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irga5000 [103]
3 years ago
14

32 divied by y is equal to the product of three and y minus four

Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer:

your answer is y = 8/3

Step-by-step explanation:

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In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: Chapter Reference a m∠A
Strike441 [17]

Answer:

Given A triangle ABC in which

 ∠C =90°,∠A=20° and CD ⊥ AB.

In Δ ABC

⇒∠A + ∠B +∠C=180° [ Angle sum property of triangle]

⇒20° + ∠B + 90°=180°

⇒∠B+110° =180°

∠B =180° -110°

∠B = 70°

In Δ B DC

∠BDC =90°,∠B =70°,∠BC D=?

∠BDC +,∠B+∠BC D=180°[ angle sum property of triangle]

90° + 70°+∠BC D =180°

∠BC D=180°- 160°

∠BC D = 20°

In Δ AC D

∠A=20°, ∠ADC=90°,∠AC D=?

∠A +  ∠ADC +∠AC D=180° [angle sum property of triangle]

20°+90°+∠AC D=180°

110° +∠AC D=180°

∠AC D=180°-110°

∠AC D=70°

So solution are, ∠AC D=70°,∠ BC D=20°,∠DB C=70°





5 0
4 years ago
Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou
Anna35 [415]
For this case we have the following equation:
 3 \sqrt{x+6}=-12
 Rewriting we have:
 \sqrt{x+6}= \frac{-12}{3}
 \sqrt{x+6}=-4
 We raise both members of the equation to the square:
 (\sqrt{x+6})^2=(-4)^2
 Rewriting we have:
 x+6=16
 x=16-6
 x=10
 It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
 3 \sqrt{10+6}=-12
 3 \sqrt{16}=-12
 3(4)=-12
 12=-12
 Answer:
 
The solution is:
 
x=10
 It's a extraneous solution

6 0
4 years ago
F(x) = x2 – 2x - 8
maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x-8

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

so

For x=0

f(x)=0^{2}-2(0)-8\\f(x)=-8

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0
4 years ago
Leigh has a piece of rope that is 6 2/3 feet long. How do you write 6 2/3 as a fraction greater than 1
aleksley [76]
20/3 - Take the 6 2/3, multiply the 6 and the 3 (6 x 3 = 18), then add the 2 (18 + 2 = 20). Put that number over the original 3 and you've got yourself a mixed number.
4 0
4 years ago
Read 2 more answers
Problem page the price of a notebook has dropped to $3.20 today. Yesterday's price was $3.45 . Find the percentage decrease. Rou
Anna11 [10]

Yesterday's price of notebook = $3.45

Today's price of notebook = $3.20

We have to determine the percentage decrease in the cost of notebook.

Percentage decrease = (Decrease \div Old price) \times 100

So, percentage decrease = \frac{3.45-3.20}{3.45} \times 100

=\frac{0.25}{3.45} \times 100

= 7.246%

= 7.25%

Therefore, there is 7.25% of decrease in the cost of the notebook.

8 0
3 years ago
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