Given:
The first equation of the system of equations is
[tex]5x+2y=-4[/tex]
To find:
The equation that gives a system with no solution.
Solution:
We have,
[tex]5x+2y=-4[/tex]
It can be written as
[tex]2y=-5x-4[/tex]
[tex]y=\dfrac{-5x-4}{2}[/tex]
[tex]y=-\dfrac{5}{2}x-2[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-\dfrac{5}{2},b=-2[/tex]
It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.
Slope of parallel lines are same but the y-intercepts are different.
From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.
The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].
Therefore, the correct option is D.
SYMBOL THAT INDICATES THE ROOT OF THE NUMBER
Answer:
The root symbol (√ ) is used to represent the square root of any number.
Answer:
[tex]\sqrt{x}[/tex]
Square Root
can someone please explain this
Answer:
14 cm²
Step-by-step explanation:
1/2 (7•4)
1/2 (28)
14
Answer:14
Step-by-step explanation:
I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14
Cool down tickets, a school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult tickets cost $5. If the school sells x child tickets and y adults, then the equation 3x + 5y=500 expresses the fact that school raised exactly $500 from ticket sales. Solve thevequation for x. 2. Explain whenot might be helpful to resrite the equation this way.
Answer:
x = 1/3(500 + 5y)
Step-by-step explanation:
Given that:
x child tickets for $3
y adult tickets for $5
3x + 5y = 500
To solve for x
3x = 500 + 5y
Divide through by 3
3x /3 = 500/3 + 5y/3
x = 1/3(500) + 1/3(5y)
x = 1/3(500 + 5y)
2.)
If the total number of tickets sold was made available, then a more direct solution would have been obtainable as we can have two different equations;
One for the total number of ticket sales and the other of the total revenue from ticket sales.
308 miles in 7 hours. Find the
rate and unit rate in miles per
hour. Please help :) It’s 15 points.
Answer:
They did 44 miles per hour
Step-by-step explanation:
308 / 7 = 44
help please
-8+(-5)+9+11=
Answer:
=7
Step-by-step explanation:
= -8+(-5)+9+11
= -8-5+20
= -13+20
= 7
What is 0.3709 rounded to 2 decimal places?
Answer:
If its to the left the answer is 1 and if its to the right the answer is 10 i think
Step-by-step explanation:
sorry if its wrong
The number 650,000 written in scientific notation would be _____.
A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
9514 1404 393
Answer:
a) difference of charges is 15 -0.05m
b) Justin should rent from EnvoCar
Step-by-step explanation:
a) EnvoCar charges ...
c = 65 +0.10m . . . . . c = charge for m miles
FreedomRide charges ...
c = 80 +0.05m
Then FreedomRide charges more by ...
(80 +0.05m) -(65 +0.10m) = 15 -0.05m
__
b) If Justin's round-trip distance is 250 miles, the extra charge from FreedomRide is ...
15 -0.05(250) = 2.50
For that distance, EnvoCar costs less. Justin should rent from EnvoCar.
_____
Additional comment
The additional charge from FreedomRide is zero when m=300. Above that mileage, FreedomRide charges less.
What is BC in simplest radical form
Answer:
Step-by-step explanation:
Draw altitudes from A and D to get two 30°-60°-90° triangles.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
BC = 3√3 + 16 + 9√3 = 16 + 12√3
a straight line has equation 4y-5x=2 work out the gradient of this line
Answer:
gradient = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
4y - 5x = 2 ( add 5x to both sides )
4y = 5x + 2 ( divide the terms by 4 )
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
with gradient m = [tex]\frac{5}{4}[/tex]
Frankie started cleaning her house at 1:30 p.M and finished cleaning at 6;30 p.M how long did Frankie clean
Answer:
5 hours
Step-by-step explanation:
Start time = 1:30 p.m
Finishing time = 6:30 p.m
Time taken :
Finishing time - start time
6:30 p.m - 1.30 p.m
= 5 hours
how do i solve 2.5a+12=5a
Answer:
a
=
4.8
Step-by-step explanation:
there
between which two consecutive integers does the square root of 830 lie
28^2=784
29^2=841
784<830<841
therefore sqrt784<sqrt830<sqrt841
therefore 28<sqrt830<29
Done!
Find the height of a cone that has a radius of 3 in and a volume of 96.91 in.
Answer:
thank you lil shawty
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
17
25
Answer:
the real answer is 48 but if you round it to the nearest tenth it's 50
Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.
What property is -2x–6+4=-2? (see image)
Select one or more expressions that together represent all solutions to the equation.
sin(x)=-0.7
Answer:
A. [tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]
B. [tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]
Step-by-step explanation:
The negative value of the sine function indicates that [tex]x[/tex] is located at third and fourth quadrants. Besides, this function has a period of 360º. There are two families of solutions:
[tex]x_{1} = \sin^{-1} (-0.7)[/tex]
[tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]
[tex]x_{2} = \sin^{-1} (-0.7)[/tex]
[tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]
Hence, right answers are A and B.
Helpppp I’m marking brainliest
Answer:
y=x+6
tell me if its right
Answer: y = x + 6
Step-by-step explanation:
The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount? Explain
Answer:
$16.25. You do 30% of $12.50 and then add it on that is pretty much it
Step-by-step explanation:
Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
If r = .15, this indicates
Answer:
Then D=.30
Step-by-step explanation:
Diameter is two times the radius
I think this is correct I'm not to sure
hope this helps :)
In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x
terms.
7x+ 3y = 5
2x+5v=-11
What are the resulting equations?
Answer:
14x + 6y = 10
14x + 35y = -77
Step-by-step explanation:
Multiply the top one by 2
14x + 6y = 10
Multiply the bottom one by 7
14x + 35y = -77
His next step is to subtract. You could have done this by multiplying the top one by -2
-14x - 6y = - 10
14x + 35y = -77 Now all you need do is add. The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.
Answer:
A) 14x + 6y = 10
-14x - 35y = 77
Step-by-step explanation:
multiple the first equation by 2 and the second equation by -7
2( 7x + 3y = 5)
-7( 2x + 5y = -11)
14x + 6y = 10
-14x - 35y = 77
find the missing value so that the line passing through the points has the given slope.
(10, y) and (3, 4); m= - 2/7
Answer:
y = 2
Step-by-step explanation:
use slope formula:
(4 - y) / (3 - 10) = -2/7
4-y / -7 = -2 /7
cross-multiply:
7(4 - y) = (-7)(-2)
28 - 7y = 14
-7y = -14
y = 2
A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What is the probability of the sum of the number's digits is odd?
Answer:
0.48
Step-by-step explanation:
Given the data:
X:
10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98
Sum of each of the numbers :
1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17
Probability that sum of the number's digit is odd:
Number of odd sum / total numbers
Number of odd sum = 12
Total numbers = 25
12 / 25
= 0.48
Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that
Answer:
128mm
Step-by-step explanation:
Given
[tex]Pipe = 88mm[/tex]
[tex]Ope\ nnings = 40mm\ larger[/tex]
Required
Determine the length of the openings of the pipe
To do this, we simply add 40mm to the length of the pipe.
This gives:
[tex]Ope\ nings = 88mm + 40mm[/tex]
[tex]Ope\ nings = 128mm[/tex]
Hence, the opening must be 128mm
How many degrees is Angle 1?
1
1
30
80
Answer:
angle 1 is 30 degrees
Answer:
80 is the correct ansqer
HElp please thanks I’ll give Brainly
Answer:
3
Step-by-step explanation:
its 3 just trust me
In triangle ABC, point D is the centroid, and BD = 6. Find BE.
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.
[tex]2x=6[/tex]
[tex]x=\dfrac{6}{2}[/tex]
[tex]x=3[/tex]
Now,
[tex]BE=BD+DE[/tex]
[tex]BE=6+x[/tex]
[tex]BE=6+3[/tex]
[tex]BE=9[/tex]
Therefore, the measure of side BE is 9 units.
The graph of a liner function is shown on the coordinate grid. what is the slope of the graph of this function?
A-7/3
B-3/7
C- -7/3
D- -3/7
Answer: C -7/3
Step-by-step explanation: Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)
A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm