What is the equation of the line that passes through (-5, 0) and (4, 3)?

Answer:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Step-by-step explanation:

Given

[tex]\tan A =-\sqrt{15[/tex]

Required

Find [tex]\tan(A - \frac{\pi}{4})[/tex]

In trigonometry:

[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]

[tex]tan \frac{\pi}{4} = 1[/tex]

So:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Answer:

StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Step-by-step explanation:

EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction

Answer:

6^2

Step-by-step explanation:

6^2 because,

6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.

6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square

*This one almost tricked me*

6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776)  it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.

6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.

Therefore, its 6^2

(This is my 100th question answered!)

Hope this helps have a nice day!

Answer:

m = n+4

m = Matthew

N = Nicole

Step-by-step explanation:

Answer:

Hey! Answer: F

Step-by-step explanation:

13.5 ÷ 9= 1.5

18 ÷ 12 = 1.5

So our pattern is to enlarge/multiply it by 1.5

So 1.5 x 15 = 22.5

So F is our answer!

Answer:

1.47 years

Step-by-step explanation:

Given that,

The height of male elephant is given by the formula,

[tex]h=62.5\sqrt[3]{t} +75.8[/tex]

If h = 275 cm, we need to find the age of the elephant.

Put h = 275 cm in the above formula,

[tex]275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years[/tex]

So, the required time be 1.47 years.

Answer:

The function is:

Missing numbers:

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

Answer:

r = 16

Step-by-step explanation:

[tex]\frac{3}{8}r = 6 \\\\[/tex]

Multiply both sides by 8

[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]

Divide both side by 3

[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]

OR

Multiply both side by (8/3)

[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

Answer:

a) P

b) NP

c) P

d) p

e) p

1.30,35,40. add 5

2. 4,0,-4.  take 4

3. -8,-10,-12. add -2

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

      ------------------------------------

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.

Answer:

the area is 153,600 square feet

Step-by-step explanation:

240 feet × 40 feet = 9600 square feet  

9600 x 16 = 153,600 square feet

5 star please if this help. Hope it help. :)))

Answer:

the area is 153,600 square feet

Step-by-step explanation:

240 feet × 40 feet = 9600 square feet  

9600 x 16 = 153,600 square feet

Where is the picture?

Answer:

Each student will get 7 sheets with 11 sheets left over.

Step-by-step explanation:

divide 200 and 27 to get 7

7 sheets for each student

then multiply 27 and 7 to see how many sheets of paper she gave to her students.

that will give you 189

then 200-189=11 sheets left over

Given:

A figure of a circle.

To find:

The correct statement for the given figure.

Solution:

According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:

[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Difference between intercepted arcs})[/tex]

[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Larger arc - smaller arc})[/tex]

In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.

[tex]32^\circ=\dfrac{1}{2}(m(arcQAI)-m(arcQI))[/tex]

Therefore, the correct option is C.

Answer:

1024

Step-by-step explanation:

2•2•2•2•2•2•2•2•2•2

1024

Answer:

Steps:

d² = (8-(-4))²+(9-5)²

d² = (8+4)² + 4²

d² = 12² + 4²

d² = 144 + 16

d² = 160

d = √160

Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

Answer:

I think its A but not 100 percent sure

Step-by-step explanation:

2, 0

random words because word limit weee

Answer:

2r+3r

Step-by-step explanation:

even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r

Answer:

x = 96

Step-by-step explanation:

Answer:

x/6≥16

Step-by-step explanation:

Answer:

x=43°

Step-by-step explanation:

The angles are adjacent and create a straight line so their sum is 180°.

(x+6)°+(3x+2)°=180°

x°+6°+3x°+2°=180°

4x°+8°=180°

4x°=172°

x=43°

Answer:

its 45 as3*15 is 45 and 45*1 is 45

plz mark me branliest

Answer:

14

Step-by-step explanation:

Answer:

looks like 18 not sure tho

Step-by-step explanation:

Answer:

b) 41.6 square inches

Step-by-step explanation:

A regular hexagon is inscribed in a circle with a diameter of 8 inches.

Step 1

We find the radius

Radius = Diameter/2

= 8 inches/2 = 4 inches

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

An hexagon has 6 sides

The number of angles in an hexagon is calculated as:

[(Number of sides - 2) x 180]

= (6 - 2) x 180 = 720 ÷ 6 = 120°

The hexagon into 6 equilateral triangles with 4 for each of its sides.

The area of one of the triangles:

Height = 2√3

- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3

The area of the hexagon by multiplying the one triangle's area by 6:

6 x 4√3 = 24√3 square inches

= 41.569219382 square inches

Approximately = 41.6 square inches

Answer:

there is no question

Step-by-step explanation:

edit ur question

Answer:

Airplane A has the greater median flight length

Airplane A has a greater range

Airplane B has a greater spread

Answer:

4) A

5) B

6) B

Answer:

100 meters per minute

Step-by-step explanation:

Find his average speed by dividing the distance he walked by the number of minutes it took him:

500/5

= 100

So, his average speed was 100 meters per minute

Step-by-step explanation:

Here's your solution

=> percentage of zinc = 30%

=> total weight of alloy = 300 gram

=> amount of zinc = (30/100)*300 = 90 gram

=> amount of copper = 300 - 90 = 210 gram

hope it helps

Answer:

(a+b)*(a+b)

c*c

(1/2*a*b)*4

Step-by-step explanation:

The area of a square is equal to side times side, so a+b=one of the sides of a square so you multiply this by another a+b to get the whole square

Same as the last part but c is equal to one side so we do c*c for the are

The area of a triangle is 1/2*base*height, so we do 1/2*a*b since a is equal to the base of the triangle and b is equal to the height. This is only equal to 1 triangle so we multiply this by 4 since there are 4 triangles in total