Answer:
it is linear
Step-by-step explanation:
Both of these both lines are perpendicular to each other.
We have the two equations of straight lines :
− 6x + 8y = −1 and −4x − 3y = 2.
We have to identify the relation between these two lines.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
−6x + 8y = −1 ...(1)
−4x − 3y = 2 ...(2)
Rearranging the terms of the equations we get -
y = [tex]\frac{3}{4} x - \frac{1}{8}[/tex] ...(3)
and
y = [tex]\frac{-4}{3}x - \frac{2}{3}[/tex] ...(4)
When compared -
The slope of line −6x + 8y = −1 is m(1) = [tex]\frac{3}{4}[/tex].
The slope of line −4x − 3y = 2 is m(2) = [tex]\frac{-4}{3}[/tex].
We can see that -
m(1) x m(2) = - 1
The product of the slopes of two perpendicular lines is -1.
Hence, these both lines are perpendicular to each other.
To solve more questions on relation between straight lines, visit the link below -
brainly.com/question/13792781
#SPJ2
Mark rolls a fair dice 36 times. How many times would Mark expect to roll a number greater than 5?
Answer:
Let X be the number of times a Dice rolls 4.
Expected value is 96/6 = 16.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
In a dice, there are 6 faces, there's {1, 2, 3, 4, 5, 6}.
So when the question asks a number greater than 5 it means that it wants the "6". The probability to get the "6" is 1/6. So to find the expected value you just times the number of rolls with the probability which means 36 × 1/6 which equals to 6 times
Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50
Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81
Answer:
the answer is B
Step-by-step explanation:
because only 48 is dividable by 6
Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answer:
The answer is A. W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
Step-by-step explanation:
Answer:
The answer is A i got A 100 on the test here or the rest of the anwers for the test
Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?
90 degrees clockwise rotation ✔
270 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Triangle XYZ is rotated 90° clockwise about the origin.
On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).
What are the coordinates of point X’?
(1, 3) ✔
(3, –1)
(3, 1)
(–1, –3)
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5) ✔
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
180 degrees rotation ✔
270 degrees clockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
A rotation maps point A to A’.
On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4).
Which statement describes the rotation?
270° counterclockwise rotation
90° clockwise rotation
180° rotation ✔
90° counterclockwise rotation
Rectangle PQRS is rotated 90° counterclockwise about the origin.
On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).
What are the coordinates of point Q’?
Q’( –3, 5) ✔
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
What is the percent of change from 45to56
Answer:
24.44%
Step-by-step explanation:
initial value :45
final value:56
change in value= 56-45=11
percentage change= 11
[tex] \frac{11}{45} \times \frac{100}{1} [/tex]
[tex] \frac{1100}{45} [/tex]
=24.44%
Answer:
24.44%
Step-by-step explanation:
Çhange =56-45
=11
Percentage change =change/previous change ×100%
Percentage change=11/45 ×100%
=0.2444444×100%
=24.4444%
4(6*9)+90=?
PLS CAN SOMEONE HELP ME
Answer:
306
Step-by-step explanation:
6*9=54
54*4=216
216+90=306
How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10
Answer:
3 times
Step-by-step explanation:
The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.
Question 1 of 10
Identify the domain of the function shown in the graph.
10
O A.-1sxs 0
OB. x is all real numbers.
PREVIOUS
Answer:
The answer would be B. x is all real numbers.
Step-by-step explanation:
It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.
Well, good luck on the other 9 problems!
The quotient of five less than a number and six, is -4
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
Are the triangle below similar
Answer:
Yes ,because of SAS similarity theorem
Step-by-step explanation:
In ΔYOM , ΔTON
∠YOM = ∠TON
[tex]\frac{OY}{OT}=\frac{96}{84}=\frac{8}{7}\\\\\frac{OM}{ON}=\frac{104}{91}=\frac{8}{7}[/tex]
SAS similarity theorem
Answer:
Hello,
Answer C
Step-by-step explanation:
[tex]\dfrac{96}{104}=? \dfrac{84}{91} \\\\Calculating\ crossed\ products\\96*91=8736\\104*84=8736\\they\ are\ equals\\\\\\\dfrac{YO}{MO} =\dfrac{OT}{ON} \\\\\\Triangles\ are\ similar\ because \ SAS \theorem\\\\[/tex]
Two similar triangle prisms have edge lengths in the ratio of 5:3. What is the ratio of the surface areas the two prisms?
Answer:
Since the ratio of the two corresponding sides is 3:5, this means that edge_prism_1%2Fedge_prism_2=3%2F5
So the ratio of the two surface areas is simply the square of the ratio of the two sides. This means that ratio of the two surface areas is simply
3%5E2%2F5%5E2=9%2F25
Consequently, this works with volume also. So ratio of the two volumes is:
3%5E3%2F5%5E3=27%2F125Step-by-step explanation:
The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
Answer:
See explanation
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- number of questions
Required
The time spent on each question
The question has missing details, as the required plot to calculate the total time is not given.
However, the formula to use is as follows
[tex]Each = \frac{Total}{n}[/tex]
Substitute 5 for n
[tex]Each = \frac{Total}{5}[/tex]
Assume the calculated total time is 60 minutes; The equation becomes
[tex]Each = \frac{60}{5}[/tex]
[tex]Each = 12\ mins[/tex]
Answer:
9 minutes
Step-by-step explanation:
I got it wrong from the other guy so i put get help and that's the Awnser LOL
What are the coefficients for the binomial expansion of (a + b)^3?
Answer:
coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)
Step-by-step explanation:
last one for similarity transformations:)
1. 1/2
2. Across Y axis
3. 3 rights and 2 ups (3, 2)
Two standard dice are rolled together. What is the probability of rolling a sum less than 7 or a sum divisible by 5?
Answer:
Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)
Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)
In a triangle, a segment connecting the midpoints of two sides of the triangle is
called:
Answer:
A.) Midsegment
Step-by-step explanation:
Trust me bro
What is the fastest way to solve the following question:
The ratio of boys to girls in Mr. Brown's class is 2:3. If there are 30 students in the class, how many more girls than boys are in the class?
Answer:
There are 6 more girls than boys
Step-by-step explanation:
boys :girls : total
2 3 2+3 = 5
There are 30 total students
30/5 = 6
Multiply each number by 6
boys :girls : total
2*6 3*6 5*6
12 18 30
There are 18 girls and 12 boys
18-12 = 6
There are 6 more girls than boys
Answer:
Answer is 6.
Step-by-step explanation:
I will now explain the fastest way to solve this. First off, the ratio is 2:3 so the first thing I do is combine that for 5, then do 30/5 for an answer of 6. Then, I multiply 6 for the ratio, which comes out as 12:18, 12 boys and 18 girls. 18-12=6, so there are 6 more girls than boys in the class.
If f(x)= sqrt x, which equation describes the graphed function.
Answer:
C. y = -f(x) - 3
Step-by-step explanation:
The given (parent) function is f(x) = √x
The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right
Therefore;
The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D
Where, D, is the vertical shift
The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3
The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction
Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)
The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)
Therefore, the equation that describes the graphed function is y = -f(x) - 3
[tex]\sqrt{x} +\sqrt{5} =\sqrt{12}[/tex]
Can someone help I don't understand
Answer:
Step-by-step explanation:
A sinusoidal graph has a maximum at the point (–40, 3) and a midline of y = – 12. Determine the amplitude of the graph.
Answer:
15
Step-by-step explanation:
The amplitude of y=sin(x) is 1 with a maximum of y=1 and a minimum of y=-1. It's amplitude is 1 because that is the distance the max( y=1 )is from the mid line (y=0) or the distance the min( y=-1 ) is from the mid line (y=0).
So we just need to find the distance the mid line, y=-12, and the max,y= 3, is from each other.
3--12=3+12=15
HALP ME PLS
The following dot plot represents two data sets, A and B.
Which of the following statements is not true?
The range of the two sets is the same.
The difference between the median of each set is 40.
Set B has a higher mean than set A.
The mode of set A is 50 less than the mode of set B.
The first stuation is not true because when we look at X which marks it's number and then collect all number is not like B Data. For example, set a has 5x*10+7x*20+2x*30+......... and for set B has 2x*20+8x*70 +.......... the two set hasn't same point
If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f-9)(2)?
Answer:
14
Step-by-step explanation:
Rationalise the denominator and simplify. 5 over root 3
[tex] \frac{5}{ \sqrt{3} } \\ = \frac{5 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ = \frac{5 \sqrt{3} }{ { \sqrt{3} }^{2} } \\ = \frac{5 \sqrt{3} }{3} [/tex]
This is the answer.
One person can do a certain job in 10 minutes and another person to the same job and 15 minutes how many minutes will it take to do the job together
Answer:
6 minutes
Step-by-step explanation:
The equation for time together is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/10 + 1/15 = 1/c
Multiply by the least common denominator to clear the fraction
30c(1/10 + 1/15 = 1/c)
3c+ 2c = 30
5c = 30
Divide by 5
5c/5 = 30/5
c = 6
Answer:
6 minutes
Step-by-step explanation:
Person A does 1 job in 10 minutes.
In 1 minute, person A does 1/10 of the job.
Person B does the same job in 15 minutes.
In 1 minute, person B does 1/15 of the job.
Working together, in 1 minute the do
1/10 + 1/15 of the job.
Working together, they take t minutes to do the job.
In 1 minute, they do 1/t of the job.
1/10 + 1/15 = 1/t
3/30 + 2/30 = 1/t
5/30 = 1/t
1/6 = 1/t
t = 6
find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]
[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]
[tex]\\ \sf\longmapsto \theta=45°[/tex]
an expression that equals to 6/5
Answer:
(3+3) / (2+3) = 6/5
:)))
..........
write the factors of the following numbers 8
the factors of 8 are as follow:
1,2,4,8
Answer:
Factors of 8 are 1, 2, 4, and 8.
Step-by-step explanation:
hope it is helpful to you ☆☆
determine the condition under which job Shane should collect and explain
Answer:
By the 4th hour of working, both jobs pay 80, but Job B will pay less by the 5th hour, and continues to pay less as time progresses after that.
Draw the graph of Job b on the same graph as A and you'll see exactly when A passes B.
He'll make more at job A if he works more than 4-5 hours, but more at job B if he works less than 4-5 hours (again, don't know at exactly what time A passes B, wouldn't recommend putting "4-5" on a paper)
Step-by-step explanation:
hour job A pay job B pay
----------------------------------------------------------
0 $0 $30
1 $ 20 $42.50
2 $40 $55
3 $60 $67.50
4 $ 80 $80
5 $100 $ 92.50
Hope this helps!
