A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)

14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]

14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y

14=y

for x

using pythagorsa theorem

H^2=P^2+B^2

14^2=X^2+(7[tex]\sqrt{3}[/tex])^2

196=X^2+147

196-147=X^2

49=X^2

[tex]\sqrt{49}[/tex]=X

7=X

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

Answer:

90

Step-by-step explanation:

Answer:

LITERALLY THESE WORDS: Because it goes up 8 and over 15

Step-by-step explanation:

if the goes up 8 and over 15 that has to be the slope.

I hope this helps even though its probably not :)

Answer:

41.1 feet of ribbon was leftover

(fraction form: 41 1/10)

Step-by-step explanation:

122 1/2 = 122.5

32 2/5 = 32 4/10 = 32.4

122.5 x 0.4 = 49

122.5 - 49 = 73.5

73.52 - 32.4 = 41.1

41.1

Answer:

Step-by-step explanation:

40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.

Equation: y=p%·x

p=40% x=122.5

Solve the equation for y.

y=p%·x

y=40%·122.5'

Converting percent to decimal.

p = 40%/100 = 0.4

y=0.4·122.5

y=49

[tex]49-32\frac{2}{5}[/tex]

[tex]49-\frac{162}{5}[/tex]

[tex]\frac{83}{5}[/tex]

[tex]16\frac{3}{5}[/tex]

Answer:

Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

The answer is 45°.

Step-by-step explanation:

Hey there!

Since it is an isoceles triangle two angles must be equal.

Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.

Then;

x+x+90° = 180° { Sum of interior angles of a triangle is 180°}

or, 2x + 90° = 180°

or, 2x= 180° - 90°

or, 2x = 90°

or, X= 90°/2

or, X=45°.

Therefore, the other angles are 45° and 45°.

Hope it helps!

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

Answer:

let x represent the number

7x-8=20

7x=20+8

7x=28

x=28/7

x=4

this is the correct answer

Answer:

7x-8=20         or          x=4

Step-by-step explanation:

Let's say the certain number is x

7x-8=20

Add 8 on both sides:

7x-8+8=20+8

Simplify:

7x=28

Divide 7 on both sides:

[tex]\frac{7x}{7}[/tex]=[tex]\frac{28}{7}[/tex]

Simplify:

x=4

[tex]_____________________________________[/tex]

Akala ko ako lang Pilipino dito

[tex]_____________________________________[/tex]

Answer:

Step-by-step explanation:

It's the graph on the left. First of all, range is a y-value thing (as opposed to an x-value thing). If we "read" that range from left to right, we have to begin our range interval at -∞, which actually has no beginning, and end our range interval at 0. The graph on the left goes does into infinity and maxes out at 0. (The one on the right starts at 0 and goes up into +∞).

Given:

The function is:

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

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

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

Substituting [tex]x=-2[/tex], we get

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

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)

a=1 goes to the first graph

a=0.25 goes to the second graph

Step-by-step explanation:

The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

A = 864 m^2

Step-by-step explanation:

For a rectangle of length L and width W, the area is given by:

A = W*L

We know that the park has:

L = 60m

W = 40m

Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:

L' = 60m + 2*4m

W' = 40m + 2*4m

(as you can see in the sketch at the end)

The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.

This is:

A = L'*W' - *W

A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m

A = 68m*48m - 60m*40m

A = 864 m^2

Answer:

  2.  (b) ∠ZYX

  3.  (b) noncollinear

Step-by-step explanation:

2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.

Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.

__

3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.

Answer:

(B-P) / Pz  = r

Step-by-step explanation:

B = P + Prz

Subtract P from each side

B-P = P -PPrz

B-P = Prz

Divide each side by Pz

(B-P) / Pr  = Prz/Pz

(B-P) / Pz  = r

Answer:

Nuclear fusion that takes place between hydrogen atoms.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.

Answer:

The convergent series are;

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

(And)

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

Step-by-step explanation:

A series in mathematics is the sum of a sequence of numbers to infinity

A convergent series is a series that sums to a limit

From the given options, we have;

First option

[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]

As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges

Second option

[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]

As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges

Third option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fourth option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fifth option

[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]

As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.

Answer:

C and D

Step-by-step explanation:

Edge 2021

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = [tex]5\dfrac{1}{2}[/tex]

2 and one third = [tex]2\dfrac{1}{3}[/tex]

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]

[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]

[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]

[tex]=\dfrac{77}{6}[/tex]

Therefore, the required number is [tex]\dfrac{77}{6}[/tex].

Answer:

I only know these, I am not sure of the answers too.

Step-by-step explanation:

Types of angles : 20°(acute angle), 90°(right angle)

Key information :

Equation : 20° + x° = 90°

Solution : x = 70°

Answer:

La masa de 10⁹ μm³ de agua es 1 mg.

Step-by-step explanation:

La densidad del agua es:

[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]

En donde:

m: es la masa =?

V: es el volumen = 10⁹ μm³

Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:

[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]

Ahora, la masa es:

[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]                      

Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.

Espero que te sea de utilidad!          

Answer:

m > -3

Step-by-step explanation:

-8m/-8 < 24/-8

when dividing by a negative number the sign changes

m > -3

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Step-by-step explanation:

Answer:

y = 2x - 8

Step-by-step explanation:

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

36cm³

Step-by-step explanation:

Volume= mass

density

Answer:

-7 and 1 multiply to 7 and add up to -6

Step-by-step explanation:

-7 and 1 multiply to 7 and add up to -6

Answer:

A

Step-by-step explanation:

Median can be described as the number that occurs at the middle of a set of observations.

for example, in the set of numbers, 1 2 3 4 5, the median is 3

median = (first number + last number) / 2

If there are 29 students,

median = (1 + 29) / 2 = 30/2 = 15

the 15th students scored 84

and students between 1 - 14 scored lower than 84

so, 15 students scored an 84 or lower

Answer:

The  answer is (15)²= (9)²+(BC)²

225=81+(BC)²

BC=√144

BC=12

They also have a pdf for it

copy and paste this pdf it should help you mepanswers.pdfStep-by-step explanation: