90:
1.5 × 90
= 135
So, 150% of 90 is 135 which means that 135 is 150% of 90, which is equivalent to saying that 135 is 1.5 times larger than 90.
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Let 0° < a < 90°
Given: cos a=7/25
Find: sin a and cot a
The solutions are:
sin(a) = 24/25
tan(a) = 24/7
For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.
Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.
So we have:
x = adjacent cathetus
y = opposite cathetus
h = hypotenuse = √(x^2 + y^2)
Then the trigonometric relations become:
cos(a) = x/√(x^2 + y^2)
sin(a) = y/√(x^2 + y^2)
tan(a) = y/x
Now, we know that we have:
cos(a) = 7/25
then we can see that:
x = 7
and
h = 25 = √(7^2 + y^2)
We can solve the above equation for y:
25 = √(7^2 + y^2)
25 = √(49 + y^2)
25^2 = 49 + y^2
625 - 49 = y^2
√576 = y = 24
Then we have:
x = 7
y = 24
h = 25
Now we can return to our known trigonometric relations and get:
sin(a) = y/√(x^2 + y^2) = 24/25
tan(a) = y/x = 24/7
If you want to learn more about trigonometry, you can read:
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The definition of a circle
Answer:
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
Explanation:
Oxford dictionary definition
Step-by-step explanation:
a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center
