Answer:
3 + 9x = 11x - 7
simplify
9x + 3 = 11x - 7
subtract 11x from both sides
-11x -11x
-2x + 3 = -7
get rid of constants first by subtracting by 3 from both sides
-3 -3
-2x = -10
divide both sides by -2 since that is the inverse operation of multiplication
/-2 /-2
X = 5
Answer:
x=5
Step-by-step explanation:
Hi, first the thing to do here is simple,
step 1, collecting like terms
3+9x=11x-7
11x-9x=3+7
2x=10
then divide both by 2.
x= 5
Value ofc -x^2+3x+c=0
Answer:
they are the values of the 3 coefficients.
Step-by-step explanation:
if a = 3 and b=2,find the value of a square+2ab and (a+b)square
Answer:
a^2+2ab = 21
(a+b)^2= 25
Step-by-step explanation:
(a+b)^2 = a^+2ab+b^2
sub a=3 and b=2 and simplify
solve the triangle. Round decimal places to the nearest place
) Con robot của bạn An được lập trình có thể đi thẳng, quay trái hoặc sang phải một góc 900. Trong cuộc thi "Phát động tài năng ", con robot của bạn An xuất phát từ điểm A đi thẳng 4m, rồi quay sang trái đi thẳng 3m, sau đó quay sang phải rồi đi thẳng 4m, rồi tiếp tục quay sang trái đi thẳng 3m đến B. Hãy tính khoảng cách AB .
Step-by-step explanation:
chắc là nó như này à :>♡♡♡
Find the missing term in the proportion:
1/y = 4/11
y=?
Answer:
2.75, or 2 3/4
Step-by-step explanation:
Cross multiply first to get:
4y = 11
Divide by 4 on both sides
y = 2.75
Now, simplify to a mixed number or keep it as a decimal to get 2.75, or 2 3/4.
Hope this helps!
If there is something wrong, just let me know.
Answer:
2.75
Step-by-step explanation:
1/y = 4/11 cross multiply the expressions
4y = 11 divide both sides by 4
y = 2.75
In a right triangle, two sides are 12 and 13. Find the measure of the third side. Consider all cases.
Answer: Approximately 17.69
Step-by-step explanation:
The formula needed to find the third side of this equation is the Pythagorean theorem. Which is as follows:
[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]
The difference between the two is that the first one after you do [tex]a^2+b^2[/tex] you still need to square root the answer you get to get the third side, aka. the hypotenuse. If you do the second method, you get the answer after you do the calculation which is a lot easier.
Below are the calculations needed to be made in both ways:
[tex]12^2+13^2=313\\\sqrt{313}= 17.69[/tex] 17.69 was rounded to the hundredths place.
[tex]\sqrt{12^2+13^2}=17.69[/tex] once again this answer was rounded to the hundredths place.
[tex]a^2+b^2[/tex] are respectively for the sides of the triangles.
[tex]c^2[/tex] is respectively for the hypothenuse, which is the longest side, and across from the right angle (located by a box).
Answer:
5 or 17.69
Step-by-step explanation:
1st case senario:
c^2=a^2+b^2
c^2=12^2+13^2
c^2=144+169
c^2=313
c^2=[tex]\sqrt{313}[/tex]
c=17.69
2nd case senario:
144+b^2=169
b^2=169-144
b^2=25
b^2=[tex]\sqrt{25}[/tex]
b+5
pls help my mom will literally scream at me lol . thank you sm:)
Answer:
The amount Tobie invests in a bank, P = $25
The annual compound interest rate, i = 4%
a. The principal is amount invested in the bank, P = $25
The annual interest rate, i = 4%
b. The function that represents Tobie's account balance, A, after t years is given as follows;
[tex]A(t) = P \cdot (1 + i)^t[/tex]
Where;
A(t) = The amount in the account after t years
P = The principal amount
i = The annual compound interest rate
t = The number of years
c. The values to place in the table are found as follows;
At t = 0, [tex]A(0) = 25 \times(1 + 0.04)^0[/tex] = 25
At t = 10, [tex]A(10) = 25 \times(1 + 0.04)^{10}[/tex] = 37
The given table is presented as follows;
[tex]\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}[/tex]
Step-by-step explanation:
A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?
Using Pythagoras theorem
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]
[tex]\\ \Large\sf\longmapsto P^2=225[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]
[tex]\\ \Large\sf\longmapsto P=15ft[/tex]
Answer:
Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)Step-by-step explanation:
we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)
find the area of triangle
i. b=6cm ,h=4cm
ii. b=5cm ,h=7cm
iii. b=8.4 cm ,h=5cm
answer
[tex]i.12cm {}^{2} [/tex]
[tex]ii.17.5cm {}^{2} [/tex]
[tex]iii.21cm {}^{2} [/tex]
Answer:
Step-by-step explanation:
What are we supposed to do? You already have the answers and they’re all correct if that’s what you wanted to know
What is the surface area of a dome (a half sphere) with a radius of 12 meters?
576 pie meters squared
48 pie meters squared
288 pie meters squared
96 pie meters squared
432 π m²
Answer:
Solution given:
radius of dome[r]=12m
now
Are of dome(semi sphere)=3*πr²=3*π*12²=432πm²
The surface area of a dome (a half sphere) with a radius of 12 meters is,
⇒ 1356.48 meters²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
⇒ Radius of sphere = 12 meters
Now, We know that;
⇒ The surface area of a half sphere = 3πr²
Here, r = 12 m
Hence, The surface area of a dome (a half sphere) with a radius of 12 meters is,
⇒ 3πr²
⇒ 3 × 3.14 × 12²
⇒ 1356.48 meters²
Thus, The surface area of a dome (a half sphere) with a radius of 12 meters is,
⇒ 1356.48 meters²
Learn more about the multiplication visit:
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The sum of two rational numbers is 9 and one of them is − 3, then the other is_.( ) 10
Answer:
12
Step-by-step explanation:
let the rational number be x
x+(-3) = 9
x = 9+3 = 12
Answer:
12
Step-by-step explanation:
x + y = 9
x = -3
=>
-3 + y = 9
y = 12
Simplify
Rewrite the expression in the form 9^n
(9^2)^5
Answer:
9^10
Step-by-step explanation:
(a^b)^c = a^(b×c)
hihi
If the circumference of a right cylinder is tripled, the volume will increase by a factor of _____.
Answer:the answer is 9
Step-by-step explanation:
pls answer my question from the above picture
Answer:
Step-by-step explanation:
[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]
As bases are equal in boht sides, we can compare the exponents.
-2x + 1 = -11
Subtract 1 form both sides
-2x = -11 - 1
-2x = -12
Divide both sides by -2
x = -12/-2
x = 6
If f(x) =x/4 - 3 and g(x) = 4x2 + 2x - 4, find (f +g)(x).
A. x2-12
B. 4x2 +Zx-7
C. 4x2+2x+1
D. 4x2+x-7
Answer:
4x^2 +9x/4 -7
Step-by-step explanation:
f(x) =x/4 - 3
g(x) = 4x^2 + 2x - 4
(f +g)(x) = x/4 - 3 + 4x^2 + 2x - 4
= 4x^2 + 8x/4+x/4 -7
= 4x^2 +9x/4 -7
35x - 11 = 107... fill in the digit on the right side of the equation so that each equation has an integer solution.
Answer:
...=
Step-by-step explanation:
First step to these problems will be to move the -11 to the side with the 107_
That will give us 35x=107_ +11.
Next, we know 35=5 times 7, and be now can say that 107_+11 will be a multipe of 5 and 7 at the same time. If it's a multiple of 5, then it has to end in a five or zero, so the blank can be four or nine. If it has to be a multiple of seven, too, than the only 1070 because that is divisible by 7, whereas 1075 is not.
I hoped you liked this answer. If you have any more questions, you can always ask me!
It should be noted that in the equation 35x - 11 = 107, x will be 3.371.
What's the value of x?To solve the equation 35x - 11 = 107, we can follow these steps:
Add 11 to both sides of the equation to isolate the term with the variable:
35x - 11 + 11 = 107 + 11
This simplifies to:
35x = 118
Divide both sides of the equation by 35 to solve for x:
(35x) / 35 = 118 / 35
This simplifies to:
x = 118 / 35
The result, in decimal form, is approximately:
x ≈ 3.37
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I need help with this question. Pls give me an answer /steps and explanations.
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
Express your answer using positive exponent.
[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]
adding power of common term and multiply constant term:
[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]
[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
[tex]30s^5t^9u^{10}v^8[/tex]
Step-by-step explanation:
We'll be using the following exponent property to solve this problem:
[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]
This will allow us to combine terms with the same variable.
In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].
Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.
Therefore, combine using the exponent property I mentioned above:
[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]
Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].
Combine using the exponent property:
[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]
Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:
[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]
[tex]v^7\cdot v=v^{7+1}=v^8[/tex]
Finally, combine all the terms together:
[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C"?
please help have a lot of lessons
highest common factor of 80,90 and 120
Answer:
10
Step-by-step explanation:
The highest number in which 80, 90 and 120 can be divided by is 10.
80÷10=8
90÷10=9
120÷10=12
Answer:
10
Step-by-step explanation:
8090/10 = 809
120/ 10 = 12
If BC = 5, DE = 9, and AB = 4, what is the length of AD?
7
8
7.2
7.5
There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
calculate the speed, in ms-¹ of vehicle A and of vehicle B
9514 1404 393
Answer:
A: 0.32 m/sB: 0.56 m/sStep-by-step explanation:
The speed is the ratio of the change in distance to the corresponding change in time.
Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...
A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s
Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...
B = (28 m)/(50 s) = 0.56 m/s
Johnson bought a wrist watch for $y and sold it at a loss of 15% Write an expression for the selling price.
A. 0.85 y
B. 0.85
C. 85 y
D. 1.159
HELPPPPP ILL GIVE BRAINLIEST
Answer:
0.85y
Step-by-step explanation:
Cost of the wrist watch = $y
Present percentage = 100%
Percentage Loss = 15%
Selling price = (Present percentage - Percentage Loss) * Cost of the wrist watch
= (100% - 15%) * y
= 85% * y
= 85/100 * y
= 0.85 * y
= 0.85y
Selling price = 0.85y
9) Three times a number added to 12 gives -6. Find the number.
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
In parallelogram QRST if RU=17 find UT.
I need help I don't understand this.
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
The graph of h(x) = (x - 3)2 is a translation of the
graph of f(x) ….. blank
by
…. Blank units.
Answer:
right by 3 I think
Step-by-step explanation:
Answer: Right by 3 Units
Step-by-step explanation:
Right on edge 2021
Write the equation of the line with a slope of 4 that contains the point (5, 8).
Answer:
y = 4x - 12
Step-by-step explanation:
y = 4x + b
8 = 4(5) + b
8 = 20 + b
-12 = b
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]
Given that,
A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).
So,
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]
NOW,
The equation is :
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]
Find the domain of h(x) = 2x - 9 given a range of (-7,5,11)
Answer:
D = 1,7,10
Step-by-step explanation:
-7 = 2x - 9
x = 1
5 = 2x - 9
x = 7
11 = 2x - 9
x = 10
the domain of (1,7,10)
Please help me: 1/2(6h-4) = -5h+1
Answer:
h = 3/8
Step-by-step explanation:
1/2(6h-4) = -5h+1
Distribute
3h -2 = -5h+1
Add 5h to each side
3h-2+5h = -5h+1+5h
8h-2 = 1
Add 2 to each side
8h-2 +2 = 1+2
8h = 3
Divide by 8
8h/8 = 3/8
h = 3/8
