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slava [35]
4 years ago
9

What is 2(log38+logzz)-log3(34 – 72) written as a single logarithm?

Mathematics
1 answer:
Alona [7]4 years ago
6 0

Answer: log3 2z

Step-by-step explanation:

Just did it on Edge

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What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)lef
Elena L [17]

Given Information:

Point 1 =  (8, −3)

Point 2 =  (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }

Substitute the given coordinates into above equation

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

7 0
3 years ago
Quadrilateral WXYZ has interior angles that meet the following criteria: Angles W and X are congruent . The smallest angle's mea
Reptile [31]

Smallest angle is 50°

<u>Step-by-step explanation:</u>

Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:

Angles W and X are congruent.

According to question , angles are congruent i.e. Both angle measure same

⇒ X=W

Now ,

• The smallest angle's measure is 100° less than twice the measure of W.

According to above statement we have ,

Smallest angle = 2W-100

• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )

According to above statement we have ,

Largest angle = 10+2X=10+2X

Now , We know that sum of all 4 angles in 360 i.e.

⇒ X+W+10+2X+2W-100=360      { X=W }

⇒ 6W-90=360

⇒ 6W=450

⇒ W=75

Smallest angle is :  2W-100 = 2(75)-100=50

Therefore , Smallest angle is 50° .

4 0
3 years ago
Can someone please help me with this question, I have multiple of them and have no idea where to start. If you can help me with
Alika [10]

Answer:

x = 5

Explanation:

Well, there's a theorem about these triangles that helps you solve questions similar to this one.

The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.

That is, 33° + (10x+1)° = (17x-1)°

17x - 10x = 33 + 1 + 1

7x = 35 => x = 5

Hope it helps you, mate! :)

6 0
2 years ago
What is the answer I need help
Softa [21]
Answer: A 8040 is exactly divisible by 67 the quotient is 120
3 0
2 years ago
△ACD∼△GHD , m∠ADC=23∘ , and m∠C=31∘ . Two similar triangles. The first triangle has vertices DAC. Angle A is an obtuse angle. Th
iVinArrow [24]

Answer:

126°

Step-by-step explanation:

The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...

... ∠G + ∠H + ∠D = 180°

... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G

... 180° -54° = ∠G = 126°

7 0
3 years ago
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