Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)
where:
m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this caseIn this case, you know:
A line has a slope of 3/8.The line passes through the point (15.2,-7).The point-slope form of the line is written as:
y- (-7)= 3/8(x- 15.2)
y + 7= 3/8(x- 15.2)
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Which expression is equivalent to log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
Express properly
So, we have the following representation
log₁₂(x⁴√x³) - 2(x+1)⁵
Evaluate the exponent
log₁₂(√x¹¹) - 2(x+1)⁵
Apply the power rule of logarithm
This gives
11/2log₁₂(x) - 2(x+1)⁵
Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵
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Find the product.
(6a² + 4b) (a²- b)
On solving the provide question, we can say that - the quadratic equation [tex](6a^2 + 4b)(a^2 - b)[/tex] = -4
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, we have
[tex](6a^2 + 4b)(a^2 - b)[/tex]
a = 0 and b = 1
-4
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plz help me 5th grade work
Answer:
228 chocolate chips
Step-by-step explanation:
I don't really know the methods you used because I didn't use them in 5th grade. But the answer is 228 chips.
38 + 38 + 38 + 38 + 38 + 38 = 228
Answer:
1. 6x30 = 180
6x8 = 48
180+48 = 228
2. 38 x 6 = 228
What is the volume of a cone with a radius of 5 inches and a helght of 12 inches ? (Use 3.14 for pi)
Answer:
Same Class lol
Step-by-step explanation:
A triangular prism has a height of 9 meters and a triangular base with the following dimensions. What is the surface area of the prism? 420 m 2 324 m 2 504 m 2 372 m 2
Answer:
420 m2
Step-by-step explanation:
Hope this helps
The surface area of the prism will be equal to 366 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
A triangular prism has a height of 9 meters and a triangular base with the following dimensionsThe surface area of the prism will be calculated as:-
Surface area = Sum of the area of all sides
There are three rectangle faces and two triangular faces in the triangular prism.
Surface area = 3 ( area of rectangle) + 2 (area of triangle)
Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]
Surface area = 270 + 96 = 366 square meter.
Therefore the surface area of the prism will be equal to 366 square meters.
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Find the area of the shaded region.
40 ft
16 ft
14 ft
10 ft
Answer:
Area = 780 ft²
Step-by-step explanation:
Area of the shaded region = area of rectangle A + area of rectangle B
Area of rectangle A = L*W
L = 40 ft
W = 16 ft
Area of rectangle A = 40*16 = 640 ft²
Area of rectangle B = L*W
L = 10 ft
W = 14 ft
Area of rectangle B = 10*14 = 140 ft²
Area of the shaded region = 640 + 140 = 780 ft²
Find sin(a) in the triangle.
Answer:
D. 20/29
Step-by-step explanation:
The sine of an angle in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, or [tex]sin(a) = \frac{opposite}{hypotenuse}[/tex]. The hypotenuse is the longest side of a right triangle.
In this case, the opposite side has length 20, and the hypotenuse has length 29. Therefore, the answer is
[tex]sin(a) = \frac{20}{29}[/tex].
To remember this (and the other trigonmetric ratios), you can use the acronym SOCAHTOA, where
SOH is sin(a) = opposite/hypotenuse
CAH is cos(a) = adjacent/hypotenuse
TOA is tan(a) = opposite/adjacent
HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
Mr. Tompkins rode a bus that averaged 30 mph from his home to the airport, and
flew to another city at 250 mph. If his total trip was 670 miles and it took him four
hours of traveling time, how many miles does he live from the airport?
Therefore, Mr. Tompkins lives 240 miles from the airport.
Define acceleration.Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time.
We can start solving the problem by using the formula: distance = speed x time.
Let x be the distance from Mr. Tompkins' home to the airport in miles.
Therefore, the distance from the airport to the other city is (670 - x) miles
we know that the total traveling time is 4 hours
so we can set up two equations:
x/30 + (670 - x)/250 = 4
x + (670 - x)/8 = 120
we can solve for x
x = 240 miles
Therefore, Mr. Tompkins lives 240 miles from the airport.
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Find the surface area of the rectangular prism.
1yd
3 yd
5 yd
Answer:
Step-by-step explanation:
So first you going to multiply the 1 by the 5 yd then divide that 3 by how many blocks there are and then add your answer of 40
HURRY ASAP PLEASE!!! WORTH 20 POINTS! YOU WILL ALSO GET BRAINLYEST!
Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club. Her sample space includes all 52 cards in a standard deck. Which of these outcomes compose the event?
Answer:
someone deleted ur ans from y question can you please write it again
thank you.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
how fast are you going if you fly 1500 kilometers in just 2 hours?
A television weather forecaster reported
that temperatures the previous night had
stayed between -6 °F and 2 ºf Which
of the following might have been the
temperature the previous night?
A -7 °F
B -3 °F
C 3 °F
D 9 °F
Find the volume of the rectangular prism.
Answer:
1 1/2*3 1/2*5= 5 cm^3
1. Jason made 3 quarts of corn chowder. He divided it into serving sizes of 1 12 cups each. How many 1 12 -cup servings can be made from 3 quarts of chowder? A. 4 12 servings B. 8 servings C. 12 servings D. 18 servings
Answer:
B. 8 servings
Step-by-step explanation:
1 quart = 4 cups
3x4=12
3 quarts of clam chowder = 12 cups of chowder
1 1/2 cups each
12 divided by 1 1/2 = 12 divided by 3/2 = 12 divided by 2/3 = 8 servings
Which equation is part of the same fact family as 5 x 4 =20?
"what is the median of the following values 9,9,2,8,11,6,4"
Answer: 8
Step-by-step explanation:
Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:
2, 4, 6, 8, 9, 9, 11
The number eight appears to be in the very middle, therefore it is the median.
Find . =
Find lim x→5 f(x) if f(x) = {
Answer: -26
Step-by-step explanation:
edge 2021
Help me please?!?!? Giving brainly!
21, 19, 25, 23
Step-by-step explanation:
I hope this helps!
Answer: it's the third answer
Step-by-step explanation: + 6 then -2Help please I’ll give extra points
Answer:
56
Step-by-step explanation:
180-124 ....................
Solve
3x 2 2x 5 1 x
—— —— ——
4 3 6
Answer:
6x/4×10x/3× x/6
5x^3/6
Hello how to work out this question
Answer:
angle x is 69. angle y is 69 as well
Step-by-step explanation:
Mr kirk has 6 boxes of 20 oranges how many does she have in total
Answer:
120
Step-by-step explanation:
6 x 20 = 120
What is the solution to the system of linear equations?
Answer:
C. (0, 2)
Step-by-step explanation:
The solution to the systems of linear equations is the coordinates of the point (x, y) where both lines of the equations intercept each other on the graph given.
Thus, the lines intercept at the point where when x = 0, y = 2.
Therefore, the solution = (0, 2).
Simplify –3V/24 + 5/32 - 7/54 + 8 50.
If a person making $6.50 gets a $0.70 raise, what is the percent increase? Round to the nearest tenth of a percent.
Answer:
10.8% increase
Step-by-step explanation:
($0.70/$6.50) x 100 = 10.769% = 10.8%
Use the graph to complete the sentences about two runners.
Runner____is faster than Runner____.
Runner____has a head start.
Answer:
1.Runner A is faster than Runner B.
2.Runner B has a head start.
Step-by-step explanation:
1. Runner A is at a further position (has a higher y), when both A and B have the same X(time)
2.At an X of 0(start) B has a further position (higher X)
I hope this helps you :)! Have a nice day.
Find the range of the following details
GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION HELP NOW
Answer:
x = 250°
Step-by-step explanation:
"Angle formed between a chord and tangent intersecting on a circle measure the half of the intercepted arc"
From the figure attached,
Angle between the chord and the tangent = 55°
Measure of intercepted arc (minor arc AB) = h°
Therefore, 55° = [tex]\frac{1}{2}(h)[/tex]
[tex]h=110^0[/tex]
And m(minor arc AB) + m(major arc AB) = 360°
h° + x° = 360°
110° + x° = 360°
x° = 360° - 110°°
x = 250°
Therefore, measure of the intercepted arc is 250°.
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