Choose the equation that represents the graph below: Graph of a line passing through points 0 comma 6 and 9 comma 0 y = −2x − 6 y = two thirdsx + 6 y = −two thirdsx + 6 y = 2x + 6
Answer: y=[tex]\frac{-2}{3} x+6[/tex]
Step-by-step explanation: equation of line passing through (x1,y1) and (x2,y2) is given by
y-y1=[tex]\frac{y2-y1}{x2-x1} (x-x1)[/tex]
here (x1,y1)=(0,6) and (x2,y2)=(9,0)
y-6=[tex]\frac{0-6}{9-0} (x-0)[/tex]
y-6=[tex]\frac{-2}{3} x[/tex]
y=[tex]\frac{-2}{3} x+6[/tex]
If it takes 4 people 4 days to dig a hole, how long does it take 2 people to dig a half-hole
write the polynomial in standard form 4g – g3 + 3g2 – 2
The required standard form of the polynomial is -g³ + 3g² + 4g - 2.
To write the polynomial in standard form 4g – g3 + 3g2 – 2
the equation is the relationship between variables and is represented as y =ax + c is an example of a polynomial equation.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
The standard form of the polynomial equation is written equation is descending order of the exponents of the variable.
= 4g – g3 + 3g2 – 2
= -g³ + 3g² + 4g - 2./
Thus, the required standard form of the polynomial is -g³ + 3g² + 4g - 2.
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ2
I just need this really quickly please, I have 20 minutes till due.
What is 3/4/1/4 plz anyone help meee!!!!!!
Two points in the xy plane have cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. determine (a) the distance between these points and (b) their polar coordinates
The distance between the two points is approximately 29.70 m. The polar coordinates of the points are approximately (24.20 m, 1.46 radians).
Explanation:To find the distance between two points in the Cartesian coordinate plane, we can use the distance formula.
The distance between the points (2.00, 24.00) m and (23.00, 3.00) m is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
d = sqrt((23.00 - 2.00)^2 + (3.00 - 24.00)^2)
d = sqrt(441 + 441)
d = sqrt(882)
d ≈ 29.70 m
The polar coordinates of a point (x, y) can be found using the formulas:
r = sqrt(x^2 + y^2)
p = atan2(y, x)
Plugging in the values, we get:
r = sqrt(2.00^2 + 24.00^2)
p = atan2(24.00, 2.00)
r ≈ 24.20 m
p ≈ 1.46 radians
Learn more about Cartesian coordinates here:https://brainly.com/question/32985146
#SPJ12
Do all rational equations have a single solution? why? is there a time when a rational equation doesn't have a solution?
12 times h equals 120 minus 36
Solve the triangle. A = 54°, b = 11, c = 8
options:
No triangles possible
a ≈ 13.4, C ≈ 49.6, B ≈ 76.4
a ≈ 13.4, C ≈ 45.6, B ≈ 80.4
a ≈ 9, C ≈ 45.6, B ≈ 80.4
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?
Answer:
35
Step-by-step explanation:
The volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Suppose the base of the pyramid has length = L units and width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
V = (Base area x H) / 3
The volume of a pyramid varies jointly with the base area of the pyramid and its height.
The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches.
Then the volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be
V = (15 x 7) / 3
V = 35 cubic inches
Hence, the volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ5
Factor the trinomial below.
x^2-5x-14
A. (x-2)(x-7)
B. (x+2)(x-7)
C. (x+2)(x+7)
D. (x-2)(x+7)
Answer:
The factored form is
[tex]x^2-7x+2x-14=(x+2)(x-7)[/tex]
Step-by-step explanation:
Given the trinomial
[tex]x^2-5x-14[/tex]
we have to factor the above trinomial.
[tex]x^2-5x-14[/tex]
By middle term splitting method
[tex]x^2-7x+2x-14[/tex]
Taking x common from first two terms and 2 from last two terms
[tex]x(x-7)+2(x-7)[/tex]
[tex](x+2)(x-7)[/tex]
which are required factors.
Hence, option B is correct.
Which number is not in scientific notation?
A) 9 ⋅ 10 to the power of 19
B) 7.8 ⋅ 10 to the power of 6
C) 1.45 ⋅ 10to the power of −7
D) 0.33 ⋅ 10 to the power −15
for scientific notation you want a whole number multiplied by 10 to a power
so since D is a decimal ( 0.33) that is not scientific notation
A new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4 -9 , where x represents the number of parking spots in the first row . how many spots are in the parking lot if there are 32 parking spots in the first row
its 69---------------------------------
How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?
Answer:
[-8,2]
Step-by-step explanation:
We are given that the function f(x) is transformed to the function g(x), where,
[tex]f(x) =-5 \cos 2x[/tex] and [tex]g(x) =-5 \cos 2x-3[/tex].
Since, the range of [tex]\cos x[/tex] is [-1,1].
Thus, the range of [tex]a\cos bx[/tex] is {-a,a].
So, the range of [tex]f(x) =-5 \cos 2x[/tex] is [-5,5].
As, we are translating the function f(x) 3 units downward to get g(x).
The graph of the function is shifted 3 units down.
So, the range of g(x) will be [-5-3,5-3] = [-8,2].
Hence, the range of [tex]g(x) =-5 \cos 2x-3[/tex] is [-8,2].
A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse?
Answer:
A right triangle has legs that are 10.1 inches and 12.2 inches long. What is the approximate length of the hypotenuse?
6.8 inches
15.8 inches
22.3 inches
125.5 inches
B. 15.8 inches is the correct option
find the point that splits segment cd in half if point c is located at (-2,4) and point d is located at (3,7)
Answer: The required co-ordinates of the point are (0.5, 5.5).
Step-by-step explanation: We are given to find the co-ordinates of the point that splits CD in half if point C is located at (-2,4) and point D is located at (3,7).
The point that splits the line segment CD in half will be the mid-point of the segment CD.
We know that
the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the co-ordinates of the given point that splits CD in half are given by
[tex]\left(\dfrac{-2+3}{2},\dfrac{4+7}{2}\right)=\left(\dfrac{1}{2},\dfrac{11}{2}\right)=(0.5,5.5).[/tex]
Thus, the required co-ordinates of the point are(0.5, 5.5).
The area of the small triangle is 10.5 meters squared and the area of the larger triangle is 94.5 meters squared. If the altitude of the large triangle is 9, what is the altitude of the smaller triangle?
ANSWER QUICK AND EXPLAIN HOW TO SOLVE
write a conditional statement that correctly describes each venn diagram
I REALLY NEED HELP WITH THIS!!!!!!!!!!!!
A conditional statement that correctly describes each Venn diagram include the following;
I. If m∠A = 40, then it represent acute angles.
II. If 2x = 4, then x is equal to 2.
What is a conditional statement?In Mathematics, a conditional statement is a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."
Where:
P and Q represent sentences or statements.
Part I.
Based on the Venn diagram shown in the image above, we can logically deduce the following conditional statement;
"If m∠A = 40, then it represent acute angles."
All acute angles are less than 90 degrees.
Part I.
Based on the Venn diagram shown in the image above, a conditional statement that correctly describes it can be written as follows;
"If 2x = 4, then x is equal to 2."
Proof:
2x = 4
x = 4/2
x = 2
Read more on conditional statement here: brainly.com/question/16951916
#SPJ3
In square QRST, points U and V are midpoints. If the square has a side length of 18 mm, what is the probability that a point chosen at random in the square lies in the shaded triangle region? Round the answer to the nearest thousandth. A. 0.028 B. 0.056 C. 0.125 D. 0.222
Answer:
C.
Step-by-step explanation:
Convert 0.0000001 to a power of 10.
107
10−7
106
10−6
10^-7 = 0.0000001
when the number is a decimal the power is a negative number
4(8x-8)=-192 what's that mean and can someone help me asap
Can someone help me please? I don't know how to do this problem, could someone explain step by step? It would be greatly appreciated. I've also included 15 points to whoever answers this.
A hybrid car can travel 45 miles on 1 gallon of gas. Determine the amount of gas needed for a 500 mile trip
they can drive 45 miles on 1 gallon, so divide 500 by 45
500/45 = 11.11
they would need 11.11 gallons of gas
Which graph represents y = |x2| − 3x − 4?
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
The side that is parallel to side s is side q. The equation of side q is: y = -x + 9.
What is the Equation of a Line?We can represent the equation of a line as, y = mx + b, where m is the slope of the line and b is the y-intercept.
The side that is parallel to side s is q.
Slope (m) of q = change in y / change in x = (6 - 3) / (3 - 6) = 3/-3 = -1.
Substitute m = -1 and (3, 6) = (a, b) into y - b = m(x - a):
y - 6 = -1(x - 3)
y - 6 = -x + 3
y = -x + 3 + 6
y = -x + 9
Equation of the side that is parallel to side s is: y = -x + 9.
Learn more about the equation of a line on:
https://brainly.com/question/13763238
#SPJ2
What is the volume of a hemisphere with a diameter of 6 feet to the nearest hundredth of a cubic foot?
The volume the hemisphere is 56. 55 cubic feet
what is the volume of the hemisphere ?
The volume of a hemisphere is the space occupied by the hemisphere.
Formula used to find volume of the hemisphere is :
V = 2/3 × π × r ^3
Given : diameter = 6 feet
r = d/2 = 3 feet
V = 2/3 × π × 3 ^3
⇒ 2/3 × 22/7 × 27
V = 56.5486 cubic feet
round off to nearest hundredth is :
V = 56. 55 cubic feet
Hence , the volume of hemisphere is 56. 55 cubic feet .
Learn more about the volume of the hemisphere here :
brainly.com/question/13647001?
#tag #SPJ2
What is the length Jc EF in the right triangle below.
Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)
Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of elevation of the balloon are observed by the men to be 75°20' and 49°30'. Find x rounded to the nearest whole number.
Answer:
471 ft.
Step-by-step explanation:
which of the following is equal to the rational expression when x does not equal -6
x^2-36 / x+6
A.) x^2-6
B.) x+6
C.) 1/x-6
D.) x-6
The rational equation [tex]x^2 - 36 / (x+6)[/tex], when x is not -6, simplifies to x - 6. The correct answer is D.) x - 6.
Explanation:This is a Mathematics problem related to algebraic expressions and rational expressions. Given the equation [tex]x^2 - 36 / (x+6)[/tex], when x is not equal to -6, we can simplify this equation by factoring. Note that x^2 - 36 is a difference of two squares, which factors into (x-6)(x+6). So we now have [tex](x-6)(x+6) / (x+6).[/tex]
Since x is not -6, we can cancel out the (x+6)s, leaving us with x-6. Therefore, the answer is D.) x - 6. It's important to be careful with the conditions given in the problem, as they can affect the result.
Learn more about Algebraic Expressions here:https://brainly.com/question/34192827
#SPJ2