Answer:
Step-by-step explanation:
The solutions are
x=2,x=3
Explanation:
x2−5x+6=0
Here we can first factorise the expression and then find the solution:
Factorising by splitting middle term
x2−2x−3x+6=0x(x−2)−3(x−2)=0(x−2)(x−3)=0
Equating the two factors with zero to obtain solutions:
x−2=0,x=2x−3=0,x=3
Answer:
x + 5x + 6
x + 3x + 2x +6
x(1 + 3) + 2(x + 3)
(x + 3) (x+2) = 0
x = -3 (or) x = -2
Find the total surface area of this prism where the cross-section is an isosceles triangle.
Answer:
620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:
B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:
C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is:
D = 10 * 13 = 130 cm2
The total surface area is:
S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
Factor as the product of two binomials. 36+12x+x^2=
Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²
15 POINTS + BRAINLIEST
true or false box plot questions
Answer:
b is false, idk about a the median is the middle line its 70 in this case
Answer:
a. true
b. false
Step-by-step explanation:
a. 2 parts of diagram are 50% and that's 62 - 70
b. median height is 70 in
Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,
what is x?
Answer:
[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}[/tex]
Decimal Form:
[tex]x = -267.38030...[/tex]
Step-by-step explanation:
[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14[/tex]
Remove Parentheses: [tex](-a) = -a[/tex]
[tex]-3^{\circ \:}x\left(-3\right)=-3\cdot \:14[/tex]
Multiply the numbers: [tex]3 * 14 = 42[/tex]
[tex]-3^{\circ \:}x\left(-3\right)=-42[/tex]
Divide both sides by: [tex]-3^{\circ \:}\left(-3\right)[/tex]
[tex]\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}[/tex]
Simplify:
[tex]x=-\frac{840}{180^{\circ \:}}[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
A restless point moved from point −1 to the left at the speed of 5 units per minute. Where will it be in 10 minutes?
Answer:
The answer is "-51"
Step-by-step explanation:
[tex]\ distance = 5 \frac{unit}{minute}[/tex]
[tex]\ moved \ point = \ time \times \ distance\\\\[/tex]
[tex]=10 \times 5 \\\\ = 50[/tex]
In this 50 unit left in point. So, total points which is left are:
[tex]\ moved \ point = point + \ calculated \ point (\ moved\ point)[/tex]
[tex]= -1 + -50\\\\=-51[/tex]
The graph of f(x) is given on the right. Which roots of f(x) have an odd multiplicity? -1 1 3
Answer:
-1
3
Step-by-step explanation:
Answer:
1. -1, 3
2. 4 could be a multiplicity of the root at x = 1.
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 32.
What is the age of the person who entered the room?
Answer:
52 years
Step-by-step explanation:
Since the mean age of 5 people in that room is 28 years,
∴ Sum₍₅₎= (28×5) years
= 140 years
Then, one person enters the room which makes the mean age 32 years.
∴Sum₍₆₎= (32×6)years
= 192 years
∴The age of the person who enters the room= (192 - 140) years
= 52 years
What is the arc length of a circle that has an 8-inch radius and a central angle that is 95
degrees? Use 3.14 for TT and round your answer to the nearest hundredth.
Answer:
13.26
Step-by-step explanation:
The formula for arc length is 2πr([tex]\frac{angle}{360}[/tex])
Then all you have to do, is sub your values into it
Compare the algebraically expressed function f(x) = 3x2 + 6x + 7 to the function shown in the graph to determine which statement is true.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 dollars because of expenses. In the first hour of the fundraiser they collect equal donations from 9 family members, which brings their balance to -44 dollars. How much did each parent give?
Answer:
Each family member gave $4
Step-by-step explanation:
(-44 - (-80))/9
36/9
4
What type of number is -16.2i
Answer:
Complex and imaginary number
Step-by-step explanation:
First, let's write the number[tex]-16.2i[/tex] in the form of [tex]a+bi[/tex].
[tex]0+ (-17)i[/tex]
Since [tex]-16.2i[/tex] can be written in the form of [tex]a + bi[/tex], where [tex]a[/tex] and [tex]b[/tex] are real numbers, it is a complex number.
Also, since [tex]a=0[/tex], it is also an imaginary number.
[tex]-16.2i[/tex] is complex and imaginary.
What is the nth term to this sequence 18,16,14,12
What is the nth term to this sequence 18,16,14,12 ?
Answer: 4
Explanation:
1. 18
2. 16
3. 14
4. 14
5. 12
6. 10
7. 8
8. 6
9. 4
Answer:
Hey!
The nth term for your sequence is -2!
Step-by-step explanation:
18 - 2 = 16
16 - 2 =14
And so on! (the nth term of a sequence is basically the differences between the different terms!)
HOPE THIS HELPS!!
There are 36 students in a class. If 4/9 of the
students are girls, how many girls are in the class?
Answer:
16
Step-by-step explanation:
All you have to do 4/9 of 36 which is 16.
Hope this helps!!
What is the value of the following expression if x = 22: "five times a number x,
decreased by 2"?
Answer:
108
Step-by-step explanation:
"five times a number x, decreased by 2" can be expressed as: 5x - 2
Now,
5x - 2 = 5*22 - 2 = 110 - 2 = 108
Someone please help me!!
Answer:
5. 37.065 square centimeters
6. 241 square centimeters
Step-by-step explanation:
5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.
The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.
The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.
If you add them all together, you get an area of 37.065.
6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.
You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.
The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.
Now, simply add the two areas together and you get an area of 241cm!
Expand if necessary,combine like terms (x+2) (x+2)
Answer: x^2 + 4x + 4
Step-by-step explanation:
Answer:
x^2 + 4x + 4
Step-by-step explanation:
We can do this first
(x + 2)^2
Then we can use our knowledge and do
x^2 +4.
We have to multiple the two by two and then x because that is a rule in
(a + b) ^2
=
a^2 + b^2 + 2ba
So we end up with x^2 + 4x +4
Create your own equation
Answer:
45+20=65
21+33=54
90+10=100
100+30= 130
Step-by-step explanation:
45+20=65
Doesn't belong as it has an odd numbered answer where as all the others have even answers
HOPE THIS HELPS
One hundred students vote for a drama, comedy, or action movie for a party. Drama gets one fifth of the votes. Action gets three times as many votes as comedy.
Write the vote totals. Tell which of these ratios correctly describe the results of the voting.
Answer:
:)
Step-by-step explanation:
What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = 0
A. Take the square root of both sides
B. Factor out a common factor
C. Divide both sides by c
D. Use the zero product rule
Answer:
A.
Step-by-step explanation:
Please help! Find the área of the triangle .
Answer:
a= 75 cm
Step-by-step explanation:
a= 10×15
150÷2
a= 75 cm
Answer:
67.97 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bc sinA
with b = 15, c = 10 and A = 115°, thus
A = 0.5 × 15 × 10 × sin115° = 75 × sin115° ≈ 67.97 cm²
A Lua reflete parte da luz solar que nela incide. Admite que: a luz refletida pela Lua demora 1,28 segundos a chegar à Terra; entre a Lua e a Terra, a luz percorre 300 000 000 de metros em cada segundo; o trajeto da luz é retilíneo. Determina a distância da Lua à Terra. Apresenta o resultado em metros, escrito em notação científica. Mostra como chegaste à tua resposta.
Answer:
3.84 * 10^8 meters
Step-by-step explanation:
As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:
Distance = speed * time
So we have that:
Distance = 300,000,000 * 1.28 = 384,000,000 meters
In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:
Distance = 3.84 * 10^8 meters
A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the length of each side is 6.5 inches. What is the area of each tile? Enter your answer in the box.
Answer:
A=9.75
Step-by-step explanation:
A=pq
___
2
A= 3 6.5
_____
2
A=9.75
Which angle pairs are supplementary
Answer:
the second, third, and last
Will mark as brainliest if correct
Answer:
Step-by-step explanation: 2 x2 =4
i am guessing it means 2 to the power of 2
Answer:
[tex]2\log _{10}\left(z\right)=4 : z=100[/tex]
Step-by-step explanation:
[tex]2\log _{10}\left(z\right)=4[/tex]
Divide both sides by 2:
[tex]\frac{2\log _{10}\left(z\right)}{2} =\frac{4}{2}[/tex]
Simplify:
[tex]\log _{10}\left(z\right)=2[/tex]
Use the logarithmic definition: If [tex]\log _{a}\left(b\right)=c[/tex] then [tex]b=a^c[/tex]
[tex]\log _{10}\left(z\right)=2 \Rightarrow \:z=10^2[/tex]
[tex]z = 10^2[/tex]
Simplify:
[tex]z =100[/tex]
Final answer:
[tex]z=100[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
If a 40-foot tree casts a 50-foot shadow, how tall is a tree that casts a 60-foot shadow?
Answer:
48
Step-by-step explanation:
40/50 = x/60
x= (40 x 60) / 50
6.The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Length of each of the equal sides is
Answer:
erm
Step-by-step explanation:
The sides will be:
6cm
6cm
4cm
Answer:
In isosceles triangle two sides are equal . Let the length be x .hence perimeter can be given as x + x + 6 . Therefore 2x + 6 = 16 . And 2x = 10 .and hence x =5 . So the length of each side is 5 cm
Step-by-step explanation:
Henry is diving off a diving board that is 7 above the water. After 2 seconds, he reaches his maximum
height of 9 above the water. What height will Henry be after 5 seconds?
(please post the solution as well)
Answer:
44 m
Step-by-step explanation:
I'll assume the 5 seconds is from the time he jumped off the board.
This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.
we use Newton's equation of motion.
We are given
initial velocity U at the height of 9 m = 0 m/s
acceleration due to gravity downwards g = 9.81 [tex]m/s^{2}[/tex]
distance covered S = ?
time of fall t = 3 seconds
we use S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = (0 x 3) + [tex]\frac{1}{2}[/tex](9.81 x [tex]3^{2}[/tex])
S = 0 + 44.145
S = 44 m
Ling walks 3/8 of the distance home from school in 9 minutes. She wants to know how long it will take her to walk the entire distance at the same speed. Ling uses the expressions 9 divided by 3/8 and 9 times 3/8 to find the answer. Explain what is wrong with Ling's expression and then write the correct solution.
entre 3/8 y 9 veces 3/8S
tep-by-step explanation:
What is the value of b? Round you answer to the nearest tenth
Answer:
23.01 = b
Step-by-step explanation:
Solve this using the Law of Cosines first: Find side length b.
b^2 = 22^2 + 28^2 - 2(22)(28)*cos 34 deg, or:
b^2 = 484 + 784 - 2(616)(0.593), or
= 1260 -730.576 = 529.424
Taking the square root of both sides, we get:
b = +√529.424 = 23.01 = b
Which of the following is(are) the solution(s) to 15x +21= 8?
Answer:
15x+21=8
subtract 21 from both sides
15x+21-21=8-21
simplify
15x=-13
divide both sides by 15
15x=-13
15 15
x=-13/15
Step-by-step explanation: