Given:
The system of equations is
[tex]y=1.5x-3[/tex]
[tex]y=1.5x+4[/tex]
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=1.5x-3[/tex]
[tex]y=1.5x+4[/tex]
On comparing these two lines with slope intercept form, we get
[tex]m_1=1.5,b_1=-3[/tex]
[tex]m_2=1.5,b_2=4[/tex]
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
Parallelogram ABCD has vertices A(-2, -52), B(-4, -52),
C-3, -2), and D(-1,-2). Find the vertices of
parallelogram A'B'CD after a translation of 2 units down.
Answer:
Step-by-step explanation:
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
6x^2 + 10x^2 = 16x^2
2x-x = x
-8 + 14 = 6
16x^2 + x + 6
Veronica cut a triangular piece of cookie cake with side lengths that measure 3.6 cm, 6 cm and 4.8cm.
Did Veronica cut out a right triangle?
Answer:3.6 + 4.8 > 6
Step-by-step explanation:
The answer is YES, the triangle that is cut down by Veronica is a right triangle.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in the question,
The lengths of the sides of the triangle are given as,
Let Base, b = 3.6 cm
Perpendicular, p = 4.8 cm
Hypotenuse, h = 6 cm
Now, use the equation of Pythagoras' theorem,
h² = p² + b²
6² = 4.8² + 3.6²
36 = 23.04 + 12.96
36 = 36
It satisfies Pythagoras' theorem, which means that it is a right triangle.
To know more about Triangle:
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Amanda plans on going to the amusement park this Friday. It costs $25.00 to
enter the park, and then $1.25 for every ride that Amanda goes on. What will be
the total cost if Amanda goes on 9 rides?
Answer:
$36.25
Step-by-step explanation:
To enter the park, Amanda pays 25 dollars.
+$25
It costs 1.25 for every ride that Amanda goes on.
Since we don't know the number of rides Amanda goes on, we will add a variable to represent the number of rides.
1.25x
Then, the passage says that Amanda goes on 9 rides. So, substitute 9 for x.
Equation: 25+1.25(9)
Then solve:
$36.25
A group of friends wants to go to the amusement park. They have $80 to spend on
parking and admission. Parking is $5, and tickets cost $18.75 per person, including
tax. Write and solve an equation which can be used to determine x, the number of
people who can go to the amusement park.
Equation:
DOLL
Answer:
4 people can go
Step-by-step explanation:
Answer:
Equation: 18.75x+5=80
Answer : x= 4
What is the y-intercept of the line represented by -2x + 3y = 12?
F -4
H 4
G 1/4
J 12
Answer:
The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.
Step-by-step explanation:
The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.
What is the area of the circle? *
10 ft
31.4 square feet
78.5 square feet
314 square feet
15.7 square feetT
Answer:
The answer is 314.159 which can be rounded to 314.
Patricia is 5 years older than Wyatt. The sum of their ages is 61. How old are Patricia and Wyatt?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is_________
Answer
w+(w+5)=61
Step-by-step explanation:
Answer:
an answer could be Patricia is 33 and wyatt is 28 so x=33
Step-by-step explanation:
Graph the line that passes through the points (1,-9) and (1,-3) and determine the equation of the line
Answer:
x = 1
Step-by-step explanation:
Note that the x-coordinates of the two given points are identical. This tells us immediately that the line is a vertical one whose slope is undefined.
The equation of this line is x = 1.
pls help me this was due a long time ago ❤️
Answer:
The second option
Who does Plato for money ?
Answer:
what are you talking about the picture is not there
Step-by-step explanation:
Answer:
i ate plato for money if thats what your asking
Step-by-step explanation:
Answer below........
ans: 70 ...( it is by ; 180-110) because of straight angle= 180...........
If the diameter of a tree trunk is growing 1/4 inch each year how many years will it take for the diameter to grow 8 inches
Denise makes three times as many chocolate cupcakes as vanilla. She makes three dozen strawberry cupcakes. Total cupcakes are 132, how many are chocolate?
Answer:
55
Step-by-step explanation:
A parabola has x-intercepts of (2, 0) and (-4, 0) and has a leading coefficient of 1. What is the equation of the parabola in standard form? *
9514 1404 393
Answer:
y = x^2 +2x -8
Step-by-step explanation:
For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.
y = (x -2)(x -(-4))
y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property
y = x^2 +4x -2x -8 . . . . use the distributive property again
y = x^2 +2x -8 . . . . . . . .equation in standard form
Did I put the letters in the right places?
Answer:
Yes u did thats what i did too XD
The sum of two number is 65 and their difference is 5.Set up and solve a system of equations to find the two number.Show work
Answer:
it 60
Step-by-step explanation:
60
pls help im new so pls can u help me
Factorise
x^2+18x+80
Answer:
(x + 10)(x + 8)
Step-by-step explanation:
Given
x² + 18x + 80
Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)
The factors are + 10 and + 8 , since
10 × 8 = + 80 and 10 + 8 = + 18 , then
x² + 18x + 80 = (x + 10)(x + 8) ← in factored form
Find the equation of the line use exact numbers
Y= ?x + ?
Fill in the ? Please I need help ASAP
Answer:
y=-2x+5
Step-by-step explanation:
I need help please please
Answer:
the right answer is three ok your welcome
Answer:
It is option 4
Continue the pattern by filling in the next 3 terms
-5, -2, 1,
Answer:
4, 7, 10
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 2 - (- 5) = 1 - (- 2) = 3
To obtain a term in the sequence add d = 3 to the previous term, then
a₄ = a₃ + 3 = 1 + 3 = 4
a₅ = a₄ + 3 = 4 + 3 = 7
a₆ = a₅ + 3 = 7 + 3 = 10
please help!!! Im very confused, giving brainleist
Answer:
For the boys box, the answer is 8.
For the Girls top box the answer is 18.
Step-by-step explanation:
81/ 72=1.125
9/ 8=1.125
18/16=1.125
Hope this helps! :)
GIVING BRAINLIEST!! PLZ HELP ME I HAVE TO FINISH BY SIX O CLOCK!!
This is number 155. Look at the picture below!
Solve:
-1/4a - 4 = 4
Answer:
a = -12
Step-by-step explanation:
-1/4a - 4 = 4
(-1/4a / -1/4) - 4 = (4 / -1/4)
a - 4 = -16
(a - 4 + 4) = -16 + 4
a = -12
I might have made some mistake but if my memory is right this is how you solve it.
25POINTS HELP!!!!!!!!!!!
You prepare to place an order for your workplace. You have a 30% off coupon. If your order costs $2630.00 without the coupon discount, what is the cost (before taxes) when you use your coupon?
Answer:
$1841.00
Step-by-step explanation:
2630.00 x .30 = 789.00
2630.00 - 789.00 = 1841.00
What is the slope of the line?help pls
Answer:
1
Step-by-step explanation:
I will give brainiest to whoever answers right PLEASE
Answer: questions aren't clear
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. D
2.B
3.B
4.C
5.D
6.A
Two of the following numbers add up to seventeen. 6 - 13 - 2 - 12 - 7 - 14
FALSE
TRUE
Answer:
false
Step-by-step explanation:
i tried everything
Can someone help me with this??
Answer:
the second option, a=3 b=3 c=5
Step-by-step explanation:
first I would change them both into an improper fraction:
9/2 divided by 5/4
dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.