Answer:the anS is(A):The mode for the students is{{ 2 }and the mode for the teachers is {4}
Step-by-step explanation:HOPE MY ANS HELPS CUZ I ATTEMPTED THIS QUESTION IN A
QUIZ BEFORE
b. how long does it take you to jog around the park? it takes you minutes to jog around the park.
Answer:
Part a) The system of equations is
Part b) The number of minutes it takes you to jog around the park is
Step-by-step explanation:
Part a) Write a system of linear equations
Let
x-----> the number of minutes it takes you to jog around your block
y---> the number of minutes it takes you to jog around the park
we know that
----> equation A
----> equation B
Part b) How long does it take you to jog around the park?
Multiply equation A by -1 both sides
------> ----> equation C
Adds equation B and equation C
Find the value of x
Write the information as a system of linear equations: 2x + y = 10 and 2x + 3y = 22. Solving these equations, we find that it takes 6 minutes to jog around the park.
Given the information provided in the question, we first need to represent the given information through a system of linear equations. Following the instructions in the question, let x represent the time in minutes to jog around the block, and y represent the time in minutes to jog around the park.
From the given problem, we know:
To find how long it takes you to jog around the park (the value of y), we can use the method of substitution or elimination. In this case, let's use the method of substitution: we can start by solving the first equation for 2x, giving us 2x = 10 - y.
Substituting that into the second equation gives us 10 - y + 3y = 22, simplifying which leads to 2y = 12, and further simplification yields y = 6. Therefore, it takes you 6 minutes to jog around the park.
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a2 + 4a + 16
a2 + 14a + 49
a2 + 15a + 75
a2 + 26a + 169
The exactly two answers are correct are a² + 14a + 49 and a² + 26a + 169.
The condition for the perfect trinomials is if the coefficient of a² = 1 and If you divide the middle number coefficient by 2 and you square it you get the last term.
For all the options, the coefficient of a² = 1.
a² + 4a + 16.
Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.
a² + 14a + 49.
Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal to the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²
Similarly, if you test the last option.
a² + 26a + 169.
Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal to the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²
The only two options are: a² + 14a + 49 and a² + 26a + 169. Other options do not pass this test.
To know more about trinomials follow
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Answer: 36 is your answer
Answer:
-1/2
Step-by-step explanation:
Use the slope formula.
y2-y1/x2-x1
Plug in the values and solve.
6-7/3-1 = -1/2
Answer:
m=-1/2
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(6-7)/(3-1)=m
m=-1/2
m is slope