Answer:
y = 8x+6
Step-by-step explanation:
First find the slope since it is a linear function
m = (y2-y1)/(x2-x1)
= (18-2)/(1 1/2 - -1/2)
=16 / (1 1/2 +1/2)
= 16/2
= 8
The linear function is in the form
y = mx+b where m is the slope
y = 8x+b
Substitute the other point into the equation to determine b
10 = 8(1/2) +b
10 = 4+b
10-4 = b
6 = b
y = 8x+6
Find the surface area of the pyramid. The faces of the triangular pyramid are equilateral triangles 34.6 mm 40 mm 40 mm The surface area is?
Answer:
would you still like me to help you with this problem?
Please provide an explanation.
Answer:
-9
Step-by-step explanation:
In a linear equation like this, the first number is the slope and the last number is the y-intercept
what is 713.49 written as a standard form
In ΔRST, the measure of ∠T=90°, RT = 13, TS = 84, and SR = 85. What ratio represents the sine of ∠S?
Answer:
[tex]$ \frac{\text{13}}{\text{85}} $[/tex]
Step-by-step explanation:
Given :
ΔRST is a right angled triangle with right angle at ∠RTS.
RT = 13, SR = 85 and TS = 84
We are required to find the ratio that represents the sine of angle RST.
Therefore, using trigonometric ratios, we know that :
[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]
Therefore, the ratio that represents the sine of of ∠S is [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .
Five and one half of 2 and one third is what number?
Given:
Five and one half of 2 and one third.
To find:
The number for the given statement.
Solution:
Five and one half = [tex]5\dfrac{1}{2}[/tex]
2 and one third = [tex]2\dfrac{1}{3}[/tex]
The given statement is five and one half of 2 and one third.
Here, the word "of" is used for multiplication.
So, the expression for the given statement is:
[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]
[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]
[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]
[tex]=\dfrac{77}{6}[/tex]
Therefore, the required number is [tex]\dfrac{77}{6}[/tex].
PLEASE HELP! I'M GIVING 100 POINTS!
The depth of the deepest part of a body of water is 25,344 inches. Express this depth in scientific notation using an appropriate unit from the given list. What is the most appropriate unit for expressing the depth? What is the depth?
1 centimeter
10 millimeters
1 meter
100 centimeters
1 inch
2.54 centimeters
Select the correct choice below. If necessary, fill in the answer box to complete your choice.
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
A.
The most appropriate unit is the meter. The depth is
nothing meters.
B.
The most appropriate unit is the millimeter. The depth is
nothing millimeters.
C.
The most appropriate unit is the centimeter. The depth is
nothing centimeters.
D.
The most appropriate unit is the inch. The depth in inches is given.
Answer:
meter probably
Step-by-step explanation:
What is the greatest common factor of 20, 12, and 36?
Answer:
The answer is 4
Step-by-step explanation:
if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
x = 10
Step-by-step explanation:
[tex]x^2 = 8^2 + 6^2\\x^2 = 64 + 36 = 100\\x = \sqrt{100} = 10[/tex]
plz help plzplzplzplz
Answer:
It is C.
First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.
I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!
Answer:
1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)
V = pi(4)^2(6)
V = 301.59
Rounded* = 301.6
2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3
4/3pi(18)^3
D = 24429.02
Rounded* = 24429.0
I cant read the last one completely, hope this helps.
Find the volume of each figure. Simplify your answers.
Please help ASAPPPP
thank you so much!!!
This is the same as saying 27 cubic inches
===========================================================
Explanation:
We get the volume of a cube by using the formula
V = s^3
where the cubed exponent is directly tied together with the idea of volume being in cubic units. In this case, s = 3 which leads to
V = s^3
V = 3^3
V = 3*3*3
V = 27 cubic inches
As another example, let's say s = 4. That means
V = s^3
V = 4^3
V = 4*4*4
V = 64
We multiply the side length by itself having three copies total. This formula only applies to cubes. A more generalized formula for rectangular blocks is V = L*W*H where L,W,H are the length width and height in that order. This generalized formula allows for side lengths to be different, but if L = W = H, then it makes more sense to go with the first formula instead.
S = {x | x is a multiple of 4 and 9 ≤ x < 37}
Which set is equivalent to S?
A) {8, 12, 16, 20, ...}
B) {8, 12, 16, ..., 36}
C) {9, 12, 16, ..., 37}
D) {12, 16, 20, 24, ...}
E) {12, 16, 20, ..., 36}
PLEASE HELP RNNNN
Answer: the answer is either e or d but I guessed d
Step-by-step explanation:
The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.
What is a set?A set is a collection of distinct values where each variable's meaning must be the same.
For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.
As per the given,
x is the multiple of 4,
4,8,12..
But is it restricted in the domain as, 9 ≤ x < 37
Thus, {12, 16, 20, ..., 36} will be correct.
Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".
To learn more about the sets,
brainly.com/question/8053622
#SPJ2
Write the equation of the line in slope-intercept form.
Answer:
[tex]consider : (7, 0) \: and \: (0, 70) \\ m = \frac{(70 - 0)}{(0 - 7)} \\ m = - 10 \\ y = mx + c \\ 0 = ( - 10 \times 7) + c \\ c = 70 \\ \therefore \: \: y = - 10x + 70[/tex]
find the product.
enter your answer in simplest form.
6x2/3 = _=_
Which coordinate grid shows M plotted at (4,3)
Answer:
B
Step-by-step explanation:
4,3 is x 4 y 3
Answer:
B
Step-by-step explanation:
graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times
can someone tell me the points on a graph when you graph y=-5x
Answer:
pls give me brainliest
Step-by-step explanation:
What is the opposite operation of squaring a number?
A Taking the cube root
B Taking the square root
C Dividing by the number
D Multiplying by the number
Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]
A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.
x=-3
x=4
hope helps you
have a nice day
please answer In(5x-3)=4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]
⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).# ꧁❣ RainbowSalt2²2² ࿐
12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
Round 122.1587 to the nearest hundredth?
Answer:
100
Step-by-step explanation:
H T U
1 2 2
2 is a num below 5 therefore
2=0
32 7/12 ÷3 3/10 but an estimate
Answer:
20.740
Step-by-step explanation:
This is right.
Which trigonometric function(s) have a value of sqrt 3 / 2 ?
a sin pi/3
b sin 5pi / 6
c cos 5pi / 3
d cons pi / 6
Answer:
sin (π/3)= √3/2
cos (π/6) =√3/2
solve the equation x - 4 = -3 help yall-
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
please solve the question with the process
Answer:
Step-by-step explanation:
1-2(2x+1)=1-(x-1)
-1(2x+1)=1-(x-1)
-2x-1=1-x-1
-2x+x=0+1
-x=1
x=-1
Kai cuts out all the page numbers of a b\ook. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, how many separate digits does Kai have when he is finished
Answer:
2,889 digits
Step-by-step explanation:
Total pages of the book = 999 pages
Page 1 - 9 cut separately = 9 digits
Page 10 - 99 = 90 pages
Total digits = 2(90)
= 180 digits cut separately
Page 100 - 999 = 900 pages
Total digits = 3(900)
= 2,700 digits cut separately
how many separate digits does Kai have when he is finished
Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits
= 2,889 digits
Total separate digits Kai have when he is finished = 2,889 digits
please help thanks a lot for your help
Answer:
7.48
Step-by-step explanation:
[tex]9^{2} = 5^{2} + x^{2} \\81 = 25 + x^{2} \\x^{2} = 81-25= 56\\x = \sqrt{56} = 2\sqrt{14} =7.48\\[/tex]
HELPPPP
TWO NUMBERS HAVE A SUM OF 28. THE SMALLER NUMBER PLUS FOUR TIMES THE SECOND NUMBER IS 88. FIND THE UMBERS
Answer:
The smaller number is: 8
The bigger number is: 20
Step-by-step explanation:
Ok let's say the two numbers are x and y.
x is the smaller one, and y is the bigger one.
This is the equation to find x:
x + 4y = 88
x + y = 28
x - x + 4y - y = 88 - 28
3y = 60
y = 20
x + 20 = 28
x = 8