Answer:
Step-by-step explanation:
If it is parallel with the line 2x-3y=9
Both of them have same slope so
2x-3y=9 turn this into slope intercept form first
-3y=9-2x
Y=9/-3 + -2x/-3
Y=2/3x - 3 the slope of this equation is ⅔
So our new equation will be
Y=⅔x +b
Since (6,7)
On the line
6=⅔(7)+b
b= 6-14/3=4/3
Y=⅔x+4/3 (slope intercept form)
3y-2x=4 ( general equation of line )
The equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19
The equation of a line in point slope form is expressed as
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line.
Given the equation 2x - 3y = 9
Rewrite in standard form y = mx + b
-3y = -2x + 9
y = 2/3 x - 3
Compared with the standard, the slope of the line is 2/3
Substitute the slope and the point into the point slope equation.
y - 7 = 2/3 (x - 6)
3(y-7) = 2(x-6)
3y - 21 = 2x - 2
3y - 2x = 19
Hence the equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19
Learn more here: https://brainly.com/question/21800256
Solve 162X - 1 = 64
Answer:
x=0.4012
Step-by-step explanation:
162X - 1 = 64
162x = 64 +1
162x= 65
x=65/162
x=0.4012
Nicole made costumes for the annual school play. She used a total length of 1468.8 in of blue fabric. The fabric came in 3 rolls that each had the same length. How much fabric was in each roll? Write your answer in yards.
Explain how a telescope with a few mirrors inside allows us to see things kilometers away
Answer:
Telescopes have several curved lenses inside that reflect on mirrors that gather light.
Step-by-step explanation:
You can find more information on NASA as well. They have very interesting explanations and photos there. :)
¿Cómo influye el fenómeno de capilaridad en la vida de las plantas?
Answer:
Plants use capillary action to bring water up the roots and stems to the rest of the plant. Therefore, if the plant could not do this the plant would die.
Step-by-step explanation:
2. The cost of a computer has been discounted by $239, so that the sale price is $1230.
Find the original price of the computer, c, by solving the equation: C – 239 = 1230
Answer:
5 dolla footlong
Step-by-step explanation:
Find the measure of angle b.
Answer:
23 degrees
Step-by-step explanation:
157+b=180
Evaluate the expression on top
Apply PEMDAS.
10^2 + (8)^2 - 5
100 + 16 - 5
116 - 5
Answer: 111
Answer:
The answer is 159!
Step-by-step explanation:
Use
Parantheses
Exponents
Multiplication
Division
Addition
Subtraction
Parantheses first, so your equation is now: 10^2 + 8^2-5
Then exponents! Now your equation is 100+64-5
Then simply do the addition + subtraction left to right, and your answer is 159. Also you don't have to but mind marking Brainliest? :D
draw the graph y = 4 x - 1 on the grid
Answer:
From the graph, it is also clear that at [tex]y=1[/tex], the value
of [tex]x=\frac{1}{2}[/tex].
Step-by-step explanation:
Given the equation
[tex]y = 4 x - 1[/tex]
The graph is attached below.
Putting [tex]y=1[/tex] in the equation to find the value of x
[tex]y = 4 x - 1[/tex]
[tex]1 = 4x-1[/tex]
[tex]2 = 4x[/tex]
[tex]x=\frac{2}{4}[/tex]
[tex]x=\frac{1}{2}[/tex]
From the graph, it is also clear that at [tex]y=1[/tex], the value
of [tex]x=\frac{1}{2}[/tex].
What is the solution to this equation?
6x +4= 40 – 2
X=
Answer:
X=5 2/3
Step-by-step explanation:
How many times does the digital one appear from 101 to 200
Answer:
119
Step-by-step explanation:
101: 2 times
102-109: 8 times
110: 2 times
111: 3 times
112-119: 16 times
120-129: 11 times
130-139: 11 times
140-149: 11 times
150-159: 11 times
160-169: 11 times
170-179: 11 times
180-189: 11 times
190-199: 11 times
Total: 119 times
Select all that apply.
Which of the following decimal numbers are examples of terminating decimals?
0.6868
832.15902...
1,087.59014
9.12 5
23.7
14. 1
Answer:
First option
Sixth Option
Fifth Option
Third Option
Fourth Option
Step-by-step explanation:
Remember that a terminating decimal is a decimal that has a infinite amount of numbers after the decimal point. In this case we have 0.6868 which keeps going because it's repeating therefore it's a terminating decimal. Same rule goes for all the other options.
Hope this helps.
Evaluate the expression for the given values of the variables.
(n + 6)2 for n = -8
When n = -8, the expression is equal to
Fastttt
Answer:
Answer of this is... 4...
Find the value of x in the triangle.
Answer:
X = 65*
Step-by-step explanation:
Each triangle's angles equal 180*. So the equation you would type to find X is
180 - 65 - 50 = X
X = 65
which statement about 4(x-3) is true
A. 4(x-3) is a product
B. 4(x-3) has three terms
C. 4(x-3) has two terms
D. 4(x-3) is a sum
HELPPPP PLZ!!!!!!
Given the function f(x)=4(2)2, Section A is from x=1 to x=2 and section B is from x=3 to x=4. Part A: find the average rate of change of each section. Part B: How many times greater is the average rate of change of section B than section A? Explain why one rate of change is greater than the other.
Answer:
I found thois from someone else asking this queetion so gope it helps.
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 15 minutes.
Answer:
79.5 feet
Step-by-step explanation:
5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.
i hope this helps :))
The integer that explained the depth of the hole after 15 minutes is 79.5 feet.
Given that,
The rate should be 5.3 feet per minute.The time in minutes should be 15 minutes.So, the integer that explained the depth of the hole after 15 minutes is
[tex]= Rate \times time \\\\= 5.3 \times 15\\= 79.5\ feet[/tex]
Therefore we can conclude that the integer that explained the depth of the hole after 15 minutes is 79.5 feet.
Learn more about the integer here: brainly.com/question/14232618
If The volume of a pool is 2512 cubic feet and the height is 8 feet, what is the radius of a pool?
Answer: 314
Step-by-step explanation: This is true because 2512 by 8 you get 314
The radius of a pool is 10 feet.
It is required to find the radius of a pool.
What is the cylinder?Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. A cylinder has two bases and a curved surface. Total surface area = 2πr(r +h) square units. Curved surface area = 2πr h square units.
Given:
The given pool is in the shape of cylinder.
Volume of a pool = 2512 cubic feet
The height = 8 feet.
According to given question we have,
Volume of a pool=π[tex]r^{2} h[/tex]
2512 =π[tex]r^{2} *8[/tex]
Divide 8 on both sides we get,
[tex]r^{2}[/tex]=314/π
[tex]r=\sqrt{314/3.14} \\\\r=10 feet[/tex]
Therefore, the radius of a pool is 10 feet.
Learn more details about cylinder here:
https://brainly.com/question/16134180
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A gym membership fee is $24 .Members pay an additional $3 each time they go.Non-members don’t pay the fee , but pay $6 each time they go.How many times would you have to go for the cost to be the same?
Answer:
Step-by-step explanation:
The measures of the three angles in a tri-
angle are in the ratio 1:2:3.
Answer:
30,60,90
Step-by-step explanation:
triangle are in the ratio 1:2:3.
So
Angles=X,2x,3x
X+2x+3x=180
6x=180
X=180/6
X=30
So angles are 30,60,90
the ratio of basketball to baseball is 5:4 what do i put basketball or basketball
Answer:
i'm not that sure what you mean but here's what i think your aksing..
Step-by-step explanation:
5 is for basketball and 4 is for baseball
Answer:
hi my name is trey and i have a basketball game tomorrow, well i'm a point guard and i got shoe game.
Penny makes 5 liters of applesauce. She saves 0.17 liter for dinner and puts the rest in jars. If each jar holds 0.69 liter, how many jars can she fill?
Answer:
8 jars
Step-by-step explanation:
Find to 3 decimal places the value of t for the distribution for the following.
Area in the left tail 0.005 and n= 25.
Answer:
-2.797
Step-by-sep explanation:
The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]
n = 25
Since sample size, n, = 25,
Degree of freedom = n - 1 = 25 - 1 = 24
The value of t for the t distribution, that is the t critical value, would be:
[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]
The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797
The t critical value of the left tail would be critical value is -2.797.
6. A total of 1,022 guests are attending a reception. If eachtable can seat
exactly 12 people, what is the LEAST number of tables needed to seat all
guests? *
Answer:
86
Step-by-step explanation:
1022/12 = 85.16666 which would mean that 85 tables would hold 12 people (1020) and 1 table would hold 2 people. So 86 tables to seat all the guests .
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. In how many hours will the order be complete with twice the number of working machines?
Answer:16
Step-by-step explanation:
Answer:
16 hours
Step-by-step explanation:
Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.
Answer:
A) 2
Step-by-step explanation:
(0,3) and (2,7)
Use slope formula
(7-3)/(2-0) = 4/2 = 2
Answer:
A) 2
Step-by-step explanation:
Find the slope between the points (0,4) and (1,5).
Answer:
M = 1
Step-by-step explanation:
If m<4=63, what is m<1?
Answer:
m<11=5.75
Step-by-step explanation:
since you already know what m<4 is
we just have to divide the result (63) by 4
63%4=15.75
therefore m<1= 15.75
Ms. Twillie's class (25 students) and Ms. Grober's class (24 students) are off to the Field Museum for a field trip. Their expenses will be as follows: the program cost $10 per student; the bus costs $235.20; and the group will have lunch at a charge of $2.75 per student. If every student participates in the field trip, how much do each of students have to pay to go on the field trip?
Answer: Each student need to pay $ 17.55 to go on the field trip.
Step-by-step explanation:
As per given, Total students = 25+24 = 49
Program cost per student = $10
Bus cost = $235.20
Charge per student =$2.75
Total cost of trip = (Program cost+ Charge per student ) (Total students)+ Bus cost
Total cost of trip = $ [( 10 +2.75)(49) + 235.20]
= $[12.75(49)+235.20]
= $ [624.75+235.20]
= $ 859.95
Each student have to pay = (Total cost of trip ) ÷ (Total students)
= (859.95 ) ÷ 49
= $ 17.55 [approx.]
Hence, Each student need to pay $17.55 to go on the field trip.
Who know this one and can help me out
How do you tell a girl you like them? (this question was for my brother im a girl and im not gay) Please whoever answers the best gets brainliest.
Answer:
All i have to say is be kind. Thats all.
Step-by-step explanation: