Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
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1) A microbiologist measures the length of a bacterium of 0.000163 m and the
length of yeast as 0.0087 mm.
a) Which is longest? (Hint: Both must be the same units)
b) How much longer is the longer specimen than the shorter specimen?
Answer:
a) The bacterium is longer;
b) The bacterium is 0.1543 mm longer than the yeast.
Step-by-step explanation:
In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.
[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]
a) The bacteria is longer than the yeast.
b) We need to subtract their length in order to find this answer:
[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
Answer:
The answer would be the last one
_________________________________
Solution
(5r+2)(3r-4)
=5r(3r-4)+2(3r-4)
=15r^2-20r+6r-8
=15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8.
Hope it helps
Good luck on your assignment
______________________________
Please Help!!! DUE NOW!
Answer: 37
Step by step explanation:
y+29+40+2y=180°( sum of angle in straight line)
or, y+2y+29+40=180°
or,3y+69=180
or,3y=180-69
or,3y=111
or,y=111/3
y=37
hope it helps
Good luck on your assignment
Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.
Answer: the answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = -2/3
Not a test just that. ? Is throwing me off after 25x what does that mean genuinely confused
Answer:
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).
Step-by-step explanation:
Its right?
Henry was playing with his marble collection, and decided to challenge his friend Andrew to figure out how many of each color marbles he had. Henry gave Andrew the following clues. "I have x blue marbles. I have four times as many red marbles as blue marbles. I have 5 less green marbles then I do blue marbles." Altogether I have 91 marbles. How many green marbles does Henry have?
Answer:
11
Step-by-step explanation:
First, set up an equation. Since all the blue marbles+red marbles+green marbles= total number of marbles, we have: x+4x+x-5=91.
x+4x+x-5=91
6x-5=91
6x=96
x=16
Since there are x-5 green marbles, we get the number of green marbles=16-5=11.
This is for adding and subtracting polynomials, word problems. I have real difficulty with word problems in math, so please help me!
please see the attached picture for full solution
Hope it helps..
Whats the radius of this?
Answer:
Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8
Think outside the box 4 is radius 8 is diamaterAt which point do the graphs of the following equations intersect each other?
2x - y + 4 = 0
x + y = -5
A. (2, -1)
B. (-3,-2)
C. (4, -5)
D. (1,1)
Answer:
(-3,-2)
Step-by-step explanation:
Rewrite first equation in slope-intercept form ( y = mx + b)
2x -y + 4 = 0
-y = -2x - 4
y = 2x + 4
Now rewrite second equation in slope intercept form
y = -x -5
Graph both equations on a calculator and you see that they intersect at (-3,-2)
someone plz help me!
answer
d is the answer to the question
Can someone help please, thank you.
Answer: y - 2 = 3/2(x + 1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:
y - (2) = 3/2(x - (-1))
y - 2 = 3/2(x + 1)
Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?
A. 4/100
B. 40/100
C. 44/100
D. 40/10
Answer:
B
Step-by-step explanation:
40/100=4/10
6. Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.
options:
A. –7, –2, 3
B. 7, 2, 3
C. –7, –2, –3
D. 7, 2, –3
Answer:
it is D = 7, 2, -3
Step-by-step explanation:
step 1
-5 x -1 + 2 = 7
step 2
-5 x 0 + 2 = 2
step 3
-5 x 1 + 2 = -3
hope this help's
Answer: D = 7, 2, -3
Step-by-step explanation:
Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?
Answer:
y=-5x+44
Step-by-step explanation:
546/5 it is hard it i
Answer:
109.2
Step-by-step explanation:
If the number being divided does not end in 5 or 0, it being divided by 5 will not be equal. Therefor it might be better to try and use a calculator if you can't do it in your head.
Explanation:
First lets do the long division method. First we need to fit 5 into 5. That would be 1. So we write a 1 above the 546. Then we need to fit 5 into 4. Well it doesn't fit so we write a zero move another number. How many 5s fit into 46 well that would be 9. All we have left is a remainder of 1 which cannot fit into 5 and there are no more numbers
Answer:
109 R 1If you want a decimal that would be 109.2 or 109 1/5
6-5 solving rational equations 8/x+3=1/x+1
Answer:
x = -5/7
Step-by-step explanation:
8/(x+3)=1/(x+1)
Using cross products
8*(x+1) = 1*(x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x+3-x
7x +8 =3
Subtract 8 from each side
7x+8-8 = 3-8
7x = -5
Divide by 7
7x/7 = -5/7
x = -5/7
plsssss helppppp i need to do this work in 10 min plss helpp
Answer:
3/2 or 1.5
Step-by-step explanation:
Change in y/ Change in x
3/2
1.5
You're welcome and don't forget to click THANKS
Answer:
3/2 or 1.5
Step-by-step explanation:
Change in y/ Change in x
3/2
1.5
Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?
Question 7 options:
a)
y = 2(x + 5)
b)
y = 2x – 5
c)
y – 5 = x – 2
d)
y + 5 = 2x
Answer:
y+5 = 2x
Step-by-step explanation:
The point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -5 = 2(x-0)
y+5 = 2x
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer:
The modal is 6 and the median is 6
Step-by-step explanation:
does anyone know how to do this ?
Step-by-step explanation:
The circumference of a wheel is 0.46π, and we simply have to multiply that by 829 which is 381.34π or 1197.41.
Answer:
see below
Step-by-step explanation:
Find the circumference
C = 2 * pi *r
C = 2(.23) * pi
C = .46pi
Since the wheel rotated 829 times, multiply the circumference by 829
829 * .46 pi
381.34 pi
If pi = 3.14
1197.4076 meters
If using the pi button
1198.01494 meters
The side lengths of a triangle are 6, 8 and 12. Is this a right triangle?
A. Yes, because 6 to the 2nd power + 8 to the 2nd power < 12 to the 2nd power.
B. No, because 6 + 8 ≠ 12.
C. Yes, because 6 to the 2nd power + 8 to the 2nd power = 12 to the 2nd power.
D. No, because 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power.
Answer:
No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power
Step-by-step explanation:
If you square the shorter lengths and add them together, they add up to one hundred
6^2 + 8^2 --> 38 + 64 = 100
Once you square 12 it equals 144
144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.
Ex: 6: 8: 10, 12: 16: 20, etc.
Hope this helps!
Write (6p)^2 without exponents
Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the
water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
The following equation describes this situation
14.2 + (-16,5) = -23
What does -16.5 tell us?
Answer:
AnSwEr Is C
Step-by-step explanation:
in khAN
The value -16.5 tells us the displacement between his current position and his initial position.
What is displacement?Displacement is defined as the minimum distance between two points. It is a vector quantity and needs direction with magnitude.
It is given that
Initial position =14.2 m
Final position=-2.3 m
14.2+(16.5)=-2.3
To understand this, we need to first calculate the displacement between his initial and final position
Displacement = Final pposition - Initial position
Displacement= -2.3-14.2
Displacement =-16.5 m
So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)
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ANSWER ASAP -4x-4/3=x-6
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333
The point (-2, -3) is on a circle that has center (-2,6). Find the length of the diameter of the circle.
Answer:
18
Step-by-step explanation:
√(-2 - -2)² + (6 - -3)² = 9 = radius
diameter = 2r = 18
Which properties justify the steps taken to solve the system? {3x−2y=104x−3y=14 Drag and drop the answers into the boxes to match each step.
Answer:
Just took it!
Step-by-step explanation:
The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:
Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}
Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}
Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}
Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}
Therefore, the solution to the system is (x, y) = (2, -2).
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Please help quick!!!!!!!!!!!!1
Answer:
The mean is 6,082,560,000AtlasStep-by-step explanation:
If you add up all the numbers then divide it by the amount of numbers you added then you will get the mean. In this case, I added all the numbers then I divided that by 3.A reference book of maps is called an Atlas.Hope I helped!
Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work
Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
What is the equation of the graphed line written in standard form?
A. x=-3
B. y=-3
C. x+y=-3
D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)
Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = XY?
Answer:
well considering it is length it could be anything i think
if XZ= 45
then XY could also be 45
and then YZ would be 17
