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Novosadov [1.4K]
3 years ago
8

Solve the quadratic by quadratic formula 7x-10=x squared

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0
0= x^2-7x+10

Factor
(x-5)(x-2)=0

Check
-5-2=-7, -5*-2=10

Use ZPP
x-5=0
x=5

x-2=0
x=2

Final answer: x=2, x=5
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A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end
erik [133]

Answer:

3/8 π radians

Step-by-step explanation:

The Area of a sector when then central angle is in radians = 1/2r² θ

Where

θ = central angle = ?

r = 16 cm

Area of the sector = 48πcm²

Hence

Central angle = Area of a sector ÷ (1/2r²)

= 48πcm² ÷ (1/2 × 16²)

= 48πcm² ÷ 128

Central angle = 3/8π radians

Therefore, Central angle = 3/8π radians

7 0
3 years ago
Which of these choices show a pair of equivalent expressions? A.7^5/7 and (√ 7)^5 B.6^7/2 and (√ 6)^7 C.(4√ 81)^7 and 81^7/4 D.5
OverLord2011 [107]
We will use the following law of indices (or 'index law') to check each pair of expression

x^{ \frac{m}{n}} = ( \sqrt[n]{x} )^{m}

With fractional power, the denominator is the root and the numerator is the power of the term. When the denominator is 2, we usually only write the normal square symbol (√). Denominator other than 2, we usually write the value of the root, for example, the cubic root ∛

Option A - Incorrect
7^{ \frac{5}{7}} should equal to ( \sqrt[7]{7} )^{5}

Option B - Correct
6^{ \frac{7}{2} } does equal to ( \sqrt{6}) ^{7}

Option C - Incorrect
4( \sqrt{81} )^{7} should equal to (4)( 81^{ \frac{7}{2} } )

Option D - Incorrect
5^{ \frac{2}{3} } should equal to ( \sqrt[3]{5} )^{2}
7 0
3 years ago
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frozen [14]

Answer:

90%

Step-by-step explanation:

Number of beings that preferred dubble juice to all the other juices = 36

Number of beings surveyed = x

The percentage of people that preferred dubble juice is calculated as:

(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100

36/40 × 100

= 90%

90% of beings preferred dubble juice.

4 0
3 years ago
A couple decide to have 5 children what if the probability that they will have at least one girl
Alchen [17]
The chance that they will have one girl is 1:5 because they are having 5 children and one is going to be a girl
8 0
2 years ago
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What is the value of x in the figure below? In this diagram
Pani-rosa [81]

Answer:

(B) x=\sqrt{30}

Step-by-step explanation:

3 0
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