Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees

Answer:

6±√10

Step-by-step explanation:

x^2-12x+26=0

x= ± √10  +6

6±√10

The solutions of the given quadratic equation  [tex]x^2 - 12x + 26 = 0[/tex] are;

x = 6 + √10 and x = 6 - √10.

To solve the quadratic equation [tex]x^2 - 12x + 26 = 0[/tex]

using completing the square method, follow the steps below.

Move the constant term to the right side of the equation

[tex]x^2 - 12x = -26[/tex]

To find the value that completes the square, divide the coefficient of x by 2 and square it.

[tex](-12/2)^2 = 36[/tex]

Add and subtract the value obtained in step 2 to the left side of the equation

[tex]x^2 - 12x + 36 - 36 = -26[/tex]

Simplify the left side of the equation by factoring the perfect square trinomial

[tex](x - 6)^2 - 36 = -26[/tex]

Add 36 to both sides of the equation to isolate the perfect square trinomial

[tex](x - 6)^2 = 10[/tex]

To Take the square root of both sides of the equation

x - 6 = ±√10

Solve for x

x = 6 ± √10

So, the solutions of the given quadratic equation  [tex]x^2 - 12x + 26 = 0[/tex] are x = 6 + √10 and x = 6 - √10.

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Answer:

A (-3,9)

Step-by-step explanation:

ok easy they they us

R(2,1) and R'(-4,8)

subtract 6 from y and add 7 to y

ok lets solve for S'

S(3,2) now subtract 6 and add 7

(3,2)+(-6,7)

(-3,9)

Answer:

none of the above

Step-by-step explanation

70x + 300 = 90x

          300 = 20x

             15 = x

Answer:

each must travel 15 miles, and the charge is $13.50

Step-by-step explanation:

a8ex

Answer:

3a. 84

3b. 150

Step-by-step explanation:

(3*7)+(3*21)

what is 3*7? it's 21

what is 3*21? it's 63

so 21 + 63 is the answer to the first question :D

10*(8+7)

8+7 first cause it's in parentheses

15

10*15 is equal to 150

Answer:

200

Step-by-step explanation:

Hope this helps. :)

Answer:

the answer is 9$

Step-by-step explanation:

the other guy is waaaay wrong

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

Answer:

The best way to help is to get some water or get some sleep.It is either because you didn't get enough sleep or that you are dehydrated.

Step-by-step explanation:

Answer:

Drink a soda the instant you feel one coming on- sugar and caffeine tend to help.

If you can, try a good chiropractor- they can do adjustments that help with so many things including splitting headaches.

Try an OTC medicine.

sleep, dark, quiet, calm- try not to think too much and stay hydrated. maybe try carbonated water.

try to massage your neck yourself. it could help.

try to use a cold or a hot compress on your head.

Bananas. A tried and true natural headache reliever, bananas have potassium, magnesium, B vitamins, and complex carbohydrates, all components that contribute to headache relief.

The taste and smell of green apples have shown to help dim or lessen the intensity of migraines.

Hot packs and heating pads can relax tense muscles. Warm showers or baths may have a similar effect. Drink a caffeinated beverage. In small amounts, caffeine alone can relieve migraine pain in the early stages or enhance the pain-reducing effects of acetaminophen (Tylenol, others) and aspirin.

Step-by-step explanation:

avoid blue light from screens.

Answer:

y=5/4x

Step-by-step explanation:

First, take two points from the line. For example, I'll take (4,5) and (-4,-5)

The equation for slope (m) is (y2-y1)/(x2-x1)

let's label the points

x1=4

y1=5

x2=-4

y2=-5

now substitute into the equation:

m=(-5-5)/(-4-4)

m=-10/-8

m=5/4

Next, let's use point slope form, which is y-y1=m(x-x1)

Substitute x1, y1, and m

y-5=5/4(x-4)

y-5=5/4x-5

add 5 to both sides

y=5/4x

Hope this helps!

Answer:

The radius of the sphere is 7 units

Step-by-step explanation:

Surface Area

Given a sphere of a radius (r), the surface area is given by the formula:

[tex]\displaystyle A=4\pi r^2[/tex]

If the surface area is given, we can solve for r:

[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]

The surface area of a sphere is given A=196π.

Calculating the radius:

[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]

[tex]\displaystyle r=\sqrt{49}[/tex]

r = 7 units

The radius of the sphere is 7 units

Answer:

discount

Step-by-step explanation:

goes under og price

Answer: 17

Step-by-step explanation:

Answer:

-1.8m + 0.7

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

-2g- 2m+ 5

-2(-3) - 2(10) +5

6- 20+ 5

9

Answer:

T

Step-by-step explanation:

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

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Find the slope by using 2 sets of x,y values from the table.

Slope is change in y over change in x:

Slope = (-6 - -9) / (1 - -2) = 3/3 = 1

Then the y intercept is the value of y when x is 0. Looking at the table when x is 0 y is -7

The equation would be y = x-7

9514 1404 393

Answer:

  3.75 cm

Step-by-step explanation:

Corresponding sides are proportional.

  CD/BC = BC/AB

  CD = (BC)²/AB . . . . . multiply by BC

  CD = (6 cm)²/(9.6 cm) = (36/9.6) cm

  CD = 3.75 cm

Step-by-step explanation:

Using Pythagoras' Theorem,

Distance = sqrt[(0-3)² + (4-1)²]

= sqrt[(-3)² + 3²]

= sqrt18

= 4.24 units. (3)

Answer:- | -7 + 4 |

=  - | -3 |           Since  | -3 |  =  3:

=  - (3)

=  - 3

Answer:

3 or -3

Step-by-step explanation:

Since this is an absolute value, this will be 2 answers.

If |-7+4|=3

then the equation = -3

If |-7+4|=-3

then the equation =3

Answer:

I think it's A and C

b║f

c║e

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

A and c are correct because i just took the test

Step-by-step explanation:

Answer:

I believe the answer would be b

Step-by-step explanation:

Solve equation 1 for the variable  y  

y = -5x  

 Plug this in for variable  y  in equation

4•(-5x) + 12x = 16

- 8x = 16

Solve equation 2 for the variable  x  

8x = - 16  

x = - 2  

so far we know this

y = -5x

x = -2

Use the  x  value to solve for  y  

 y = -5(-2) = 10

which would give us the answer B

Answer:

colllge math or highchool

Answer:

Dimension of rectangle = 6 inches by 3 inches

Dimension of square = 3 inches by 3 inches

Step-by-step explanation:

Given information:

- Length of rectangle = [tex]6[/tex] inches.

- Width of rectangle is the same as the side length of square.

- Area of rectangle is twice the area of square

Variable to define:

Let [tex]s[/tex] = side length of the square and the width of the rectangle

Finding dimensions of rectangle and square:

From the information given, we can write the equation:

[tex]6s=2s^2[/tex]  (Area of rectangle is twice the area of square)

[tex]6=2s[/tex] (Divide [tex]s[/tex] on both sides)

[tex]s = 3[/tex] inches

Dimension of rectangle = length by width

= 6 inches by 3 inches

Dimension of square = side by side

= 3 inches by 3 inches

Hope this helps :)

Answer:

The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:

Alexia can answer 3 minutes on each math problem

Alexia can answer 4 minutes on each science problem

She worked more than 60 minutes

We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.

in our answer, we have x=20and y=10

3*20 + 4*10 > 60

60 + 40 > 60

100 > 60

brainliest please

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

I just took this assignment. :)

Answer:

The radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

The radius of the sphere can be determined such as

[tex]A\:=\:4\pi r^2[/tex]

[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]

[tex]r\approx 20[/tex] cm

Therefore, the radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm