If the lines 5x + 3my – 2 = 0 and 3x + 7y + 1 = 0 are parallel, then what is the value of m?
(a)9/35
(b)35/9
(c)9/5
(d)5/9
Please give full explanation!!!
ASAP!!
Answer:
35/9
Step-by-step explanation:
7y=-3x-1
y=-3/7x-1/7
m=-3/7
Now,
3my=-5x+2
y=-5/3mx+2/3
So
-3/7=-5/3m
-9m=-35
m=35/9
Answer:
35/9
Step-by-step explanation:
What we need to know:
Parallel lines have the same slope
slope intercept form: y = mx + b
m = slope
The first thing we will want to do is put both equations in slope intercept form.
We must do this so we can identify the slope.
First equation:
3x + 7y + 1 = 0
Solve for y
Subtract 1 from both sides
3x + 7y + 1 - 1 = 0 - 1.
3x + 7y = -1
Subtract 3x from both sides
3x - 3x + 7y = -1 - 3x
7y = -3x - 1
Divide both sides by 7
7y/7 = (-3x - 1)/7
y = -3/7x - 1/7
So the equation of the first line is y = -3/7x - 1/7
Second equation:
5x + 3my – 2 = 0
Solve for y
Subtract 5x from both sides
5x - 5x + 3my - 2 = 0 - 5x
3my - 2 = -5x
Add 2 to both sides
3my - 2 + 2 = -5x + 2
3my = -5x + 2
Divide both sides by 3m
3my/3m = (-5x + 2)/3m
y = -5x/3m + 2/3m
So the equation of the second line is y = -5x/3m + 2/3m
So we have the two equations:
y = -3/7x - 1/7 and y = -5x/3m + 2/3m and we want to find the value of m if the two lines are parallel
Lines that are parallel have similar slopes
So the slope of the first equation should be the same as the slope of the second equation
The slope of y = -3/7x - 1/7 is -3/7 as it takes the spot of "m" in y = mx + b.
The slope of y = -5x/3m + 2/3m is -5/3m as it takes the spot of "m"
If the slopes of parallel lines must be similar than -3/7 = -5/3m
(Note that we've just created an equation that we can use to solve for m)
We now solve for m
-3/7 = -5/3m
Cross multiply
3*-3m = -9m
7*-5=-35
we acquire -35 = -9m
Divide both sides by -9
-35/-9 = 35/9
-9m/-9=
We're left with m = 35/9
So we can conclude that the value of m would be 35/9 if the two lines are parallel
Guided Practice
A recursive formula for a geometric sequence is given. What is an explicit formula for this sequence?
a1=100an=12 · an−1a subscript 1 baseline equals 100 line break a subscript n baseline equals one-half times a subscript n minus 1 baseline
A.
an=12 · 100n−1a subscript n baseline equals one half times 100 superscript n minus 1 baseline
B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline
C.
an=100+(12)n−1a subscript n baseline equals 100 plus left parenthesis one half right parenthesis superscript n minus 1 baseline
Answer: The Answer IS Either Letter B Or Letter C
B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline
Step-by-step explanation: I Think The Answer IS Letter B
Simplify the matrix.
a = 100 ,
a n = 12 a n − a ,
1 ,
100 ,
n , − h a l f ,
n ,
1
...............................................................................................................................................
Y’all plss plss help me, it super ugent, I’ll mark the brainlest
Plsssssss, it Imp not spamming,, I’m serious I’ll report u
Answer:
the answer is correct
Step-by-step explanation:
hope u like
Complete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Answer:
wea did tha r come from??
Step-by-step explanation:
it is supposed to be d
Complete the equation: x2 + 10x +__= (__)^2
Answer:
x2 + 10x +25 = (x+5)^2
Step-by-step explanation:
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
Answer:
25 should go in the blank.
Step-by-step explanation:
You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.
A child is picking 3 days of the 7 days of the week to have Jello for lunch. What is the size of the sample space in this experiment?
One-third of a number when subtracted from double of itself is equal to 10. Find the number.
2x−x3=10
X=?
Answer:
number is 6
Step-by-step explanation:
let the number be x , then double the number is 2x and
2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )
6x - x = 30
5x = 30 ( divide both sides by 5 )
x = 6
That is the number is 6
using trig to solve for missing angle
Answer:
x = 14.0902 (After rounding to the nearest ten-thousandth)
Step-by-step explanation:
Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:
Sin(69) = Opp/Hyp
Sin(69) = 14/x
0.9336 = 14/x
0.9336(x) = 14/x(x)
0.9336x = 14
0.9336x/0.9336 = 14/0.9936
x = 14.0902
State the domain and range of the graph below:
Answer:
domain [-1, ∞)
range [ -3, ∞)
Step-by-step explanation:
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.
Phase shift and period change
Rewriting the equation:
y = cos ( 2 ( x - 2 ) )
Phase shift 2 units to the right
Period changed to 2pi/2 = pi
Simplify the expression.
StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
–5.1
–4.21
3.42
5.1
Answer:
5.1
Step-by-step explanation:
ik i am in the future
Given: AABC is a right triangle.
BC =5, AC = 20
Determine the length of the missing side of AABC. When applicable, simplify radicals and show all of your work.
Answer:
19.365
Step-by-step explanation:
The Pythagoreum Theorum tells us that:
a² + b² = c²
where a and b are the legs and c is the hypotenuse.
BC is a leg; we'll lable it a.
AC is the hypotenuse thus labled c.
Plugging their lengths into the above formula will solve for the missing leg length.
5² + x² = 20²
25 + x² = 400
x² = 375
✓x = ✓3 x (5 x 5) x 5
x = 5✓15
x = 19.365
the Marked price of a book is rupees 500 if 30% discount is all over there in a loss of rupees hundred is made what is the cost price of the book
Answer:
cost price of book is Rs. 570
I do not understand this question can someone help me with good explanation will give Brainliest
Answer:
60 (E)
Step-by-step explanation:
He plants seeds -> plants grow to 12 times the original weight of the seeds -> he sells 50 tonnes from the harvest -> remainder is used as the next batch of seeds
He harvested 120 tonnes this year which means the original weight of the seeds planted was 120÷12 = 10 tonnes. This means that last years harvest would be the 10 tonnes used as seeds plus the 50 tonnes that would have been sold immediately, 10+50 = 60 tonnes
Find the value of b.
A. 57
B. 123
C. 50
D. 61.5
Answer:
please i need educere answers
Step-by-step explanation:
i have one day left and i cannot finish please reply with any way to contact you
which algebraic expression represents this word description the quotient of six and the sum of a number and eight
Help anyone can help me do the question,I will mark brainlest.
Answer:
a)11cm
b)49.5cm²
Step-by-step explanation:
to find the perimeter you use the formula
o/360×2piR
since 2pi R=18pi cm,to find the radius you cancel pi from both sides 2r/2=18/2...so the radius is 9cm
therefore the perimeter will be:
70/360×2×22/7×9
27720/2520
=11cm
then to find the area you say
o/360×pi R²
70/360×22/7×9²
124740/2520
=49.5cm²
I hope this helps
Need helppppp asappppppp
Answer:
Step-by-step explanation:
Select the correct answer.
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
Answer:
C
Step-by-step explanation:
Given
10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides
30x + 20 > 14x - 28 ( subtract 14x from both sides )
16x + 20 > - 28 ( subtract 20 from both sides )
16x > - 48 ( divide both sides by 16 )
x > - 3 → C
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
82
Step-by-step explanation:
You are looking for the hypotenuse.
c = ?
a = 80
b = 18
c^2 = a^2 + b^2
c^2 = 18^2 + 80^2
c^2 = 324 + 6400
c^2 = 6724
sqrt(c^2) = sqrt(6724)
c = 82 inches
Answer:
[tex]\boxed {\boxed {\sf 82 \ inches}}[/tex]
Step-by-step explanation:
We are asked to find the length of the rake.
We know it hits the wall 80 inches above the ground and the bottom of the rake is 18 inches away from the wall. The point where the top of the rake hits the wall and the distance away from the wall are the legs that form a right angle and the rake is the hypotenuse.
We want to find the hypotenuse or the length of the rake. We will use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this theorem, a and b are the legs and c is the hypotenuse.
The length of the legs are 80 inches (distance from ground to top of rake) and 18 inches (distance from wall to bottom of rake). The hypotenuse is unknown.
a= 80 in b= 18 inSubstitute the known values into the formula.
[tex](80 \ in)^2+(18 \ in)^2= c^2[/tex]
Solve the exponents.
(80 in)²= 80 in*80 in= 6400 in²(18 in)²= 324 in²[tex]6400 \ in^2+ 324 \ in^2= c^2[/tex]
Add.
[tex]6724 \ in^2=c^2[/tex]
We are solving for c, the hypotenuse, so we must isolate the variable. It is being squared. The inverse of a square is a square root, so we take the square root of both sides.
[tex]\sqrt {6724 \ in^2}= \sqrt{c^2}[/tex]
[tex]\sqrt{6724 \ in^2}=c[/tex]
[tex]82 \ in =c[/tex]
The length of the rake is 82 inches.
A triangle, where the two angles are 30° and 90°, what are the remaining angles
Answer:
60⁰
Step-by-step explanation:
A triangle has three angles.
The sum of its angles = 180⁰
[ By angle sum property ]
Let the unknown angle be 'x'
Then,
30⁰ + 90⁰ + x = 180⁰
120⁰ + x = 180⁰
x = 180⁰ - 120⁰
x = 60⁰
Therefore, the unknown angle will be equal to 60⁰
cos²x-√3sinxcosx = 0
Answer:
x= п/2+пn; nE Z
x= п/6+пn; nEZ
Step-by-step explanation:
(cosx)^2- √3sinxcosx=0
Factorise it
cosx(cosx-√3sinx)=0
cosx=0 or cosx=√3sinx
x= п/2+пn; nE Z cosx/cosx= √3sinx/cosx
1/√3= tgx
x= arctg 1/√3+пn; nE Z
x= п/6+пn; nEZ
The answer is x= п/2+пn; nE Z
x= п/6+пn; nEZ
help me pleaseeeee!!!
Answer: A
Step-by-step explanation:
Using the distributive property, for the denominators, you get x^2+4x-5x-20. Combining like terms, 4x-5x is -1x. So x^2-x-20. -1x is the equivalent to -x because -1*x is -x. There is only one solution with this denominator, A. So there’s no need to figure out the numerator.
Finding the missing length in a figure
Answer:
8 cm
Step-by-step explanation:
The length of the whole shape is 13. On the right side, it says the length is 5 cm. You use 13-5 to get the missing length.
Answer:
the answer is 8 cm
Step-by-step explanation:
juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.
Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
0.8 units
1.3 units
8.2 units
9.8 units
Answer:
8.2 units
Step-by-step explanation:
For radioactive decay, the amount should decrease over time. Given the function:
f(x) = 10(0.98[tex])^{x}[/tex]
We substitute the time of x = 10 hours:
f(10) = 10(0.98[tex])^{10}[/tex]
f(10) = 8.17
Round 8.17 to 8.2.
Therefore 8.2 units will remain after 10 hours.
Can u help me solve this
Answer:
V = 5,324 in^3
Step-by-step explanation:
V = 4([tex]\pi[/tex]r^3)/3
= 4(3)(11^3)/3
= 12(11)(11)(11)/3
= 12(1,331)/3
= 15,972/3
V = 5,324 in^3
Answer:
5575.28 or 5,324 depending on use of pie.
Step-by-step explanation
V=4/3πr3=4/3·π·113≈5575.27976
Hope this helps :)!
This is the answer if pie is used as 3.14.
V = 5,324 in^3 if pie used as 3.
V = 5575.28 in^3 if pie used as 3.14.
Eldrick manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown
in the table below. Which statement about the samples is true?
Duck Pond Samples
Sample 1
Mallard
Wood Duck
Green Wing Teal
American Widgeon
21
4
9
6
Sample 2
Mallard
Wood Duck
Green Wing Teal
American Widgeon
8
17
15
0
Eldrick can use both of these samples to find the mean frequency of each duck.
Eldrick should take another sample because there is too much variability in the two samples.
Eldrick should use only the first sample to find the mean frequency of each duck.
Eldrick should use only the second sample to find the mean frequency of each duck.
Answer:
Eldrick can use both of these samples to find the mean frequency of each duck.
Step-by-step explanation:
Given
See attachment for samples
Required
Determine which is true
Reading through the options, we can see that Eldrick needs to evaluate the mean frequency of both samples.
To do this, both samples have to be put into consideration in order to arrive at the right value.
Considering the options, we can conclude that (a) is correct.
Answer:
B
Step-by-step explanation:
the answer is B cause I did A and it was wrong trust me, and have a good day
Please help me anyone
Answer:
Quelles caractéristiques ces mots ont-ils en commun ? Cliquez sur tout ce qui s'applique.
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Step-by-step explanation:
LOL….HEY
(Btw I’m not new to brainly, but I just forgot my old password) *sigh* ughh I start school August second and it’s gonna be my first year in high-school ….I- first of all summer break was wayyyyyyyyy too short basically 2 months and a half while the rest of the year I have to bust my behind preparing for test that don’t have anything to do with MY future plans….eeeee every time I think about it my anxiety levels raise higher and higher …..if any upper class men have some advice plz tell me…cuz I am legit terrified ngl (I checked out some freshmen tips on yxutube but that didn’t really help that much) *and btw this is kind of academically related so need to report me*
Answer:not a man but I think you should just relax and be yourself, high school isn’t scary at all. When you go in for orientation walk around the school and find your classes so you have a good map of where you need to go in your head already! Best of luck
Step-by-step explanation:
