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Leto [7]
3 years ago
12

If f(x) =2x-6 , f(h+9)

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0
<span>f(h + 9) = 2(h + 9) - 6 = 2h+12</span>
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If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
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5 2/3 divided by 4 this is kahnacdemy
n200080 [17]

Answer:

answer is 17/12 (1.41)

6 0
3 years ago
Proving trapezoid theorems Geometry
Artist 52 [7]

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

\overline {BD} \cong \overline {CA} by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement {}                   Reason

ABCD is a trapezoid {}  Given

\overline {BA} \cong \overline {CD}  {}                   Given

\overline {BC} \parallel \overline {AD}   {}                   Definition of a trapezoid

ABCD is an isosceles trapezoid  {}    Left and right leg are equal

∠BAD ≅ ∠CDA  {}          Base angle of an isosceles trapezoid are congruent

\overline {AD} \cong \overline {AD}   {}                  Reflexive property

ΔABD ≅ ΔACD   {}         By SAS rule of congruency

\overline {BD} \cong \overline {CA}   {}                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

8 0
2 years ago
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What is the trapezoid enter your answer in the box 4,5,17,5
xenn [34]

Answer:

88unit^2

Step-by-step explanation:Area=

1/2(17+27)*4

Area=88unit^2

7 0
3 years ago
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if one banch of cookies call for 5 eggs, how many banches can you make with 24 eggs.will there be any left over.
9966 [12]
You can make four batches of cookies with four eggs left over. 5 goes into 24 four times with a remainder of 4. 
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