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NARA [144]
3 years ago
9

The product of two consecutive negative even integers is 24. Find the largest integer.

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

You might be interested in
Complete the table below using the Midpoint and Distance Formulas.
Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let A(2, 4) = (x_1, y_1)

B(2, -6) = (x_2, y_2)

Thus:

M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})

M(\frac{4}{2}, \frac{-2}{2})

M(2, -1)

Length of AB:

Distance between A(2, 4) and B(2, -6):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

A(2, 4) = (x_1, y_1)

B(2, -6) = (x_2, y_2)

AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}

AB = \sqrt{(0)^2 + (-10)^2}

AB = \sqrt{0 + 100} = \sqrt{100}

AB = 10

5 0
3 years ago
Calculate the unshaded part ​
valina [46]

Answer:

4×3=12

answer=12

Step-by-step explanation:

2.5 is the diameter so you don't use that but

if you want the area it is 12

if you want the perimeter it

will be 3+3+4+4

Which is 6+8=14

4 0
3 years ago
Write a sentence to represent the solution set in the context of the problem.
Nikolay [14]

Answer:

6 sales

Step-by-step explanation:

(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)

Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? <em>Answer </em>-- Jake needs to make 6 sales of $60 to buy the new computer.

MATH -----

$6 x $60 = $360

$360 + $560 = $920

6 0
2 years ago
3. Scout is conducting a research project on traffic patterns
ddd [48]

Answer:

7:45

Step-by-step explanation:

Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on

Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105

Elm St. 15, 30, 45, 60, 75, 90, 105

They will both turn on 105 minutes or 1 hour and 45 minutes from 6

6 + 1 hr 45 min = 7:45

8 0
3 years ago
Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
faust18 [17]

Answer:

The length of the side PC is 34 cm.

Step-by-step explanation:

We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.

Suppose BP = 16 cm and AD = 90 cm.

As, it is given that AD = 90 cm and the three sides AB = BC = CD.

From the figure it is clear that AD = AB + BC + CD

So, AB = \frac{90}{3} = 30 cm

BC = \frac{90}{3} = 30 cm

CD = \frac{90}{3} = 30 cm

Since the triangle, BPC is a right-angled triangle as \anglePBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.

Now, the Pythagoras theorem states that;

\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}

\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}

\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}

\text{PC}^{2} = 256+900 = 1156

\text{PC}=\sqrt{1156}

PC = 34 cm

Hence, the length of the side PC is 34 cm.

4 0
3 years ago
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