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Usimov [2.4K]
4 years ago
9

The vertical lines that intersect and form 90 degree angles are called

Mathematics
1 answer:
Colt1911 [192]4 years ago
5 0

Answer:

Its

helpful

90 degree angles

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What is the fourth term of the expansion of the binomial (2x + 5)^5?
Alik [6]
Ok, 1 bionimial theorem coming right up

for a binomial expansion of (a+b)^n
the kth term is
\left(\begin{array}{ccc}n\\k-1\end{array}\right)a^{n-(r-1)}b^{k-1}
\left(\begin{array}{ccc}n\\k-1\end{array}\right) means \frac{n!}{(k-1)!(n-(k-1))!}

n is 5
4th term
4-1=3
and a=2x
b=5
so
\left(\begin{array}{ccc}5\\4-1\end{array}\right)(2x)^{5-(4-1)}5^{4-1}
\left(\begin{array}{ccc}5\\3\end{array}\right)(2x)^{2}5^{3}
\left(\begin{array}{ccc}5\\3\end{array}\right)(2x)^{2}5^{3}
(10)(4x^2)(125)
5000x^2 is the 4th term



7 0
3 years ago
What is the length of AB?
Tresset [83]

Answer:

angle B'CA'= angle BCA..... (common angle)

angle B'A'C = angle BAC.....(corresponding angels)

therefore,

ΔCB'A' ~ ΔCBA. ......(by A-A test of similarity)

therefore,

B'A'/ BA. = CA'/ CA....(congruent sides of congruent triangles)

now, B'A' = 5, CA'= 6 , CA = 6 + 3 = 9

5 / BA. = 6 / 9

therefore, 5 / BA. = 2 / 3

ba \:  =  \frac{5 \times 3}{2 }  \\  =  \frac{15}{2}  \\  = 7.5

Answer : AB = 7.5 units

8 0
3 years ago
the sum of two numbers is 75. The second number is three less than twice the first. what is the larger number?
KatRina [158]

Answer:

49

Step-by-step explanation:

If the smaller number is

x

, then the larger number is

2

x

−

3

Explanation:

(

x

)

+

(

2

x

−

3

)

=

75

3

x

−

3

=

75

3

x

=

78

x

=

26

The numbers are 26 and 49.

5 0
3 years ago
Make y the subject of the formula<br><br>X= 4-3y/y-5<br>​
BigorU [14]

Step-by-step explanation:

X= 4-3y/y-5

x(y-5) = 4-3y

xy -5x = 4 -3y

xy+3y = 4+5x

y(x+3)= 4+5x

y = (4+5x)/(x+3)

8 0
3 years ago
Juan has $8 less than julio together they have $48 how much does each have ?
elena55 [62]
Juan has $20 and Julio has $40
3 0
4 years ago
Read 2 more answers
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