Answer:
y-7= -1/5x
Step-by-step explanation:
general formula (y-y1)= m(x-x1)
m is the slope and in this case m=-1/5
(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y
substitute your given in the equation
(y-7) = -1/5(x-0)
y-7= -1/5x
Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2
Answer:
92,00=9.2*10^4
109,000=1.09*10^5
4,673=4.673*10^3
0.00087=8.7*10^-4
0.0235=2.35*10^-2
Step-by-step explanation:
Brainiest!!!!!!! please help
The answer to this question is B, No solution
Question 2
2.5 pts
A firefighter sees a woman trapped in a building 91 feet up from the bottom floor. If the
firetruck is parked 67 feet away from the bottom of the building, at what angle of elevation, to
the nearest degree, should the firefighter extend the ladder to reach the woman?
Previous
Answer:
The firefighter should extend the ladder at 54° of elevation.
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Tangent Ratio:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.
The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.
Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:
[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]
The angle is calculated as the inverse tangent:
[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]
The firefighter should extend the ladder at 54° of elevation.
SOMEONE PLEASE HELP ME WITH THIS!!!!
Answer:
D.
Step-by-step explanation:
115x + 170 = 630
Subtract 170 from each side of the equals,
115x = 460
Divide 460 by 115,
4
Thus, D is your correct answer.
Answered by:
matthewarvin06
Hey! Thanks for reading my answer. If this helped you in any way, please rate or say thanks! It's really appreciated. If you have any further questions, please let me know. Thanks!
game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )
Answer:
Winners:Losers
2:9
Step-by-step explanation:
Winners:Losers
6:27
[÷3]
2:9
Answer:
Ratio 2:9
Step-by-step explanation:
For every 27 winner there are 6 people who win
For every 6 people who win 27 people do not win
So the ratio is 6:27 This can be simplified by dividing by 3
Ratio 2:9
Select all the statements about the figure that MUST be true. Р Q 6n + 3 S 4n + 11 R PR=15 QS=21 QP=13 n=7 SR=27 QR=54
Answer:
Options (5) and (6)
Step-by-step explanation:
From the picture attached,
In right triangle ΔPSQ and ΔPSR,
PS ≅ PS [By reflexive property]
PQ ≅ PR [Given]
ΔPSQ ≅ ΔPSR [By HL property of congruence]
Therefore, QS ≅ SR [CPCTC]
(6n + 3) = (4n + 11)
6n - 4n = 11 - 3
2n = 8
n = 4
QS = (6n + 3)
= 6×4 + 3
= 27
SR = (4n + 11)
= 4×4 + 11
= 16 + 11
= 27
QR = QS + SR
= 27 + 27
= 54
Therefore, Options (5) and (6) are the correct options.
GUYS MORE HELP LIKE FAST
Step-by-step explanation:
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What is the distance between point (3,2) and line y=1/4x-9
Answer:
9.94
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] x - 9
y - 2 = - 4(x - 3)
y = - 4x + 14
- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9
16x - 56 = - x + 36
17x = 92
x = [tex]\frac{92}{17}[/tex]
y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]
(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )
d ≈ 9.94396
9/10 / -6/5 WHAT IS THE ANSWER?!?!?!?!?
Answer:
the answer is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Simplify the expression:
- square root of 96
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function.
Answer:
4/1x plus 2
Step-by-step explanation:
In the isosceles trapezoid LMNO, find the value of x.
5
9
15
45
Answer:
15 would be the correct answrr
please help please help please help please help
Answer:
it is -5
Step-by-step explanation:
Answer:
Correct Answer = -5
Step-by-step explanation:
If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left
Answer:
3 gallons
Step-by-step explanation:
2 - 1 + 2 = 3
Learn with an example
A triangle has angle measurements of 121°, 35°, and 24°. What kind of triangle is it?
acute
right
obtuse
Answer:
Obtuse
Step-by-step explanation:
because 121
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
Write as an exponent with the base of b:
[tex]bb^{m}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]b. {b}^{m} = {b}^{1 + m} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63
Answer:
B. X = 76, y = 63, z = 104
Step-by-step explanation:
46+58+x=180
104+x=180
x=180-104
x=76
Does this image have a set of inputs to a set of possible outputs where each input is related to exactly one outputs Yes or No?
Explain your answer
Answer: Yes
This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.
Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x
Answer:
7.99
General Formulas and Concepts:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
x² + 3x
x = 1.7
Step 2: Solve
Substitute: 1.7² + 3(1.7)Exponents: 2.89 + 3(1.7)Multiply: 2.89 + 5.1Add: 7.99Which piecewise function is shown in the graph?
Answer:
A
Step-by-step explanation:
why would i lie to you
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answer:
Step-by-step explanation: 12r-6+1= 12r-5
-8+12r+3= 12r-5
A and B
Which of the following numbers is not a perfect square?
a. 49
b. 121
c. 125
d. 144
Answer:
C. 125Step-by-step explanation:
49 = 7×7 ← a perfect square
121 = 11×11 ← a perfect square
144 = 12×12 ← a perfect square
but:
125 = 5×5×5 = 5√5×5√5 and 5√5 is not integer so 125 is not a perfect square
Answer:
C. 125
Step-by-step explanation:
source: trust me bro
Is y=1/2x-1 proportional
Answer: No
Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.
Find the slope of the line that passes through the points (-10, 2) and (5, 3).
Answer:
15
Step-by-step explanation:
What is 10 times as much as 0.06.
Answer:
6
Step-by-step explanation:
move the six 2 digits to the left
I need help :( this is like super hard I dont know what the anser is
Answer:
c
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
B. 1/4
Step-by-step explanation:
4 divided by 16 is 0.25 which is 1/4
Nathan is using his grandmother's recipe to make pies
On Monday, he used 15 3/4 cups of sugar to make 9 pies
On Tuesday, he used 23 3/4 cups of sugar to make 13 pies
Which of the following must be true? (Select all that apply)
A) He used 1 cup of sugar for every 1 3/4 pies he made
B) He would use 14 cups of sugar to make 8 pies
C) The number of cups of sugar is proportional to the number of pies he made because he used the same number of cups of sugar for each pie
D) The number of cups of sugar is not porptional to the number of pies he made because the increase in the number of cups of sugar between Monday and Tuesday is greater than the increase in the number of pies
E) if Nathan uses 8 3/4 cups of sugar to make 5 pies on Wednesday and then graphs the points, for all the three days, to represent the relationship between the cups of sugar used and the number of pies made, the points would not fall on a straight line
Answer:
its a & c
Step-by-step explanation: