MATHEMATICS HIGH SCHOOL

If o is in the middle of l t, where exactly is it located? If l t =16 cm, what is l o and o t

Answers

Answer 1

Answer:

Answer:

$LO = OT = 8cm$

Step-by-step explanation:

Given

LT = 16cm

Required

Determine LO and OT

First, we have:

$LO + OT = LT$

From the question, we understand that O is the middle of LT

This implies that LO = OT

Substitute OT for LO in the above formula

$OT + OT = LT$

$2OT = LT$

Divide both sides by 2

$OT = (1)/(2)LT$

Substitute 16cm for LT

$OT = (1)/(2) * 16cm$

$OT = 8cm$

Recall that LO = OT

So;

$LO = OT = 8cm$

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What is the output value for the following function if the input value is 1?y = 3x + 1

32
5
4
0

Answers

If you would like to find the output value for the following function if the input value is 1, you can calculate this using the following steps:

input value ... 1
y = 3x + 1 = 3 * 1 + 1 = 3 + 1 = 4

The correct result would be 4.

-7(1+7n)=36-6n this is a very hard solving equations question I don't get HELP!!!

Answers

n=-1 distribute then isolate your variable and divide

-7(1 + 7n) = 36 - 6n
-7(1) - 7(7n) = 36 - 6n
-7 - 49n = 36 - 6n
   +49n    +49n
   -7 = 36 + 43n
   -36   -36
      -43 = 43n
   43    43
      -1 = n

Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?

Answers

We will have to use the distance formula in order to determine the lengths of each side of the triangle.

Distance formula: $\sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2) }$

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2

so
$\sqrt{(-2 - 1)^(2) + (2 - 7)^(2) }$
$\sqrt{(-3)^(2) + (-5)^(2) }$
$√(9 + 25 )$
AB = $√(34)$ or (rounded to the nearest tenth) ≈ 5.8

Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2

So
$\sqrt{(4 - -2)^(2) + (2 - 2)^(2) }$
$\sqrt{(6)^(2) + (0)^(2) }$
BC = $√(36 )$ or 6

Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7

So
$\sqrt{(1 - 4)^(2) + (7 - 2)^(2) }$
$\sqrt{(-3)^(2) + (5)^(2) }$
$√(9 + 25)$
CA = $√(34)$ or (rounded to the nearest tenth) ≈ 5.8

So let's recap:

AB ≈ 5.8
BC = 6
CA ≈ 5.8

So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.

The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.Rate vs. Time
Rate (mph)
30
40
50
60
Time (h)
2.5
1.875
1.5
1.25

If one day Paula rides a scooter to work at a constant rate of 24 miles per hour, how long should it take her?
2.625 hours
2.75 hours
3.125 hours
3.75 hours

Answers

From the values in the table, we can multiply the speed by the time to find out the amount of miles she travels a day. This is shown below:

30 mph * 2.5 hours = 75 miles
40 mph * 1.875 hours = 75 miles
50 mph * 1.5 hours = 75 miles
60 mph * 1.25 hours = 75 miles

Therefore, she travels 75 miles to work. Given a speed of 24 mph, we divide 75 miles by 24 to find out how long it takes her to travel that far:

75 miles / 24 mph = 3.125 hours

Based on the distance that Paula travels to work, and the constant speed she uses, the trip will take her 3.125 hours.

How long does Paula take to get to work?

First find the distance she travels:

= Rate x Time

= 30 x 2.5

= 75 miles

The time taken on this particular day will be:

= Distance / Speed

= 75 / 24

= 3.125 hours

Find out more on distance travelled at brainly.com/question/2854969.

#SPJ5

Round 125,458 to the nearest hundred thousand

Answers

To solve this you need to look at the number to the right of the hundred thousand place. So that would be "2" The rule is if that number is less than 5 round down, more than 5 round up.

So 125,458 = 100,000 to the nearest hundred thousand

In the ordered pair (0,4), what does the 4 represent in terms of its location on the coordinate plane?

Answers

In this question because x is 0 you can say 4 is point of y or y-intercept
but if y was 0 then x was 4 so the point was x-intercept :)))
I hope this is helpful
have a nice day

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