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Hunter-Best [27]
3 years ago
5

3. Write the equation of a line in slope-intercept form that passes through (9, 4) and is

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0
⭐️- Remember that slope formula is y=mx+b

1. Know that the m is (-3)
2. 4=(-3)(9)+b
3. 4=(-27)+b
4. b=31
5. y=(-3x)+31
6. y=3x-31*

*whenever it is finding a perpendicular, you switch the signs; when it is finding a parallel, you leave it alone

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Does anyone know the answer for the question below.
8090 [49]

Answer: option C

Step-by-step explanation:

The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC

Assuming the given angle is #,

Recalling the trigonometric ratio,

tan # = opposite / adjacent

If tan # = 4, it means

opposite / adjacent = 4/1

Therefore, opposite = 4 and adjacent = 1

Applying Pythagoras theorem,

Hypotenuse^2 = opposite ^2 + adjacent ^2

Hypotenuse = AC

Opposite = 4

Adjacent = 1

AC^2 = 4^2 + 1^2 = 17

AC = ± √17

To determine cos #, we would apply another trigonometric ratio,

Cos# = adjacent /hypotenuse

Cos# = 1/±√17

Cos # =-1 /√17 or 1/√17

8 0
3 years ago
On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on thi
maxonik [38]

Answer:

50%: day 13

100%: day 26

Step-by-step explanation:

We are given two days and the amount of the moon that is illuminated. The two days are points on a straight line.

(1, 0.02), (2, 0.06)

y = mx + b

m = (0.06 - 0.02)/(2 - 1) = 0.04

y = 0.04x + b

0.02 = 0.04(1) + b

b = -0.02

y = 0.04x - 0.02

We want y = 50% = 0.5

0.04x - 0.02 = 0.5

0.04x = 0.52

x = 13

y = 100% = 1

0.04x - 0.02 = 1

0.04x = 1.02

x = 25.5

7 0
3 years ago
Read 2 more answers
PLEASE HELP :D ( these are multi step equations )
AnnyKZ [126]
For the first problem the answer is -5/2

2x−7+10=−2

Step 1: Simplify both sides of the equation.
2x−7+10=−2
2x+−7+10=−2
(2x)+(−7+10)=−2

(Combine Like Terms)
2x+3=−2

Step 2: Subtract 3 from both sides.
2x+3−3=−2−3
2x=−5

Step 3: Divide both sides by 2.
2x/2=−5/2
x=−5/2

Answer:
x= -5/2
3 0
3 years ago
Which of the following fractions is equivalent to -84/-90 in the least common terms?
abruzzese [7]
Answer: 14/15

This is because to get to 14/15 you must divide by 6 but when getting to 42/45 you must divide 2. Therefore 14/15 is your answer because the problem went to the most reduced fraction.
5 0
3 years ago
If we wish to obtain a​ 95% confidence interval of a parameter using the bootstrap​ method, we determine the​ _______ percentile
BigorU [14]

Answer:

2.5th percentile and the 97.5th percentile.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

So we obtain the 0.025*100 = 2.5th percentile and the (1-0.025)*100 = 97.5th percentile.

So the answer is:

2.5th percentile and the 97.5th percentile.

8 0
3 years ago
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