Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answer:

MO, NO, MN

Step-by-step explanation:

First, we can identify this triangle as a right triangle, as given by the square next to the O. Next, we know that a right angle is equal to 90 degrees, and the sum of the angles of a triangle is equal to 180 degrees.

Therefore,

∠M + ∠O + ∠N (the angles of the triangle) = 180

49 + 90 + ∠N = 180

139 + ∠N = 180

subtract both sides by 139 to isolate the variable

∠N = 41

Therefore, ∠N is 41 degrees.

In a triangle, given the angles, we know that the side opposite the smallest angle is the side with the smallest length and so on.

Our angle lengths are

41, 49, and 90 degrees in order.

Therefore, the side opposite the largest angle (90 degrees, or ∠O) is the longest side. This is MN. Similarly, ∠N is the smallest angle, and the side opposite of that (MO) is the shortest side. This leaves NO to be in the middle

Answer:

x = 30

Infinite Solutions

No Solutions

Step-by-step explanation:

First, combine like terms

Then move all variable to one side and isolate them by undoing the action being done to them

Example 1:

6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

-9x                 -9x

x - 6 = 24

  +6     +6

x = 30

Example 2:

25 - 4x = 15 - 3x + 10 -x

25 - 4x = 25 - 4x

Since they are the same on both sides, this equation has Infinite Solutions

Example 3:

4x + 8 = 2x + 7 + 2x -20

4x + 8 = 4x - 13

-4x        -4x

8 = -13

This statement is untrue, therefore this equation has No Solution

Answer:

5.30

Step-by-step explanation:

Total cost = flat fee + cost per mile * number of miles

              c(m)  = 3.50 + .60m

Let m=3

c(3)  = 3.50 + .60(3)

    = 3.50 + 1.80

    =5.30

Answer:

B: $5.30

Step-by-step explanation:

Each mile is $0.6, to get the result for 3 miles we would need to multiply $0.6 by 3. $0.60 * 3 = $1.8. Finally we would need to add the 3.50 to $1.8 resulting in $5.30

Answer:

65%

Step-by-step explanation:

120 * x = 78

78/120 = x

.65 = x

Answer:

35%

Step-by-step explanation:

First, set up the equation.

Then solve.

78-120 is -42.

Divide by 120. -0.35.

Multiply by 100. -35.

The negative sign means that it is decreasing, so you can take it away.

I hope this helps!

Answer:

[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]

Step-by-step explanation:

The given system of equations is presented as follows;

[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]

3·t - 6·s = 9

Making t the subject of both equations, gives;

In the first equation; t = (3 - s/2)/5

In the second equation; t = (9 + 6·s)/3

Equating both values of t to find the the values that satisfies both equations, gives;

(3 - s/2)/5 = (9 + 6·s)/3

3 × (3 - s/2) = 5 × (9 + 6·s)

9 - (3/2)·s = 45 + 30·s

45 - 9 = (30 + (3/2))·s

36 = (63/2)·s

s = 36/(63/2) = 8/7

t = (3 - s/2)/5

∴ t = (3 - (8/7)/2)/5 = 17/35

Therefore, the ordered pair is (8/7, 17/35)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The usual glide slope for landing is about 3°. The descent rate here of 0.25 km/min corresponds to 15 km/h. For the slope to be 3°, the forward speed of the airplane would need to be 286 km/h, about 154 knots.

This is not unreasonable for an approach speed for a (very) heavy airplane. Usually, the rate would be a little lower, but we wanted something that would fit on the grid provided.

Answer:

96

Step-by-step explanation:

We have to find number of 9 digit palindromes  when all digits are even and each digit appearing not more than twice.

Digits used here

0,1,2,3,4,5,6,7,8,9

Total number of even digits=0,2,4,6,8=5

Now,

0 cannot be used for first place if number is 9-digit number.

Firs place can be filled by number of ways=4

Second place can be filled by number of ways=4

Third place can be filled by number of ways=3

Fourth place can be filled by number of ways=2

Fifth place can be filled by number of ways=1

Total number of ways=[tex]4\times 4\times 3\times 2\times 1[/tex]

Total number of ways=96

Hence, total number of 9-digits palindromes  when all digits are even and appearing not more than twice=96

Answer:

C

Step-by-step explanation:

substitute 2.1 for 't' in the given equation

h = 113.391

Answer:

p³ + q³ is -9

Step-by-step explanation:

[tex]{ \tt{ {(p + q)}^{3} = ( {p}^{2} + {q}^{2} + 2pq)(p + q) }} \\ { \tt{ {(p + q)}^{3} = ( {p}^{3} } + 3p {q}^{2} + 3 {p}^{2} q)} \\ { \tt{ {p}^{3} + {q}^{3} = {(p + q)}^{3} - 3pq(p + q)}} \\ { \tt{ {p}^{3} + {q}^{3} = {(3)}^{3} - 3(4)(3) }} \\ = - 9[/tex]

Answer:

i think it is d

Step-by-step explanation:

because 0^2 is 0 and -8^2is64

then,64+0=64 so i think that is what they mean by that hope it helps

Answer:

156

Step-by-step explanation:

f(x)= 4^(2x) -100

Let x =2

f(2)= 4^(2*2) -100

   = 4^4 - 100

   = 256 -100

   = 156

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!

Answer:

4 triangles and 1 square

Step-by-step explanation:

Required

The shapes in two-dimensional net of a square pyramid

To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)

From the attachment, we can see that:

The 2d shape of the pyramid is made of 4 triangles and 1 square

Answer:

D

Step-by-step explanation:

Answer:

S = 35 + 20w

Step-by-step explanation:

Amount Samantha has in her account = $35

Additional savings per week = $20

Let

S =Totai savings in Samantha's account at the end of the week

w = number of weeks

The equation:

Totai savings in Samantha's account at the end of the week = Amount Samantha has in her account + (Additional savings per week * number of weeks)

S = 35 + 20w

Answer:

s=35+20w

Step-by-step explanation:

Answer:

3.375 cm^2

Step-by-step explanation:

The area of a parallelogram is given by

A = bh  where b is the base and h is the height

A = 2.25 * 1.5

A =3.375 cm^2

Area = length x height

Area = 2.25 x 1.5

Area = 3.375 cm^2

Answer:

98

Step-by-step explanation:

1) You shulduse the formula x^2-y^2= (x-y)(x+y)

That obvious, that 9.9 is considered as x, and 0.1 as y

2) So  9.9²- 0.1²​= (9.9-0.1) * (9.9+0.1)=9.8*10=98

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

Answer:2 and 6

Step-by-step explanation:

Given

In 4 years Craston's age will be the same as Terrins age is now

Suppose the present of Craston's and Terrins are [tex]x[/tex] and [tex]y[/tex] respectively

According to the question

[tex]\Rightarrow x+4=y\\\Rightarrow y-x=4\quad \ldots(i)[/tex]

In 2 years Terrin will be twice as old  as craston

[tex]\Rightarrow (y+2)=2(x+2)\\\Rightarrow y-2x=4-2\\\Rightarrow y-2x=2\quad \ldots(ii)\\[/tex]

Solving (i) and (ii) we get

[tex]x=2,y=6[/tex]

Thus, the present age of Craston and Terrins are [tex]2[/tex] and [tex]6[/tex]

Answer:

[tex] \sqrt[]{ \frac{0}{0} } [/tex]

Explainion are shown in pictures above

Answer:

540m^3

Step-by-step explanation:

There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.

Answer:

the answer is 540

Step-by-step explanation:

because 3x5x36=540

Answer: A. 25 miles

Step-by-step explanation: I used Pythagorean’s Theorem.

Answer:

225 degrees

Step-by-step explanation:

Given the following data;

To find the angle in degrees subtended by an arc;

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

Substituting the values into the formula, we have;

22 = 5.6 * A

[tex] A = \frac {22}{5.6} [/tex]

A = 3.9286 radians.

Next, we would convert the value of the angle in radians to degrees;

Conversion:

[tex] 1 \; radian = \frac {180}{\pi} \; degrees [/tex]

[tex] 3.9286 \; radians = X \; degrees [/tex]

Cross-multiplying, we have;

[tex] X = \frac {180}{\frac {22}{7}} * 3.9286 [/tex]

[tex] X = \frac {180 * 7}{22} * 3.9286 [/tex]

[tex] X = \frac {1260}{22} * 3.9286 [/tex]

[tex] X = 57.2727 * 3.9286 [/tex]

X = 225.0015 ≈ 225 degrees

Answer:

brah, where's the triangle

Step-by-step explanation:

looooooooooooooooooooooooooool

Answer:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)=7

n(B)=9

n(A∪B)=14

Substituting in 1

14=7+9−n(A∩B)

⇒n(A∩B)=16−14=2

Step-by-step explanation:

ok

Answer:

The question is incomplete.

It should be:

Find n(U)

Find n(A∩B):

2.8 mm

2mm^2=4mm

4mm+4mm = 8mm

square root of 8mm is 2sqrt2

2sqrt 2 is 2.8 mm

Answer:

16⅜ cups

Step-by-step explanation:

Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:

15¾ cups + ⅝ cups = ?

15¾ = 63/4 = 126/8

126/8 + ⅝ = 131/8 = 16⅜

Answer:

3.6

Step-by-step explanation:

the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6

Answer:

C.

Step-by-step explanation:

Dis means apart and junc means join so disjunction means the "state of being disconnected".