Given the equation 3x+4y=20, is the point (4,2) a solution to the equation? Explain and
show you work.

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

                      = (sin2B + cos2B)/[(cosB)(sinB)]

                       = 1/[(cosB)(sinB)]

                        = (1/cosB)(1/sinB)

                        = (secB)(cscB)

Answer:

m<BDC = 60 degrees

Step-by-step explanation:

m<EBD is 120, m<EBC = 180 (it's a straight angle) so m<DBC = 180-120= 60 degrees.

All angles in a triangle add up to 180. 60+60+x=180. 180-120=x=60.

Answer:

-27

Step-by-step explanation:

b³=(-3)³

b³=(-3×-3×-3)

b³=-27

Answer:

121

Step-by-step explanation:

Given:

The equation are

[tex]y=3x+2[/tex]

[tex]y=2x^2+7x-11[/tex]

To find:

The coordinates of intersection points.

Solution:

We have,

[tex]y=3x+2[/tex]          ...(i)

[tex]y=2x^2+7x-11[/tex]           ...(ii)

From (i) and (ii), we get

[tex]3x+2=2x^2+7x-11[/tex]

[tex]0=2x^2+7x-11-3x-2[/tex]

[tex]0=2x^2+4x-13[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].

Using quadratic formula, we get

[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]

Now,

[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]

[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]

[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]

Putting x=1.74 in (i), we get

[tex]y=3(1.74)+2[/tex]

[tex]y=5.22+2[/tex]

[tex]y=7.22[/tex]

Putting x=-3.74 in (i), we get

[tex]y=3(-3.74)+2[/tex]

[tex]y=-11.22+2[/tex]

[tex]y=-9.22[/tex]

Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).

Answer:

1

Step-by-step explanation:

=>. the value of 3° = 1

=> it is known to us that any number to the

power zero is equals to 1

hope it helps

Answer:

24-5:x2

Step-by-step explanation:

im not sure

mark brainliest if it helps

Answer:

96

Step-by-step explanation:

1 pound is 16 ounces

6 pounds=x ounces

So we use the X to signal it's presence

1x16 is 16,

That means 16 ounces

6xP=Q

6x16 will give us our answer

Because it will tell us how many pounds there are since ounces is multiplied to get ounces.

6x16=96

P=16

Q=96

96 is our answer.

I hope this helps!!!!

If you need help, don't hesitate to ask!

I'm here until 2:30

May I please have brainliest?

Answer:

The Geometric mean of two numbers is the square root of their product.

Given numbers are 12,20.

Geometric mean = √(12*20)

= √240.

= 15.49.

= 15.5.

The geometric mean of 12 and 20 is 4√15.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 3 + 3x + 4y = 7 is an expression.

We have,

The geometric mean of a and b is √(ab).

Now,

a = 12 and b = 20

so,

The geometric mean of 12 and 20.

= √(12 x 20)

= √240

= 4√15

Thus,

The geometric mean of 12 and 20 is 4√15.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

Step-by-step explanation:

Let's find the slope of the given line:

Rewrite this in the slope-intercept form: y = mx + b

The slope is 1/4

The perpendicular line has slope

Answer:

35 for perimeter of b

122.5 for perimeter of a

Step-by-step explanation:

To find the perimeter, you add all of the values of the outside of the shape together. Since 12+9+9+5 = 35, the answer is 35.

Okay, so what you have to do is set up a proportion for a to b. To do that, you have to have a fraction where a is the numerator and b is the denominator. 7/2 equals x/35. Then cross multiply

7*35 = 2x

x = 122.5 :)

Answer:

The perimeter is 35.

Step-by-step explanation:

To find perimeter, add all the sides together.

9 + 9 + 5 + 12 = 35

The perimeter is 35.

Answer:

x+65=180(being cointerior angle)

x=180-65

x=115

Answer:

3x + 5

Step-by-step explanation:

plug in (1,8) as x in y so it looks like this

8 = 3(1) + B then solve for B to get 5 then plug it in as y=3x+5

Answer:

8

Step-by-step explanation:

4 different shirts would be 4 combinations. You can have one of each of the jeans on the mannequin, giving 4x2=8.

Answer:

8

Step-by-step explanation:

The required triangle PQS and triangle QRS are similar triangles. Option D is correct.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

According to the diagram,
It can be inferred that triangle PQS and triangle QRS are similar to each other. The term "similar" implies that these two triangles have the same shape but can be different in size. Specifically, the corresponding angles of these triangles are equal, and the corresponding sides are in proportion.

Consider triangle, PQS, and triangle QRS

Angle S is the common angle in both the triangles
And angle Q is similar to angle R

So both the triangle are similar by AA similarity postulate

Therefore, option D is correct.

Learn more about triangle similarities here:

https://brainly.com/question/14926756

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Answer:

a = 4

Step-by-step explanation:

a = 4

If a = 4, then both lines have the same slope and different y-intercepts. That makes both lines parallel. Since the lines never intersect, there is no solution.

Answer:

x can not equal zero, as it would cause division by zero.

Step-by-step explanation:

First, let's make one equation out of them and see what we get.  Because both of them have y on the left, we can say that the two right sides are equal, giving us:

4x - 9 = ax + 6

If we solve for a, we get:

ax + 6 = 4x - 9

ax = 4x - 15

a = 4 - 15 / x

With that arrangement we can see clearly that x can not be equal to zero, as it would give us division by zero.

Answer:

Substitute y and x

(2)2 + (1)3+7

then multiply 2 * 2

4+ (1)3+7

then multiply 1* 3

4+ 3+7

add those numbers

14 ang iyong sagot, tandaan kapag nakikita ang panaklong tulad ng nakikita mo dito nangangahulugang dumami

Answer:

[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.

Answer:

±√7

Step-by-step explanation:

[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]

Answer:

93

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

convert 1.25 meters to feet

1 meter = 3 feet

1.25 meters = 1.25 x 3 = 3.75 feet

Number of gifts he can warp = 25 feet / 3.75 = 6.6

Answer:

240 ounces

Step-by-step explanation:

y'know you could just look this up lol

Answer:

240 oz

Multiply pounds by 16

15 × 16 = 240

Answer:

15

Step-by-step explanation:

BD=AC

E is the midpoint of both lines, so BE=CE

Answer:

A. -2

Step-by-step explanation:

-25p - 2 = 48

First, add 2 to both sides

That gives you

-25p = 50

Then, divide both sides by -25. Then that leaves the answer.. p = -2