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azamat
11 months ago
6

Let log_b 4= G and log_b9= S. Write the expression in terms of G and S

Mathematics
1 answer:
Liono4ka [1.6K]11 months ago
6 0

S-G is the expression in terms of G and S

<h3>What is the expression in terms of G and S?</h3>

Given: log_b 4 = G, log_b9 = S and log_b 9/4

To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:

When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.

logₓ (a/c) = logₓa - logₓc

Thus,  log_b (9/4) = log_b 9 - log_b 4  = S - G  

(Note: log_b 4 = G and log_b9= S)

Therefore, the expression log_b (9/4) in terms of G and S is S-G

Learn more about logarithm rules on:

brainly.com/question/28596566

#SPJ1

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Find the two square roots of 144.
spin [16.1K]

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.  

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.  

Two ways to look at it.  

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

4 0
3 years ago
Read 2 more answers
PLSS I NEED HELL ASAP!!!
zheka24 [161]

Your question is so blur i cant see

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7 0
2 years ago
Find the value of the power. Please do all four questions for 15 pts #1 6³ #2 9² #3 3⁴ #4 18²
defon

Answer:

6³ = 216

9² = 81

3⁴ = 81

18² = 324

Step-by-step explanation:

6³ = 6 · 6 · 6 = 36 · 6 = 216

9² = 9 · 9 = 81

3⁴ = 3 · 3 · 3 · 3 = 9 · 3 · 3 = 27 · 3 = 81

18² = 18 · 18 = 324

3 0
3 years ago
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
Heron’s formula: Area = Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of tria
VladimirAG [237]
Hello,

Let's assume a,b,c the 3 sides of the triangle.

a=9
b=10
c=24-a-b=5

p= \dfrac{a+b+c}{2} =12\\&#10;&#10;S= \sqrt{p(p-a)(p-b)(p-c)} = \sqrt{12*3*2*7} = \sqrt{504} =22,4499...\approx{22}
4 0
3 years ago
Read 2 more answers
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