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Fudgin [204]
3 years ago
10

Solve for all values of x by factoring. X? – 48 = 1

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0

Answer:

Step-by-step explanation:

hello :

x²-48 =1

x²-48-1 =1-1

x²-49=0  means : x²-7²=0

by identity : a²-b²= (a-b)(a+b)

by factoring: (x-7)(x+7)=0

x-7=0 or x+7=0

x=7 or x= -7

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What is the value of x in the diagram?
PilotLPTM [1.2K]

Answer:

65

Step-by-step explanation:

They are vertical angles; so angles are congruent

*<em>Vertical angles are always congruent*</em>

<em>Congruent means equal or same.</em>

1) Since they are congruent, you form an equation.

<h2>145 = 2x + 15</h2>

2) Solve by subtracting 15 from both sides.

<h2>145 = 2x + 15</h2><h2>- 15            -15</h2><h2>----------------------</h2><h2>130 = 2x</h2>

3) Solve by dividing 2 from both sides

<h2>130/2 = 2x/2</h2>

4) Simplify

x = 65

7 0
3 years ago
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
krok68 [10]

Answer:

Mean = 51.4.

Mode = 49.

Median = 52.

Range = 6.

Step-by-step explanation:

Mean = Sum of all observations / Number of observations.

Mean = (49+49+54+55+52+49+52)/7

Mean = 360/7

Mean = 51.4 (to the nearest tenth).

Mode = The most repeated values = 49 (repeated 3 times).

Range = Largest Value - Smallest Value = 55 - 49 = 6.

Median = The central value of the data.

First, arrange the data in the ascending order: 49, 49, 49, 52, 54, 55, 55.

It can be seen that the middle value is 52. Therefore, median = 52!!!

7 0
3 years ago
Donnie has18 melons. Each melon weighs 3 pounds. How many pounds of melons does Donnie have in all? A. 6 pounds B. 11 pounds C.
pentagon [3]
18 x 3 = 54. So the correct answer is D. 54 pounds.
4 0
3 years ago
If the perimeter of a square is 32 inches, what is the area
makvit [3.9K]

Answer:

64

Step-by-step explanation:

A square has 4 sides. 32 divided by 4 is 8. 8 squared is 64.

3 0
3 years ago
There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The stude
Volgvan

Answer:

(A)

(t_0,P_0)=(0,900)

(t_1,P_1)=(3,1500)

(B)

m=200

(C)

P=200t+900

(D)

The high school's enrollment in 2017 is 2500

Step-by-step explanation:

Let's assume time starts since 2009

so, In 2009 , t=0

P=900

In 2012,

t=2012-2009=3

P=1500

(A)

So, we have points as

(t_0,P_0)=(0,900)

(t_1,P_1)=(3,1500)

(B)

we can use slope formula

m=\frac{P_2-P_2}{t_2-t_1}

we can plug values

m=\frac{1500-900}{3-0}

m=200

we know that

slope is rate of change of P with respect to time

so, slope means increase in population is 200 per year

(C)

we can use point slope form of line

y-y_1=m(x-x_1)

m=200

(t_0,P_0)=(0,900)

P-900=200(t-0)

P=200t+900

(D)

In 2017 ,

t=2017-2009=8

we can plug t=8

and we get

P=200(8)+900

P=2500

The high school's enrollment in 2017 is 2500

4 0
4 years ago
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