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
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
Learn more about subject of formula here : https://brainly.com/question/859711
Rotate the following triangle 90 degrees.
A(4, -3) B(-12, 8) C(6, -4)
Answer:
given vertices of triangle ABC
A(4, -3) B(-12, 8) C(6, -4)
Rotating through 90°
P (x , y) -----> P' (y , -x)
A(4, -3) ------> A' ( -3 , -4 )
B(-12, 8) -----> B' (8 , 12 )
C(6, -4) ------> C' (-4 , -6)
The value of p (p^2 + p +1) if p =-1
Answer:
The answer is 1
Step-by-step explanation:
p² + p + 1; p = -1
Now, Put p = - 1
p² + p + 1
(-1)² + (-1) + 1
1 - 1 + 1 = 1
Thus, The answer is 1
-TheUnknownScientist 72
Hey there!
p(p^2 + p + 1)
= -1(-1^2 + (-1) + 1)
= -1(-1^2 - 2 + 1)
= -1(-1^2) - 1(-2) - 1(1)
= 1 + 2 - 1
= 3 - 1
= 2
Therefore, your answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Describe a real life multipication situation for which an estimate makes sense explain why it makes sense. NEEDS TO BE ANSWERED RIGHT NOW
Answer:
I have 20 weddings which need 3 cakes each. How many cakes do I need to get?
20 x 3 = 60 cakes
In which quadrant does the graph of the sum of
(-3 – 5i) and (2 + 4i) lie?
Answer:
Third quadrant
Step-by-step explanation:
The complex and real parts can be added separately:
(-3 - 5i) + (2 + 4i) = -1 -i
This shows that the sum would be in the third quadrant of the complex plane as there is negative real and negative imaginary parts.
if 21 and 35 are two members of a pythagorean triple, what is the third member?
Answer:
28
Step-by-step explanation:
21^2+28^2=35^2
The third number of the Pythagorean triplet as c = 40.82.
What is Pythagorean triplet? What is a mathematical function, equation and expression? Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that 21 and 35 are two members of a Pythagorean triplet.
We can write the Pythagorean triplet as -
a² + b² = c²
c² = a² + b²
c² = (21 x 21) + (35 x 35)
c² = 441 + 1225
c² = 1666
c = √1666
c = 40.82
Therefore, the third number of the Pythagorean triplet as c = 40.82.
To solve more questions on functions, expressions and polynomials, visit the link below -
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what is 0.1 is 1/10 of what number???
Answer: 0.1 is 1/10 of 1.
Step-by-step explanation:
there are 1200 students in a school. if 2/5 are girl what is the number and percentage of boys? find it
Step-by-step explanation:
Hope it will help you...
Find the equation of the line.
y=[ ]x +[ ]
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
pls answer quickly
A pool charges $7 for 2 daily pool passes. Which table could represent the situation?
Answer: B
Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *
A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes
Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
Alan draws the two triangles below.
Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent
B
show that the triangles are congruent, as all congruent triangles are similar
C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle
D
show that all pairs of corresponding angles are congruent and all corresponding sides are
Answer:
A & D
Step-by-step explanation:
Both use SSS to prove triangles congruent.
Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
"If and only if the following two conditions are met, two triangles are congruent.
Three corresponding sides have the same value.
The measurements of the three related angles are all equal."
given instance,
Think about the triangles PQR and ABC.
If A = P, B = Q, and C = R
AB = PQ, BC = QR, and AC = PR as well.
If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.
As a result, the following are true statements concerning congruent triangles:
The length of each of the three pairs of corresponding sides is the same.
The three pairs of comparable angles in each case are all of the same size.
To learn more about Congruent triangle refer to:
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write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)
Answer:
y=-2x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-6)/(0-(-3))
m=-6/(0+3)
m=-6/3
m=-2
y-y1=m(x-x1)
y-6=-2(x-(-3))
y-6=-2(x+3)
y=-2x-6+6
y=-2x
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Need help ASAP! Directions in picture;)
Answer:
x+43⁰+52⁰=180⁰ [being triangle]
x⁰+95⁰=180⁰
x⁰=180⁰-95⁰
x⁰=85⁰
Alex feeds his cat ⅗ of a can of cat food a day how many cans of cat food should Alex buy each week
Answer:
5
Step-by-step explanation:
3/5 times 7 is 4 1/5 and you cant buy 1/5 of a can so you have to round up to 5
What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
help pl pls pls pls pls
Answer:
they are both a function
Step-by-step explanation:
because i did this back in 8th grade
Would you rather have your boss pay you 10,000 a day for 3 full weeks
Answer:
yes I would............
A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?
Answer:
Step-by-step explanation:
The perimeter = side1 + side2 + side3
P = 29
side1 = 9
side2 = 9
29 = 9 + 9 + side3
29 = 18 + side3 Subtract 18 from both sides
11 = side 3
Answer:
hb≈7.12in
a Side
9
in
c Side
9
in
P Perimeter
29
in
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formulas
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
P=a+b+c
s=a+b+c
2
Solving forhb
hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2
2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92
2·9﹣2·29+2·9≈7.1239in
Step-by-step explanation:
This expression is scientific notation for what number?
8. 10-6
Answer:
20-45 answer should be d good luck sorrybif im wrong
According to the graph, how many students received an 90 for their first semester grade?
A: 0
B: 2
C: 6
D: 15
HELLPPP
I need help asappp
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
if you multiply the number by to end at 4 the results you gave will be the same of three times the number decreased by 7
Answer:
11
Step-by-step explanation:
Let the number be x,
2x+4 = 3x-7
Collect like terms
2x-3x= -4-7
-x =. -11
Multiply both sides by -1
x. =. 11
Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."
Hope This Helps :)
A 17 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
55.4
Step-by-step explanation:
Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?
Based on the information the cost of the product is $40,000.
Given:
Percentage earn=5% or 0.05
Amount earned=$2,000
Let x represent the cost of the product
Hence:
Formulate
.05x = $2000
Divide both sides by .05
x=$2,000/.05
x=$40,000
Inconclusion the cost of the product is $40,000.
Learn more about cost here:https://brainly.com/question/824281
What -3/4 equals 2/3
Answer:
17/12= 1 5/12
Step-by-step explanation:
make the denominator the same as 12
_______ -9/12 =8/12
so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12
Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?
Answer:
pa answer din po please!!
BRAINLIEST
Please answer these
2. A=49 Pi, C=14 Pi 3. A=225 pi, C=30 pi
4. A=104.04, C=20.4 pi 5. A=20.25 pi, C=9 Pi
Answer:
Step-by-step explanation:
