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2 years ago

What is the value of side b? A 20 B 15 C 10 D 5

Mathematics

2 answers:

Pavel [41]2 years ago

3 0

I am not able to see the picture

lara [203]2 years ago

3 0

Answer:

you didnt show the pitures/question just an fyi

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write quadratic equation whose roots are 4 and -3 and whose leading coefficient is 5 use the letter X to represent the variable

AlladinOne [14]

$5(x-4)(x+3)=\\
5(x^2+3x-4x-12)=\\
5(x^2-x-12)=\\
5x^2-5x-60$

5 0

2 years ago

Which rate is the lowest price?

m_a_m_a [10]

a. 1.15

b. 6.20 divided by 4 = 1.55

c. 5 divided by 4 = 1.25

d. 5.50 divided by 5 = 1.1

D is correct

6 0

3 years ago

Read 2 more answers

If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)

Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

$\log_dabc=\log_da+\log_db+\log_dc$

Then using the change of base formula, we can derive the relationship

$\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}$

This immediately tells us that

$\log_dc=\dfrac1{\log_cd}=\dfrac12$

Notice that none of $a,b,c,d$ can be equal to 1. This is because

$\log_1x=y\implies1^{\log_1x}=1^y\implies x=1$

for any choice of $y$ . This means we can safely do the following without worrying about division by 0.

$\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}$

so that

$\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23$

Similarly,

$\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}$

so that

$\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34$

So we end up with

$\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}$

###

Another way to do this:

$\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}$

$\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}$

$\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12$

Then

$abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}$

So we have

$\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}$

4 0

2 years ago

What is 14x14x14 equal

N76 [4]

2744 is the answer. can be written as 14^3 just in case you need to know that.

8 0

2 years ago

If i can get an answer by tom i would really apreciate it.<br><br>=D

Yanka [14]

Only one section should be coloured in because it's 1/8 of the spinner. Meaning, there is one chance of landing on any colour.

3 0

3 years ago