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cluponka [151]
3 years ago
11

What are the values of a and b number 8​

Mathematics
1 answer:
puteri [66]3 years ago
5 0

Answer:

\large\boxed{C.\ a=\dfrac{400}{21},\ b=\dfrac{580}{21}}

Step-by-step explanation:

<em>(LOOK AT THE PICTURE)</em>

ΔABC, ΔDBA and ΔDAC are similar (AAA). Therefore the corresponding sides are in proportion:

\dfrac{AB}{AD}=\dfrac{AC}{DC}

We have AB = b, AD = 20, AC = 29 and DC = 21. Substitute:

\dfrac{b}{20}=\dfrac{29}{21}             <em>cross multiply</em>

21b=(20)(29)

21b=580           <em>divide both sides by 21</em>

b=\dfrac{580}{21}

and in proportion:

\dfrac{BD}{AD}=\dfrac{AD}{DC}

We have BD = a, AD = 20 and DC = 21. Substitute:

\dfrac{a}{20}=\dfrac{20}{21}           <em>cross multiply</em>

21a=(20)(20)

21a=400   <em>divide both sides by 21</em>

a=\dfrac{400}{21}

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Find f (8) when f (x)=-26/x+7
otez555 [7]

Answer:

-26/8+7=15/4 or 3 3/4

Step-by-step explanation:

3 0
3 years ago
The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)
velikii [3]

Answer:

Part 1) A=80

Part 2) B=-25

Part 3) C=-40

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

Part 1) Find the value of A

432+A=512

solve for A

subtract 432 both sides

A=512-432=80

Part 2) Find the value of B

75-100=B

solve for B

-25=B

Rewrite

B=-25

Part 3) Find the value of C

C+52=12

solve for C

subtract 52 both sides

C=12-52

C=-40

4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Brilliant_brown [7]

-2<em>x</em> + 6<em>y</em> = -38

3<em>x</em> - 4<em>y</em> = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114

2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64

Add the equations.

-6<em>x </em>+ 18<em>y</em> = -114

6<em>x</em> - 8<em>y</em> = 64

+_____________

0 + 10<em>y</em> = -50

10<em>y</em> = -50

<em>y</em> = -5

Substitute -5 for y into one of the original equations to find x.

3<em>x</em> - 4<em>y</em> = 32

3<em>x</em> - 4(-5) = 32

3<em>x</em> + 20 = 32

3<em>x</em> = 12

<em>x</em> = 4

Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.

-2<em>x</em> + 6<em>y</em> = -38

-2(4) + 6(-5) = -38

-8 - 30 = 38

38 = 38


3<em>x</em> - 4<em>y</em> = 32

3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

Answer:

<em>x</em> = 4 and <em>y</em> = -5; (4, -5).

8 0
3 years ago
Read 2 more answers
Divide 3/4)1/2 to give the answer
Dahasolnce [82]
The exact form will be 3/2 (if you reduce, how many times will one go into three? three times, two will go into 4 twice so that is one way to get the answer.) Decimal form is 1.5 and the mixed number form will be one and one half (or 1 1/2)
6 0
3 years ago
Find the area of area of a rectangle with with sides 8 + 2x and 3+ x.
netineya [11]

Answer:

Area = 2x^2 + 14x + 24

Step-by-step explanation:

You could set up an expression (2x + 8) * (x + 3), where you multiply 2x by x, 2x by 3, 8 by x, 8 by 3, and then add them all up. 2x * x  = 2x^2, 2x * 3 = 6x, 8 * x = 8x, and 8 * 3 = 24. 2x^2 + 6x + 8x + 24 = 2x^2 + 14x + 24, so that is your answer.

3 0
3 years ago
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