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In-s [12.5K]
3 years ago
7

x - 48 =" alt="x {?}^{2} + 13x - 48 =" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Alexxx [7]3 years ago
4 0
X*2 + 13x - 48
x*2 +5x +8x - 48
x ( x +5) - 8 ( x +5)
(X+5)(x-8)
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A bike tire has a diameter of 16 inches. What is the radius of the bike? What is the circumference of the bike?
Alexeev081 [22]

Answer:

radius-8 inches cause math

circumference-50.27

Step-by-step explanation:

3 0
2 years ago
Which expression could be substituted for y in the second equation to find the value of x?
AlexFokin [52]

Answer:

x = 31 /4 , y = −11 /2

8 0
2 years ago
Match the right side of the equation to the left side<br> cot x sec^4 x=cot x+ 2 tan x+tan^3 x
Natalka [10]

Step-by-step explanation:

cot x + 2 tan x + tan³ x

Write in terms of sine and cosine:

(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)

Find the common denominator:

(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))

Add:

(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)

Factor:

(sin² x + cos² x)² / (sin x cos³ x)

Pythagorean identity:

1 / (sin x cos³ x)

Multiply top and bottom by cos x:

cos x / (sin x cos⁴ x)

Simplify:

cot x sec⁴ x

5 0
3 years ago
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
klemol [59]

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

Also, number of people who use gym and track=11+23+19+6+14+24=97”

8 0
3 years ago
Read 2 more answers
If the height of a triangle
Dvinal [7]

Answer:

75 cm

Step-by-step explanation:

To find the area of a traingle you use the following equation

b*h*.5

We know that the height of the triange is three times the base and that the area is 937.5

This means that

b*3b*.5=937.5

We can combine this and get 1.5b^2=937.5

We can then divide by 1.5 to get b by itself

b^2=625

Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)

So we know that b=25 and that h=3b which means that the height is 75 cm

5 0
3 years ago
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