If alpha and beta are the zeros of the polynomial 2x2+5x+k, find k such that (alpha)2+(beta)2+(alpha)*(beta)=24

Answer:

B. 27<AB<81 seems like the best option. AB got to be bigger than 27.

Step-by-step explanation:

Based on the diagram, possible lengths of side AB are 27 < AB < 81.

Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.

The sum of all the angles inside the triangle is equal to 180 degrees.

We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.

So the length of side AB is always less than AC + BC.

AB < AC + BC

AB < 27 + 54

AB < 81

Now from the diagram it is clear that AC is less than AB.

AC < AB

27 < AB

Combining these inequalities, we get 27 < AB < 81.

Hence all the possible lengths of side AB is 27 < AB < 81.

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Answer:

its 2 all of those are in the 2 time tables unwelcome

Answer: I took the test and this is the answer.

Step-by-step explanation:

Given :-

To find:-

Solution:-

According to the question , let the length of rectangular garden be x and width be x + 15

We know , the formula for area of rectangular garden is L × B

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

By factorising it we get , x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

Answer:

  184 5/7 pages

Step-by-step explanation:

There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...

  1/7 × 1293 pages = 184 5/7 pages

Madeline will need to read 184 5/7 pages each day in order to finish.

Step-by-step explanation:

[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]

[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]

[tex] \frac{42}{252} [/tex]

Answer:

1.6 is greater than 1.59

Step-by-step explanation:

It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...

Answer:

78.6

Step-by-step explanation:

Area of  circle = Pi*r^2

r=5

for pi use calculator or pi=3.142

area =Pi*r2=(3.142)*5^2=(3.142)*25=78.55 = 78.6 (1 decimal place which is same with tenth)

Answer:

Use the formula,

Volume of cylinder =πr²h

=3.14×16×11

=552.64 cm³

An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ab^x[/tex]

Here, x is the variable in the power of a number.

State the equation of the exponential function that has the following features.

[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]

For the point (-1,-3)

[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]

Put, the value of -1 in the above equation,

[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]

Thus, the exponential function,

[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]

Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

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since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.

[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]

[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

Answer:

1 2/3 = 1.66666

3/5 = 0.6

Step-by-step explanation:

Answer:

4224 cm3

Step-by-step explanation:

V= w•h•l

4224 = 22•12•16

Answer:

  about 1.14%

Step-by-step explanation:

Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:

  I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.

__

Here, we have ...

  (100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year

  0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r

Your return would be about 1.14%.

Answer: 1,33.5 m

Step-by-step explanation:

       We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.

       [tex]\frac{3}{1} =\frac{x}{44.5}[/tex]

       Now, I will cross multiply and solve for x. This will give us the height of the tower.

       x * 1 = 3 * 44.5

       x = 133.5 m

Answer:

Answer:

The horizontal distance she has covered is:

x = 483.0m

Step-by-step explanation:

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Answer:

9.63 m³ = 9.63×1000 = 9630 litres (answer)

Step-by-step explanation:

hope it help

Answer:

m/5=15

Step-by-step explanation:

Since Jack was solving m/5 problems per day, the equation to solve this would be the one given above.

The equation that represents the situation is m = 75x.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

If Jack solved m math problems in 5 days by solving the same number of problems every day, then he solved m/5 problems per day.

Now suppose Jack was solving 15 problems per day.

We want to find out how many problems he had to solve in total, so we can set up an equation using these two pieces of information:

15x = m/5

Here, x represents the number of days Jack took to solve all the problems.

We can solve for m by multiplying both sides of the equation by 5:

75x = m

So the equation we get is:

m = 75x

Therefore, this equation relates the total number of math problems Jack had to solve (m) to the number of days he took to solve them (x), given that he solved 15 problems per day.

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Answer:

this is wrong

is the answer

if you like my answer please like comment and mark me as brilliant

Check the picture below.

so the area of the hexagon is really just the area of two isosceles trapezoids.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}[/tex]

Answer:

9

Step-by-step explanation:

→ Write an expression for the rectangles width

x

→ Write an expression for the rectangles length

7x

→ Now write an equation for the perimeter

x + 7x + x + 7x = 144

→ Simplify

16x = 144

→ Solve

x = 9

Answer:

Answer:

-15 is the answer

Step-by-step explanation:

According to the BODMAS (bracket of Division Multiplication Addition Subtraction) rule

=5*10-5*13

=50-65

=-15

[tex]\text{Given that, c=3, d=6}\\\\\dfrac{4d}{c+3} = \dfrac{4(6)}{3+3} = \dfrac{4(6)}6 = 4[/tex]

The x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Here, we have,

given that,

Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3,

Midpoint of a line

The formula for calculating the midpoint of a line divided in the ratio m:n is expressed as:

M(x,y) =  (mx₂ + nx₁) / (m + n) , (my₂ + ny₁) / (m + n)

For the x-coordinate

X = (nx₁+mx₂/m+n)

let, the x-coordinate of Q = a

Substitute the given parameters

-1 = 3(-3) + 1(a) / 1+3

or, -1 = -9 + a/4

or, -4 = -9 + a

or, a = 5

Hence the x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

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Answer:

So 18+-10=8, 18+-8=10. So the answer is 8 I guess.  

The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)

A linear function is in the form:

Where m is the rate of change (slope), and b is the y intercept.

From the table, b = 3 (at x = 0, y = 3)

The slope (m) = (7 - 3) / (3 - 0) = 4/3

y = (4/3)x + 3

The point (18, 27):

y = (4/3)(18) + 3 = 27

The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)

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The answer is B. Corresponding pairs of sides on ABCD and PQRS are equal in length.

Two figures or objects are said to be congruent in geometry if their shapes and sizes match, or if one is a mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

In order for two polygons to be congruent, all corresponding pairs of sides and angles must be equal in measure, but only option B mentions the sides specifically.

Option A only mentions angles, option C mentions a reflection transformation, and option D mention a translation transformation, but neither of them provides enough information to show that all corresponding pairs of sides are equal.

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