Answer:
r = -28/9
Step-by-step explanation:
use slope formula of (y₂-y₁) / (x₂-x₁)
5/9 = [r - (-2)] / [-7 - (-5)]
5/9 = (r+2) /-2
cross-multiply to get:
-2(5) = 9(r+2)
-10 = 9r + 18
-28 = 9r
r = -28/9
please prove it
(full steps required)
(No spam answers)
Answer:
Step-by-step explanation:
It's given in the question,
[tex]2^x=3^y=12^z[/tex]
[tex]2^x=12^z[/tex]
[tex]\text{log}2^x}=\text{log}12^z}[/tex]
[tex]x\text{log2}=z\text{log12}[/tex]
[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]
[tex]3^y=12^z[/tex]
[tex]\text{log}3^y}=\text{log}12^z}[/tex]
[tex]y\text{log}3}=z\text{log}12}[/tex]
[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]
Now substitute the values in the equation,
[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]
[tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]
[tex]=\frac{1}{z}[/tex]
Hence proved.
câu 1: cho hình chóp S.ABC có đáy là tam giác đều cạnh bằng a, cạnh bên SB vuông góc với mặt phẳng (ABC) , SB =2a. Tính thể tích khối chóp S.ABC
Câu 2: Cho hình chóp S.ABC với SA, SB,SC đôi một vuông góc và SA=SB=SC +a . TÍnh thể tích của khối chóp S.ABC.
Answer:
[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]
Step-by-step explanation:
Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]
câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)
=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]
. Tập nghiệm của bất phương trình
1 5
1 1
x x
x x
là:
Answer:
pnj hnu n
126
11
yes ......
....
.
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x u g
Shinto is serving pizza. He serves 1/5 of the pizza to one friend and 5/12 to another friend. If he had 9/10 of a pizza to start with, how much does he have leftover.
Answer: 17/60
Step-by-step explanation:
Change all of the fractions to have a common denominator:
LCM of 10, 12, 15 is 60
You get 12/60, 25/60, and 54/60.
54/60 is what he had at the start, and so you can just subtract what he gave away
54/60-12/60=42/60
42/60-25/60=17/60
17 is a prime number so you cannot simplify the fraction
Answer:
17/60
Step-by-step explanation:
First we find the LCM of 10, 12, and 5, which is 60.
He started with 54/60.
He gave away 12/60, leaving 42/60.
He gave away another 25/60, leaving 17/60.
He had 17/60 of a pizza left over.
Use
inductive reasoning
to
describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81, ...
Answer:
I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729
Step-by-step explanation:
each number is being multiplied by a factor of (-3).
I’m stuck somebody can help me
Answer:
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
(g•h)(x) = 2(x²+4)
(g•h)(3)=2(3²+4)
=2(9+4)
=2(13)
=26
Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.
10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:
Given:
Consider the below figure attached with this question.
To find:
The interpretation for x-intercept in this context.
Solution:
In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.
At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.
Therefore, the correct option is C.
Answer:
B. The number of seconds that passed before the printer started printing pages
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
33
32
Answer:
A= 75°
Step-by-step explanation:
SinA = opposite÷hypoteneous
A = Sin^-1(32÷33). (inverse sin = sin^-1)
A = 75.85
A= 75°
Note: To calculate we use scientific calculater.
Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.
We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.
The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):
sin(A) = BC / AC
Substituting the given values, we have:
sin(A) = 32 / 33
Using the inverse sine function (sin⁻¹), we can find the value of angle A:
A = sin⁻¹(32 / 33)
Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.
Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
To learn more about angle click on,
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Find the slope (m) of the line using the origin, (0,0) and the point (2,8)
Answer:
m=4
Step-by-step explanation:
m = y2 - y1/x2 - x1
(y2=8, y1=0, x2= 2, x1=0)
m = y2 -y1/x2 - x1
= 8 - 0/2 - 0
= 8/2
=4
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
solve for x.
solve for x.
solve for x.
Answer:
x = 10
Step-by-step explanation:
7(x+1+7)=6(x+5+6)
or, 7(x+8)=6(x+11)
or, 7x+56=6x+66
or, 7x-6x=66-56
or, x=10
Answered by GAUTHMATH
Helpless! I need help.
Answer:
0
Step-by-step explanation:
r=5
So
=5⁴-5(5)³-4(5)²+5(5)+75
=5⁴-5(125)-4(25)+5(5)+75
=625-625-100+25+75
=0
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
2 QUESTIONS!
Answer:
D and B
Step-by-step explanation:
2) (59.6)/180 * pi=1.04
Resultados de esta operación porfavor
/4 + 1/3
Answer:
Step-by-step explanation:
english only please
pls answer quickly before 3:30
Match each equation with its solution
PLEASE HELPP ASAP!
Answer:
-5x = 26 is 5.2
x/2 = 4 is -8
3/2x=6 is 4
x/-7.2=4 is 28.8
I need help I don't understand this.
Answer:
gmvlɛpuyhgn
gteeyolpp
jwjvy
Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A
Answer:
[tex]V=90[/tex]
Step-by-step explanation:
Step 1: Find the volume of the cone
[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]
Plug in the values
[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]
Simplify and Solve
[tex]V = \frac{\pi *9*10}{3}[/tex]
[tex]V = \frac{90\pi }{3}[/tex]
[tex]V = \frac{90*3 }{3}[/tex]
[tex]V=90[/tex]
Answer: [tex]V=90[/tex]
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
who a beast at math??
Mrs. Vacarro sliced a banana into 5 pieces. After eating one slice, she gave ⅘ of the original total to her toddler. After her child was finished, there were ⅖ of the banana slices left. What expression would you use to find out what fractional amount of banana Mrs. Vacarro's toddler ate?
The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Vacarro sliced a banana into 5 pieces.
Number of slices she gave to her toddler = 4/5
Number of slices left after her toddler had finished eating = 2/5
Thus number of slices toddler ate,
⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]
⇒ [tex]\frac{4-2}{5}[/tex]
⇒ [tex]\frac{2}{5}[/tex]
Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
Learn more about word problems here
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What is the length of ST?
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
what is everything i need to know about bearings?? i suck at them
Answer:
Step-by-step explanation:
bearing is the angle which a line makes with the north.
Find the value of x. Round to the nearest tenth.
Answer:
x=5.9
Step-by-step explanation:
tan(26)=x/12. x=12*tan(26)=5.9
will mark brainliest! PLEASE!
Answer:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Step-by-step explanation:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
Exponential
The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.
His bank balance would follow the compound interest equation which is exponential.
= 400 × 1.08^t
where t is the number of years since the deposit
Paul invests ₦4800 for 5 years at 3% per annum simple interest. Calculate the amount Paul has after 5 years.
Answer:
bạn cực ngu
Step-by-step explanation:
bạn cực kì ngu
Question 11 in the picture. Please help me
Answer:
hhhahah
Step-by-step explanation:
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An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
Find the sizes of unknown angles.
Grade 7
Geometery-Angles...
Pls answer fast with steps whoever tells right will given brainliest and 5 stars.
Answer:
40,65,75,40,105,35
Step-by-step explanation:
All the x variables form a straight line so
[tex]x + x+ 25 + x + 35 = 180[/tex]
[tex]3x + 60 = 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
Angle P is vertical to Angle X so
Angle P is equal to Angle X so
[tex]p = 40[/tex]
3q and q is supplementary to both Anlge P and X so this means they must equal 140.
[tex]3q + q = 140[/tex]
[tex]4q = 140[/tex]
[tex]q = 35[/tex]
