Answer:
Part A)
An equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
An equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
Step-by-step explanation:
Part A)
Given
Slope m = 6
Point (7, 2)
To Determine
Find an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 6(x₁, y₁) = (7, 2)substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 2 = 6(x-7)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
Given
Slope m = -4
Point (1, 9)
To Determine
Find an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -4(x₁, y₁) = (1, 9)substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = -4(x-1)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
The answer is:
1) y - 2 = 6(x - 7)
2) y - 9 = -4(x - 1)
Work/explanation:
The point slope formula is:
[tex]\bf{y-y_1=m(x-x_1)}[/tex]
where m = slope;
(x₁, y₁) is a point on the line.
For this problem, m = 6 and the point is (7,2).
Plug in the data:
[tex]\bf{y-2=6(x-7)}[/tex]
__________________
For this problem, m = -4 and the point is (1,9).
Plug in the data:
[tex]\bf{y-9=-4(x-1)}[/tex]
Hence, these are the equations.
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2,-5)
Step-by-step explanation:
Subtract -7x + 6 from -2x^2 + 9x - 2
Answer:
[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]
Evaluate 4x-(y + 2) + 6 when x = 2 and y = 3
Answer:
answer is 3
Step-by-step explanation:
8-5
4(2)=8
3+2=5
8-5=3
Answer:
46
Step-by-step explanation:
(-2, 4) and (3, -1)
Write equation in slope intercept form
Answer: y=-x+2
Step-by-step explanation:
m=(-1-4)/(3+2)=-5/5=-1
y=-x+b
Plug in the values
y=-x+2
Answer:
y = − x + 2
Step-by-step explanation:
If Mark wants to pay off a loan in 5 years and the bank charges 10 percent interest, how much would Mark pay for the entire loan?
help giving brainliest
Answer:
First you have to plot Bart's Garage's fee. Bart's equation is y = 30x + 20, so you would need to plot the points (0, 20) and (1, 50).
Lisa's base fee is the same, so her equation would have a + 20 at the end of it, but her hourly fee is higher. Therefore her hourly fee would be higher than 30. Her equation could be anything above 30, y = 50x +20 would work. The points for that graph are (0, 20) and (1, 70).
Write slope intercept of the equation with slope of 7 crossing point (0, 5)
Answer:
y=7x+5
Step-by-step explanation:
5 rate?? my brother doesn't want to helpx me someone help?]'
Answer:
-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.
Step-by-step explanation:
Answer:
yes the answer is yes i think im not good at explaing but hope that helps
Step-by-step explanation:
Please do elimination method 2x-9y=-36
-14x+18y=-18
Answer:
The solution to the system of equations will be:
[tex]x=9,\:y=6[/tex]
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]
Multiply 2x-9y=-36 by 7
[tex]14x-63y=-252[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]
Adding both equations
[tex]-14x+18y=-18[/tex]
[tex]+[/tex]
[tex]\underline{14x-63y=-252}[/tex]
[tex]-45y=-270[/tex]
solve -45y = -270 for y
[tex]-45y=-270[/tex]
divide both sides by -45
[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]
Simplify
[tex]y=6[/tex]
For 14x-63y = -270 plug in y = 6
[tex]14x-63\cdot \:6=-252[/tex]
[tex]14x-378=-252[/tex]
Add 378 to both sides
[tex]14x-378+378=-252+378[/tex]
Simplify
[tex]14x=126[/tex]
Divide both sides by 14
[tex]\frac{14x}{14}=\frac{126}{14}[/tex]
Simplify
[tex]x=9[/tex]
Therefore, the solution to the system of equations will be:
[tex]x=9,\:y=6[/tex]
Help me I need an answer
Which equation represents a line with a slope of 1⁄2 passing through
the point (6, 4)? please answer ASAP. will give brainiest with explanation
Answer:
is -4=Y
Step-by-step explanation:
i had that problem
How can we classify the following shapes ? Pleasee choose the correct answers !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
Quadrilateral, Square, and Rhombus
Step-by-step explanation:
Hope it helped!
Answer:
I think quadrilateral and rhombus.
Step-by-step explanation:
HELP PLEASE WILL GIVE BRAINLIEST!!!
yo somebody help me on this i will mark you has brainlist c: plz
How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution
Answer:
D. One solution
Step-by-step explanation:
Simplify:
[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]
There is only one solution (x=2) that satisfy the equation.
Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. How many students do and do not bring their lunch?
Answer:
2/3
Step-by-step explanation:
If 1/3 of students bring their lunch to school then 2/3 of students dont
Answer:
300 brought lunch
600 did not bring lunch
Step-by-step explanation:
1/3 of 900 = 300
What type of association would you expect between a persons age and hair length (positive/negative etc)
Answer:
:0 according to my calculations
Step-by-step explanation:
cheese
27 minus 9X +15 Y please
27 - 9x +15y
Factor out common term 3 :
3(9-3x+5y)
hope this helps!
Answer:
3(9-3x+5y)
Step-by-step explanation:
Gilbert is -17 meters under sea level every second(s) he gains 0.5 meters after how many seconds is he at sea level?
Answer:
He is at sea level after 34 seconds
Step-by-step explanation:
The height at sea level is given as 0 meters
So the change in height would be;
0- (-17) = 17 meters
There is a gain of 0.5 meters in 1 second
So, the time taken for it to gain 17 meters will be 17/0.5 = 34 seconds
Please help and number the questions
Giving 50 points please solve it
And I won’t report
Answer:
1. 18.84 in
2. 56.52 cm
3. 4.71 ft
4. 25.12 m
5. 37.68 ft
6. 12.56 yd
7. 43.96 in
8. 28.26 cm
9. 7.85 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
Help, I don’t know how to do this.
Answer:
2
Step-by-step explanation:
OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps
plz give thanks
Mr. Silverstone invested some money in 3 different investment products. The investment was as follows:
a. The interest rate of the annuity was 4%.
b. The interest rate of the annuity was 6%.
c. The interest rate of the bond was 5%.
d. The interest earned from all three investments together was $950.
Which linear equation shows interest earned from each investment if the total was $950?
a.) a + b + c = 950
b.) 0.04a + 0.06b + 0.05c = 9.50
c.) 0.04a + 0.06b + 0.05c = 950
d.) 4a + 6b + 5c = 950
Answer: c.) 0.04a + 0.06b + 0.05c = 950
Step-by-step explanation:
To find interest per investment you need to multiply the percentage interest rate by the value of the investment.
When written in linear equations, percentages are converted to decimal form.
4% = 1/100 = 0.04
6% = 6/100 = 0.06
5% = 5/100 = 0.05
These are the interest rates that when multiplied by their investments, will give a total of $950.
0.04 * a + 0.06 * b + 0.05 * c = 950
0.04a + 0.06b + 0.05c = 950
Option c is therefore correct.
arrange the following values in order, starting with the smallest
0.7 5/8 66% three-quarters
Answer:
change all into decimals
0.7
5/8=0.625
66/100=0.66
5/8, 66%, 0.7
Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet, Sheleah does a little research and stumbles upon the following graph and facts about the Jet's gasoline consumption.
GRAPH IN SCREENSHOT
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
Using the graph, approximate the Jet's average gas consumption, in gallons per hour, during the sixteen hour flight from Los Angeles, California to Melbourne, Australia. In your final answer, include all of your calculations.
26375
On the graph, it tells you how much fuel is left after 2 hours of the journey.
If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.
Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.
Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is
Answer:
24
Step-by-step explanation:
To obtain the minimum number fi tiles needed;
We find the Lowest common multiple of 8 and 6
Multiples of :
6 = 6, 12, 18, 24, 30, 36, 42, 48,...
8 = 8, 16, 24, 32, 40, 48, 56,...
Hence, the lowest common multiple of 8 and 6 is 24
Answer:
its B
Step-by-step explanation:
Please answer please ASAP * please don’t answer if you don’t know please .
Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]
Substitute in the given value and solve
[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
URGENT DUE IN 10 MINUTES!
You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function C(f) = 24f represents the number of cookies, C, that can be made with f cups of flour. Which set of ordered pairs represent points on the graph of C(f) = 24f?
Answer:
c(0) = 24*0 = 0
c(8) = 24*8 = 192
Your range is [0,192]
Step-by-step explanation:
Answer:
You have 8 cups of flour it takes 1 cup of flour to make 24 cookies the function c(f)=24f
c represents the number of cookies
f represents the cups of flour
You have 8 cups of flour, we can use only 0 to 8 cups of flour.
so domain f is 0 to 8 cups [0,8]
Now we find the range
1 cup of flour to make 24 cookies
So 8 cups of flour = 24* 8 = 192 cookies
using 8 cups you can make 192 cookies
So number of cookies is from 0 to 192
Range is [0,192
Step-by-step explanation:
Can you guys help we with this question.
Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
State the equation of the straight line with:
a - a gradient of 4 passing through the y-axis at (0,7)
b - a gradient of 5 passing through the y-axis at (0,1)
c - a gradient of 6 passing through the y-axis at (0,2)
d - a gradient of 9 passing through the y-axis at (0,13).
Answer:
a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13
How do I do this problem (similar right triangles) please explain how you did it!!
ASAP!!!
Answer:
by phythagoras theorem
(c+b)^2=(8)^2+(6)^2
(b+c)^2=64+36
(b+c)^2=100
b+c=√100
b+c=10.
by phythagoras theorem
(8)^2=(a)^2+(b)^2
64-b^2=a^2. {1}
by phythagoras theorem
(6)^2=(a)^2+(c)^2
36-c^2=a^2. {2}
In equation 1 and 2,
64-b^2=36-c^2
64-36= -c^2+b^2
28= b^2-c^2
28=(b+c)(b-c)
28=10(b-c)
b-c=28/10
b-c=2.8.
b+c=10
b-c=2.8
subtract both equations
c=3.6
option A is correct.