Answer:
Please check the explanation.
Step-by-step explanation:
We know that when y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where 'k' is called the 'constant of direct variation'.
We are given that x = -2 and y = -2
Thus,
The equation is:
y = kx
substituting x = -2 and y = -2
-2 = k(-2)
-2 = -2k
We can further simplify the equation to determine the value of 'k'
so
dividing the equation by -2
-2/-2 = -2k/-2
1 = k
Therefore, the value of k = 1
Thus, the equation becomes
y = kx
substituting k = 1 in the equation
y = (1)x
y = x
Therefore, an equation that relates x and y is:
y = x
The length of the rectangle below is
(2x-3) and the width is (x+7). Find the
area of the rectangle in terms of x.
Step-by-step explanation:
[tex]area \: of \: rectangle \: = \: length \: \times width \\ area = (2x - 3) \times (x + 7) \\ = 2 {x}^{2} + 14x - 3x - 21 \\ = 2 {x}^{2} + 11x - 21[/tex]
X= 1/3
y = 3/5
z = 2 1/4
Work out the value of x x y x z
Give your answer as a fraction in its simplest form.
Answer:
3x*y*z
1/3 X 3 = 1/3 X 3/1 = 3
3*y*z
3 *3/5 = 3/1 X 3/5 = 9/5
9/5 * 1/4 = 9/20
9/20
Enter the equation that describes the line in slope-intercept form. The points (7, 9) and (2, −9) are on the line y = .
Given:
A line passes through two points (7, 9) and (2, −9).
To find:
The slope intercept form of the line.
Solution:
A line passes through two points (7, 9) and (2, −9), so the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-9=\dfrac{-9-9}{2-7}(x-7)[/tex]
[tex]y-9=\dfrac{-18}{-5}(x-7)[/tex]
[tex]y-9=\dfrac{18}{5}(x-7)[/tex]
Using distributive property, we get
[tex]y-9=\dfrac{18}{5}(x)-\dfrac{126}{5}[/tex]
[tex]y=\dfrac{18}{5}(x)-\dfrac{126}{5}+9[/tex]
[tex]y=\dfrac{18}{5}x+\dfrac{-126+45}{5}[/tex]
[tex]y=\dfrac{18}{5}x-\dfrac{81}{5}[/tex]
Therefore, the slope intercept form of the line is [tex]y=\dfrac{18}{5}x-\dfrac{81}{5}[/tex].
Which pairs of polygons are similar? Plz help
Answer:
Option (1) and (3)
Step-by-step explanation:
Properties for the similarity of two figures,
1). Angles of the figures should be same.
2). Corresponding sides of both the figures should be proportional.
Since all the pairs have same angles, we will use the second property to prove these polygons similar.
Option (1)
If both the polygons are similar,
[tex]\frac{3}{7.5}=\frac{5}{12.5}[/tex]
[tex]\frac{1}{2.5}=\frac{1}{2.5}[/tex]
Since, sides are proportional,
Both the polygons are similar.
Option (2)
If the given triangles are similar,
Ratio of the sides of both the triangles will be proportional,
[tex]\frac{18}{8}= \frac{24}{15}[/tex]
[tex]\frac{19}{4}=\frac{8}{5}[/tex]
But [tex]\frac{19}{4}\neq \frac{8}{5}[/tex]
Therefore, triangles are not similar.
Option (3)
If both the rectangles are similar,
[tex]\frac{22}{13.75}=\frac{16}{10}[/tex]
1.6 = 1.6
True.
Therefore, both the rectangles are similar.
Option (4)
If both the triangles are similar,
[tex]\frac{8}{5}=\frac{7}{5}[/tex]
1.6 = 1.2
But 1.6 ≠ 1.2
Therefore, these triangles are not similar.
50 POINTS Which of these tables represents a linear function?
Answer:
B
Step-by-step explanation:
It has a constant slope, therefore it is a straight line.
5 in.
21 in.
11 in.
what is the area? and what are the steps to do it
Find the slope between
the two ordered pairs:
(1,5) and (-2,-7)
Answer:
4
Step-by-step explanation:
Hiram drove 15 miles in 12 minutes. If he
continues driving at this rate, how many
miles can he drive in 4 hours?
if y=45 and x=75
what is 5x+4y=
Step-by-step explanation:
5x+4y
5×45+4×75
225+300
525
is y= -2/5 x + 3
y=2/5 x +3 parallel ?
Answer:
No
Step-by-step explanation:
They are intercepting each other
Answer: No, y = -2/5x + 3 and y = 2/5x + 3 are not parallel.
Step-by-step explanation:
Generally speaking, parallel lines are lines that do not intersect. This means that they always have the same slope and different y intercepts, like y = 4x + 3 and y = 4x - 5.
On the other hand, perpendicular lines are lines that intersect at 90° angles. They have inverse slopes, or slopes that are the reciprocals of each other. Inverse slopes should be completely opposite to each other, which means flipping the numerator and the denominator and also changing the sign. One example is y = 2x + 4 and y = -1/2 x + 4.
Back to lines y = -2/5x + 3 and y = 2/5x + 3, they are not parallel because they have different slopes and the same y intercept. They are also not perpendicular because their slopes are not the inverses of each other.
You can also tell if the lines are parallel by inserting them into Desmos and seeing how they look. In this case, the lines intersect, and so once again they are not parallel.
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero? –90 –78 –66 –12
Given:
A student has $78 in his checking account.
The student spends $12 on lunch.
To find:
The number that could be combined with the amount left in the account to make zero.
Solution:
We have,
Amount in account = $78
Money spend on lunch = $12
Remaining amount = Amount in account - Money spend on lunch
= $78 - $12
= $66
Remaining amount is $66. So, -66 could be combined with the amount left in the account to make zero.
[tex]66+(-66)=66-66=0[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
brainiest pls
for brainly and points
Answer:18
Step-by-step explanation:
C) 18 is the correct answer.
2m/3 +5=17
or,2m/3 =17-5
or,2m/3 =12.
Now doing criss cross multiplication,
or,3×12=2m×1
or,36=2m
m=18
If you found my answer useful then please mark me brainliest.
Give y = 3x - 1, if x decreases by 2, how much does y change ?
hello look below please
Answer:The speed stays the same as the car travels a distance of 40 miles in one hour.
Step-by-step explanation:
The meaning of “constant speed” is when the speed of an object remains the same speed, therefore it does not increase nor decrease, it stays at a constant speed.
Helena is going for a holiday to France. She changes 900 Singapore Dollars (SGD) into Euros (EUR) with no commission charged. The exchange rate between EUR and SGD is:
1 EUR = 1.49 SGD
(a) Calculate the value of 900 SGD in EUR to the nearest whole number.
At the end of Helena’s holiday in France she has 155 EUR. She converts this back to SGD at a bank, which does not charge commission, and receives 227.85 SGD.
(b) Find the exchange rate of this second transaction.
Answer:
a) 900 SGD = 604.03 EUR
b) 1 EUR = 1.47 SGD
Step-by-step explanation:
It is given that:
1 EUR = 1.49 SGD
a) Value of 900 SGD.
1 SGD = [tex]\frac{1}{1.49}[/tex]
900 SGD = [tex]\frac{1}{1.49}*900[/tex] = 604.03 EUR
b) 155 EUR = 227.85 SGD
1 EUR = [tex]\frac{227.85}{155}[/tex]
1 EUR = 1.47 SGD
Thus,
a) 900 SGD = 604.03 EUR
b) 1 EUR = 1.47 SGD
Find the value of x.
Answer:
33
Step-by-step explanation:
explain how you can start with 470 and add on to solve
Answer:
Have 470 there and then add the same amount to it multiple times to see if you get the solution.
Step-by-step explanation:
^ There.
1. How long is segment ML ?
Answer:
19
Step-by-step explanation:
KM=4
KN=9
9-4=5
MN=5
NL=14
5+14=19
The Econo Motel charges 260 for 4 nights. At that rate, how many would 7 nights cost?
Answer:
$455
Step-by-step explanation:
First, find the cost of one night. It is given that it costs $260 for 4 nights. Simply divide 260 with 4:
260/4 = 65
It costs $65 per night.
Next, find the cost for 7 nights. Simply multiply 65 with 7:
65 x 7 = $455
$455 would be the cost for 7 nights.
~
please help 20 points geometry triangle questions
Answer:
1. yes, SAS
2. yes, ASA
3. yes, SSA
4. yes, SAS
5. no
6. yes, HL and SSA
7. yes, HL and ASA
8. yes, ASA
9. no
10. yes, SSS
11. yes, ASA
12. yes, HL and SSA
13. yes, SAS
14. no
15. no
16. no
17. yes, ASA
18. yes, ASA
19. yes, ASA
5. Abdi has 12 shirts, 8 pairs of jeans, and 5 pairs of shoes.
What percent of his clothing is each type? (hint: remember
you need a total first)
Shirts:
Jeans:
Shoes:
Answer:
Shirts = 12/25 = 48%
Jeans = 8/25 = 32%
Shoes = 5/25 = 20%
Step-by-step explanation:
Un tren de carga va a una velocidad constante de 60 km/h y pasa por un túnel de 340 m de largo. ¿Cuánto mide el tren, si es que para cruzar completamente el túnel se demora tres cuartos de minuto?
Answer:
the length would be 410.15m
Step-by-step explanation:
The computation of the length is as follows;
Length = 340m
Let us assume x be train length
Now
the distance traveled by the train is (L + x)
d = L + x
v = 60 km ÷ h
= 16.67 m / s
And,
t = (3 ÷ 4) (60)
= 45s
Now
d = vt
L + x = (16,67) (45)
x = (16,67) (45) - 340m
x = 410.15m
Hence, the length would be 410.15m
what's the capital city of South Sudan
Answer:
juba
Step-by-step explanation:
Answer:
Juba is the capital city of South Sudan
I Hope It HelpsWhich of the following is the inverse of y=3^x
Find the Missing length indicated
Answer:
dhjdhshsbdbdhhdhehthfixudhdjfbhf
ooopsss my baby sissy
Please help me in math.
The measure of the angle shown is....
Answer:
i think C im not really sure but i hope im correct maybe >.<
put those numbers from least to greatest : 40.6, 64, 6.4, 0.46
Aiden fell asleep 18% of the way through trip. If Aidan fell asleep after they had traveled 72 miles what was the total length of the trip.
Answer:
the total length of the trip is 400 miles
Step-by-step explanation:
18% = 72 miles
1% = 4 miles
100% = 400 miles
Answer: 406
Step-by-step explanation:
1- divide 18% by 100
2- then, do some more math
3- figure out the answer
(GIVING BRAINLIEST!!)
Solve 1/5 ÷ 3
A) 1/7
B) 1/8
C) 1/10
D) 1/15
Answer:
D
Step-by-step explanation:
because 1/5 x 1/3 = 1/15
Answer:
1/15
Step-by-step explanation:
Keep, Change, Flip
(Keep the first fraction as is, change the division sign to multiplication sign, flip the second fraction)
New equation
(1/5*1/3)
Equals 1/15
Hope I helped!!! :)
Your sister is getting married this summer and she asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.