What’s the answer for this ? 1-2 question

Answer:

(2y+5)x(5y-2)

Step-by-step explanation:

For a polynomial of the form ax² - bx + c rewrite the middle term as a sum of two terms whose product is a·c=10·-10 = -100 and whose sum is b= 21.

We factor 21 out of 21y.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{10y^{2}+21(y)-10 } \end{gathered}$}}\)

Rewrite 21 as −4 plus 25.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{10y^{2}+(-4+25)y-10 } \end{gathered}$}}\)

Apply the distributive property.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{10y^{2}-4y+25y-10 } \end{gathered}$}}\)

Factor the highest common denominator of each group. Group the first two terms and the last two.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(10y^{2}-4y)+25y-10 } \end{gathered}$}}\)

Factor the highest common denominator (GCF) of each group.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{2y(5y-2)+5(5y-2) } \end{gathered}$}}\)

Factor the polynomial by factoring the greatest common denominator, 5y-2.

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(5y-2)(2y+5) } \end{gathered}$}}}\)

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

we have the following:

angles supplementary add 180°, therefore:

The answer is C. (4x+2)+(3x+3) = 180

Answer:

101

Step-by-step explanation:

\(\log a=-8\\\\10^{\log a}=10^{-8}\\\\a=10^{-8}\)

\(\log b=-9\\\\10^{\log b}=10^{-9}\\\\b=10^{-9}\)

\(\log c=-9\\\\10^{\log c}=10^{-9}\\\\c=10^{-9}\)

\(\displaystyle \log\frac{a^2}{b^5c^8}=\log\frac{(10^{-8})^2}{(10^{-9})^5(10^{-9})^8}=\log\frac{10^{-16}}{(10^{-9})^{13}}=\log\frac{10^{-16}}{10^{-117}}=\log(10^{-16-(-117)})=\log(10^{101})=101\)

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

Answer:

500%

Step-by-step explanation:

\( \frac{6 \times 100}{1.2} = 500\%\)

The value of distance AB is 187.5 units

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.

sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

The opposite side to angle A is BC

the opposite side to angle C is AB

therefore;

A = 180-( 117 +24)

A = 180- 141

A = 39°

290/sin 39 = x/ sin24

xsin39 = 290 × sin24

0.629x = 117.95

x = 117.95/0.629

x = 187.5

therefore the distance AB is 187.5

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Answer:

5 + 4 = 9

x × x = X2

3 + 2 = 5

9/x + 5 = 2

Answer:

5/x+3+4/x+2=2

=9/x+5=2

9/x=-3

Multiply both sides by x

9= -3x

Divide by -3

Answer x=  -3

Hope this helps

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

Given:- r - 3 Meter

h - 5 Meter

rate - 108$ Per M³

Sol:

Volume of Cylindrical Concrete Pillar= V = πr²h

V = 3.14×3×3×5 (π = 3.14)

Volume ≈ 141.37

Cost of Concrete pillar = 108$/m³

Cost = 108 × 141.37

Cost of Making Cylindrical Concrete pillar= $15,267.96

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

Step-by-step explanation:

The answer is 6.868 10

The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times

We are given;

Now, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;

(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6

Thus,diameter of cell G is 4.6 times larger than diameter of Cell H

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Answer:

$13

Step-by-step explanation:

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

50

Step-by-step explanation:

\(\frac{9}{5}(10)+32=50\)

There were 14 players on the soccer team.

In the given problem, the members of a soccer team raised $1210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. We need to find how many players were on the team.To solve this problem, we can start by subtracting the cost of the bus rental from the total amount raised by the team:$1210.50 - $769.50 = $441Now, we can divide this remaining amount by the amount budgeted per player for meals:$441 ÷ $31.50 = 14Therefore, there were 14 players on the soccer team. We can check our answer by multiplying the number of players by the amount budgeted per player for meals:14 x $31.50 = $441This is equal to the remaining amount after the bus rental was paid, which confirms that our answer is correct.

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The average number of students who are afraid of spiders and snakes is 15. (Option C).

To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).

Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2

Given the information:

Number of students afraid of spiders = 18

Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)

Average = (18 + 12) / 2 = 30 / 2 = 15

So, the average number of students who are afraid of spiders and snakes is 15.

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Correct table for the given expression is option C.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is w÷19.

Here, from the tables we have w=114, 133 and 152

Now, 114/19 =6

133/19 =7

152/19 =8

Therefore, option C is the correct answer.

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Area of the given rectangle is 15 unit² and perimeter of the rectangle is 16 unit (it is given).

Rectangle can be defined as a plain having 4 sides and 4 angle which all of them are right angle and in this opposite sites are parallel and parallel sides are equal.

\(Area\ of\ Rectangle = Length * Breadth\)

\(Perimeter\ of\ Rectangle = 2(Length + Breadth)\)

We have given two points ( -5 , 6 ) and ( -2 ,6 ) , so first we put this two point in the graph we get suppose breadth of rectangle i.e., 3 unit.

Perimeter of Rectangle = 16 unit ( Given )

So, 16 = 2 ( Length + 3)

⇒ Length + 3 = 8 unit

⇒ Length = 5 unit.

So, Area of Rectangle = 5 * 3 = 15 unit²

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So, it is obvious that it is a right angle triangle.

so, option A and option C both fit the explanation.

Answer:

240pie(cm)^3

Step-by-step explanation:

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Answer:

Y=X+1=2+1=3

Step-by-step explanation:

{

X

=

2

Y

=

3

Explanation:

Combining the two equations, we find:

2

X

−

1

=

Y

=

X

+

1

Subtract

X

from both ends to get:

X

−

1

=

1

Add

1

to both sides to get:

X

=

2

Then:

Y

=

X

+

1

=

2

+

1

=

3

Answer:

True

Step-by-step explanation:

(2x)(4x) = 8x^2

∠ b = 43° — — { Vertical opp. angles]

Now, see 43 and a are together compromising the linear pair so,

= 43 + a = 180°

= a = 180 - 43

= a = 137

Like b, similarly here also a = c = 137° {Vertical opp. angles}

Answer:

105cm squared

Step-by-step explanation:

I put my answer here before, but somehow it got deleted, so I'm typing it again.

A square-based pyramid is made up of one square and four triangles.

We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.

5 x 5 = 25

Therefore, the area of the base is 25cm squared.

Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.

5 x 8 = 40

40 / 2 = 20

Therefore, the area of one triangle is 20cm squared.

But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.

4 x 20 = 80

Add everything together:

25 + 80 = 105

Therefore, the total surface area of the square-based pyramid is 105cm squared.