If two lines are parallel, which statement must be true?A.The two lines have undefined slopes.
B.The two lines have opposite slopes.
C.The two lines have zero slopes.
D.The two lines have the same slope.
Answers
Answer:
Option (d) is correct.
The two lines have the same slope.
Step-by-step explanation:
Given : two parallel lines
We have to choose one statement that is true regarding Parallel lines.
Parallel lines are those lines that do not intersect each other and distance between them remains same throughout the plane.
Also , parallel lines have same slope.
From the graph attached below both lines have parallel and have same slope.
equation of line :
2x + 3y = 10 and 6x + 3y = 10
Both are parallel and have slope -2
Thus, Option (d) is correct.
The two lines have the same slope.
When two lines are parallels, they must have the same slope and they never intersect, then answer is:
Option D. The two lines have the same slope.
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Answers
So
7x-14= 3x+ 12
Then subtract the x value from one side and move it to the other
Example
7x-14=3x+12
-3x. -3x
Therefore you’d have
4x-14=12
then move your negative 14
4x-14=12
+14 +14
4x=26
Divide both sides by 4
X=6.5
Answer:
x=6.5
Step-by-step explanation:
7(x-2)=3(x+4)
Step 1. Distribute
7x-14=3x+12
Step 2. Combine like terms and calculate
4x=12+14
Step 3. Divide 4 on both sides
4x=26
Solution:
x=6.5
Hope this helps! :)
Answers
Answer:
Options B,C and E are correct choices.
Step-by-step explanation:
We are asked to find correct answers for the given box and whisker plots.
Let us our options one by one.
A. This option is false as lowest value for children's cereals is 30 and highest value for adults is 35.
B. This option is correct. We can see our upper value for combined range will be 60 and lower value will be 5 and range is upper value- lower value.
C. Since we know that we can find spread of data by its range.
So option C is correct indeed.
D. This options is false because for adults mean and median are different while for children mean and median are same.
E. We can see that median for children's cereals is 45 and it is about 12 for adults.
We can see that . So median amount of sugar in children's cereals is 3 times as much as the median amount of sugar in adult's cereals.
Therefore, options B,C and E are correct choices.
Answers
y = x(x - 2) + 2(x - 2)
y = x(x) - x(2) + 2(x) - 2(2)
y = x² - 2x + 2x - 4
y = x² - 4
18 ÷ 12
B
12 ÷ 18
C
12 x 18
D
12 x 12 x 18
Answers
Answer:
B
Step-by-step explanation:
Answers
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
3j(3j + 5) - 5(3j + 5)
3j(3j) + 3j(5) - 5(3j) - 5(5)
9j² + 15j - 15j - 25
9j² - 25
b. (4h + 5)²
(4h + 5)(4h + 5)
4h(4h + 5) + 5(4h + 5)
4h(4h) + 4h(5) + 5(4h) + 5(5)
16h² + 20h + 20h + 25
16h² + 40h + 25
c. (g - 2)²(g + 2)²
(g - 2)(g - 2)(g + 2)(g + 2)
(g(g - 2) - 2(g - 2))(g(g + 2) + 2(g + 2))
(g(g) - g(2) - 2(g) + 2(2))(g(g) + g(2) + 2(g) + 2(2))
(g² - 2g - 2g + 4)(g² + 2g + 2g + 4)
(g² - 4g + 4)(g² + 4g + 4)
g²(g² + 4g + 4) - 4g(g² + 4g + 4) + 4(g² + 4g + 4)
g²(g²) + g²(4g) + g²(4) - 4g(g²) - 4g(4g) - 4g(4) + 4(g²) + 4(4g) + 4(4)
g⁴ + 4g³ + 4g² - 4g³ - 16g² - 16g + 4g² + 16g + 16
g⁴ + 4g³ - 4g³ + 4g² - 16g² + 4g² - 16g + 16g + 16
g⁴ - 12g² + 4g² + 16
g⁴ - 8g² + 16
He can make 12 over 40 of a bottle of honey with 3 over 8 pound of honey in each bottle.
He can get 2 and 2 over 15 pounds of honey if he divides the honey into 3 over 8-pound portions.
He can get 12 over 40 pound of honey if he divides the honey into 3 over 8-pound portions.
Answers
A statement which shows the quotient and gives the most likely explanation is: A. He can make 2 2/15 bottles of honey with 3/8 pound of honey in each bottle.
What is quotient?
Quotient is a mathematical expression that is simply used to represent the division of a number by another number.
How to determine the quotient?
4/5 ÷ 3/8
4/5 × 8/3
32/15 = 2 2/15.
This ultimately implies that, Sean can make 2 2/15 bottles of honey with 3/8 pound of honey in each bottle.
Read more on quotient here: brainly.com/question/748723
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