what's
[tex] \alpha + \beta [/tex]
if
[tex] \alpha = 1 \: and \: \beta = 2[/tex]
​

Answer:

A. X + Y

Step-by-step explanation:

From this question x = -2 and y = -5

We are to find out the expression that would give a negative value.

X+Y

(-2)+(-5)

+(-) gives a negative sign. So we have

= -2-5

= -7

For x - y

(-2) - (-5)

-(-) = positive

= -2 + 5

= 3.

For [x][y]

= (-2) x (-5)

= 10

since a negative sign multiplied with another negative sign gives a positive result

For X/Y

= -2/-5

= 2/5 the result here is positive because 2 negative signs when divided cancel out.

Therefore the answer is option A since it's result is negative. Others are positive

Question:

The diagram shows a right -angle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h.  Find h

Answer:

[tex]h =12cm[/tex]

Step-by-step explanation:

Given

Triangle

[tex]Base = 9cm[/tex]

[tex]Height = 16cm[/tex]

Parallelogram

[tex]Base = 30cm[/tex]

[tex]Height = h[/tex]

Calculate the area of the triangle

[tex]Area = 0.5 * Base * Height[/tex]

[tex]Area = 0.5 * 9cm * 16cm[/tex]

[tex]Area = 72cm^2[/tex]

When multiplied by 5, gives the area of the parallelogram.

So:

The area of Parallelogram is:

[tex]Area = Base * Height[/tex]

[tex]Area = 30cm * h[/tex]

This gives:

[tex]30cm * h = 72cm^2 * 5[/tex]

Make h the subject

[tex]h = \frac{72cm^2 * 5}{30cm}[/tex]

[tex]h = \frac{72cm^2}{6cm}[/tex]

[tex]h =12cm[/tex]

Answer:

Step-by-step explanation:

(-2,2) lies above the vertex, so the parabola opens upwards.

Vertex-form equation for an up-opening parabola with vertex (-5,-1):

y = a(x+5)² - 1, a>0

Plug in (-2,2) and solve for a:

2 = a(-2+5)² - 1

a = ⅓

Equation of parabola:

y = ⅓(x+5)² - 1

Answer:

True

Step-by-step explanation:

If any number is multiplied by a negative in this case, the answer will of course be negative

Answer:

24%

Step-by-step explanation:

6/25=0.24

0.24=24%

Answer:

-2 -1,1, and 2 only

Step-by-step explanation:

Answer:

22 pounds of shrimp

Step-by-step explanation:

Hope this helped!

numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

Answer:

simplify

Step-by-step explanation:

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Answer:

r=1.43147648, −4.19147648

Step-by-step explanation:

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

Answer:

B A A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fig 1

<f=180-2×30=180-60=120

<D and <E are base angle of isosceles triangle.

Fig 2

AB=AC=BC=8

All the side of equilateral are equal and all interior angle also equal.

Answer:

Step-by-step explanation:

a) ΔFED is isosceles triangle. EF = ED

∠F = ∠D =x   {Angles opposite to equal sides are equal}

∠F + ∠E + ∠D = 180  {Angle sum property }

x  +x + 30 = 180

  2x + 30  = 180

           2x = 180 -30

           2x = 150

             x = 150/2

             x = 75

∠F = 75

b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.

So, AB = 8

Answer:

[tex] \sqrt[7]{ {x}^{2} } [/tex]

Step-by-step explanation:

can be rewrite as

[tex] \sqrt[n]{a} {2}[/tex]

so x

[tex] {x}^{2 \div 7} [/tex]

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

Answer:

5

Step-by-step explanation:

7-2=x

7-2=5

x=5

.........................

Answer:

D

Step-by-step explanation:

You have the correct answer.

Answer:

15hrs

Step-by-step explanation:

We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... [tex]\frac{18}{x}+\frac{1}{2}=\frac{14}{x-2}[/tex] ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!

Answer: (3, 4)

Step-by-step explanation:

i graphed both of them and found the solution <33

Answer:

no need to graph

Step-by-step explanation:

y-4=0

y=4

2x_y_2=0

x=(y+2)/2

=(4+2)/2

=3

(x,y)

=(3,4)

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

Answer:

43

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

but dear where is the picture?