Answer:
5.83
Step-by-step explanation:
Given data
x1= -8
y1= 0
x2= -5
y2= -5
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-5-(-8))²+(-5-0)²)
d=√((-5+8)²+(-5²)
d=√(3)²+25)
d=√9+25
d=√34
d= 5.83
Hence the distance between the points is 5.83
plz helppppppp has to be done in 30 mins
Answer:
7
Step-by-step explanation:
-42
-----------
-2-4
Complete the bottom part of the fraction first
-2-4 = -6
-42
-----
-6
Divide
7
Find the sixth term of the geometric sequence 9, -27, 81,
a6
Answer:
The sixth term of the sequence = -234
Step-by-step explanation:
The formula of a geometric sequence is:
aₙ = a₁ + r⁽ⁿ⁻¹⁾
Where;
aₙ = the term value
n = the term that has to be found out
a₁ = first term in the sequence
r = common ration
Here in this situation:
aₙ = unknown
n = 6
a₁ = 9
r = -3
Therefore the solution would be:
a₆ = 9 + (-3)⁶⁻¹
a₆ = 9 + (-3)⁵
a₆ = 9 + (-243)
a₆ = -234
Therefore the sixth term of the sequence would be: -234
Hope this helps!
Does anyone have any idea on how to solve this,or have some kind of formula to help me???
Which numbers are divisible by 2?
A)635
B)950
C)953
or non of these
Answer:
B
Step-by-step explanation:
950 is an even number.
What is the absolute value of -6
Answer:
6.
Step-by-step explanation:
The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.
source: https://socratic.org/questions/whats-the-absolute-value-of-6
i hope this helps!
Answer:
6
Step-by-step explanation:
Absolute value of -6 = 6
Absolute value refers to only the distance from the origin and not the direction. So, always it is positive
What is the slope of the line that passes through the points (0, -2) and (9,-5)?
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - (-2) / 9 - 0
-3 / 9
-1/3
Use the terms • What is a proof?
Answer:
evidence or argument establishing a fact or the truth of a statement.
Graph this function: f(x) = x2 - 4x - 5
Step 1: Identify a and b.
a=
b =
Answer:
a=1
b=-4
The graph is a parabola with vertex in (2,-9), y-intercept (0,-5) and x-intercepts (+5,0) and (-1, 0)
Step-by-step explanation:
[tex]xv = \frac{ - b}{2a} [/tex]
[tex]yv = f(xv)[/tex]
y-intercept: P(0, c)
x-intercepts: find x1 and x2 with the quadratic formula, then P1(x1, 0) and P2(x2, 0)
Answer:
Answer: a= 1 b= -4
Step 2 find the vertex formula x = -b/2aX= 4/2(1)X= 2
Find the y-coordinate of the vertex: f(x)= 2^2-4(2)-53F(2)= -9
Step 3: plot the vertex(2,-9)
Step 4: factor the function to find the x- intercepts
X-intercepts are: (5,0) and (-1,0)
Step 5: plot x-interceptsStep
6: find y-interceptF(0)= -5
Step 7: plot -5
Done :)
Step-by-step explanation:
An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x and 1 is labeled +. 1t ile is in the Factor 2 spot: it is labeled + x. 2 tiles are in the Product spot: 1 is labeled + x squared and 1 is labeled + x.
What is the product of x(x + 1)?
2x + x
x2 + 2x
2x2 + x
x2 + x
Answer:
x2 + x
Step-by-step explanation:
Edge 2021
A.)53
B.)37
C.)10
D.)21
Answer:
Hello! answer: x = 10
Step-by-step explanation:
10 × 5 = 50 50 + 3 = 53
10 × 3 = 30 30 + 7 = 37
53 + 37 = 80 therefore x = 10 hope that helps!
abc = 53
Answer:
Option A
Step-by-step explanation:
Hey there!
From the given figure;
Angle ABE = 90°.
And angle ABD = [(5x+3)° +(3x+7)°]
To find : angle ABC.
Now,
Angle ABD + Angle ABE = 180° [Being linear pair].
or, 90° + [(5x+3)° +(3x+7)°]= 180°
or, (5x+3)° +(3x+7)°= 90°
or, 8x + 10° = 90°
or, 8x = 80°
Therefore, X= 10°.
Now, Angle ABC = (5x + 3)°
= (5*10+3)°
= 53°
Therefore, the measure of angle ABC is 53°.
Hope it helps!
I need help on 11,12,13,14
plzzz help
Answer:
555758439878392837290987394108734293028978439423389744983972493875824933289739829379398938297643589328975393894829798398379483979459384987853958046799358079989358u97y8976859967809084709-087090
Step-by-step explanation:
686959589588497878398689840938075u6654545
What is the value of B?
Answer:
61°
Step-by-step explanation:
B = 180°-58°-61°
= 61°
In a survey, 105 students like Maths, 25 didn’t like Maths, 95 didn’t like Science, 83 like Maths but not Science. Find by drawing Venn-diagram. How many students like –
a. At least one subject
b. Exactly one subject
c. At most one subject
Answer:
a = 118
b = 96
c = 108
Step-by-step explanation:
105 + 25 = 130
130 students
83 = maths ONLY
105 - 83 - 22
22 = maths and science
95 didnt like science
130 - 95 = 35
35 liked science
35 - 22 = 13
13 people liked science ONLY
83 + 22 + 13 = 118
130 - 118 = 12
leaving 12 as the people who like neither
130 - 22 = 108 = people who like 0 or 1 subject (at most one subject)
I don’t know how to do this can someone help me please
Answer:
m∠1 = 147°
Step-by-step explanation:
(5x-2)° and ∠1 are supplementary to each other, which means they add up to 180°. However, we don't know the measure of ∠1. So, we need to solve for x to figure out angle (5x-2)°'s measure. Therefore:
(8x+1)°+(5x-2)°+90°=180°
8x+1+5x-2+90=180
13x+89=180
13x=91
x=7
This means the measure of angle (5x-2)° is 33°, making the measure of ∠1 equal to 147°.
A student inscribes a triangle within a semicircle. What is the measure of
MNO?
N
M
O A. 120°
B. 180°
C. 60°
O D. 90°
Answer:
90
Step-by-step explanation: I’m assuming I hoped it helped!!!
Race car driver traveled at an average speed of 120 miles per hour to finish a race in 2 hours. What is the length of the race?
Answer:
240
Step-by-step explanation:
If you are going 120 mph for 2 hours. You simply multiply the two values, giving 240 and the units for this is miles because in the multiplication, the units are m/h * h and this cancels out the hours and leaves just miles.
Answer:
240miles
Step-by-step explanation: 120 per hour X 2 hours = 240
Which relation is a function?
o {(4,0),(4,1),(4,2), (4,3)}
o {(7,4), (8,8), (10,8), (10,10)}
o {(-1,3), (-2,6),(0,0),(-2,-2)}
o {(2,2), (1,1),(0,0), (-2,-2)}
Given:
Different relations in the options.
To find:
The relation which is a function.
Solution:
A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.
In option A, [tex]y=0,1, 2, 3[/tex] for [tex]x=4[/tex]. So, this relation is not a function.
In option B, [tex]y=8, 10[/tex] for [tex]x=10[/tex]. So, this relation is not a function.
In option C, [tex]y=6, -2[/tex] for [tex]x=-2[/tex]. So, this relation is not a function.
In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.
Therefore, the correct option is D.
ZAED = 137°. What is AEB?
A А.
D
UJ
с
Answer:
AEB =43
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
AED + AEB = 180
137+AEB = 180
AEB = 180-137
AEB =43
Answer:
[tex]\text{B. }43^{\circ}[/tex]
Step-by-step explanation:
Angles [tex]\angle AED[/tex] and [tex]\angle AEB[/tex] are supplementary, meaning they add up to 180 degrees, because they form one side of a line.
Thus, we have:
[tex]\angle AED+\angle AEB=180,\\137+\angle AEB=180,\\\angle AEB=\boxed{43^{\circ}}[/tex]
Which equals cos A to the nearest hundredth?
0
9.5
11
B
O 0.86
O 1.58
O 0.55
O 0.63
Answer:
cosA ≈ 0.55
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{6}{11}[/tex] ≈ 0.55 ( to the nearest hundredth )
A soup can in the shape of a cylinder is 6 inches tall and has a label wrapped around it. The label does not cover the top and bottom of the can. If the radius of the can is 1.5 inches, how much paper was needed to make the label? Use 3.14 for Pi and round the answer to the nearest tenth.
Recall the formula L A = 2 pi r h.
70.7 square inches
56.5 square inches
37.7 square inches
28.3 square inches
Answer:
56.5 square inches
Step-by-step explanation:
Answer:
the person above me is right
Step-by-step explanation:
Please look at the image
Answer:
F=2E
ANGLE F+ANGLE E=120
2E. + E. =120
3E=120
E=40
solve for x with the image below
Answer:
Step-by-step explanation:
The formula for this particular problem is
[tex]x^2=2(2+16)[/tex] and
x² = 2(18) and
x² = 36 so
x = 6
Factor: 6x^3+4x^2+3x+2
Answer:
Step-by-step explanation:
6x^3+4x^2+3x+2
6x^3+3x+4x^2+2
3x(2x^2+1)+2(2x^2+1)
(3x+2)(2x^2+1)
A parabola can be drawn given a focus of (5,6) and a directrix of y = 2. Write the
equation of the parabola in any form.
Given:
Focus of the parabola = (5,6)
Directrix of the parabola is y=2.
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](x-h)^2=4p(y-k)[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is focus and [tex]y=k-p[/tex] is the directrix.
It is given that the focus of the parabola is at (5,6).
[tex](h,k+p)=(5,6)[/tex]
On comparing both sides, we get
[tex]h=5[/tex]
[tex]k+p=6[/tex] ...(ii)
Directrix of the parabola is y=2. So,
[tex]k-p=2[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=8[/tex]
[tex]k=\dfrac{8}{2}[/tex]
[tex]k=4[/tex]
Putting [tex]k=4[/tex] in (ii), we get
[tex]4+p=6[/tex]
[tex]p=6-4[/tex]
[tex]p=2[/tex]
Putting [tex]h=5,k=4, p=2[/tex] in (i), we get
[tex](x-5)^2=4(2)(y-4)[/tex]
[tex](x-5)^2=8(y-4)[/tex]
Therefore, the equation of the parabola is [tex](x-5)^2=8(y-4)[/tex].
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans, resulting in a crop yield of 40.5 bushels per acre.
To the nearest whole acre, how many acres were harvested?
232 acres
252 acres
285 acres
295 acres
Answer:
A. 232 acres
Step-by-step explanation:
Got it right
The number of acres of land that were harvested is given by A = 232 acres
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total amount of harvest of bushels be = 9,396 bushels
And , the amount of bushels per acre = 40.5
So , number of acres of land that were harvested is A = amount of harvest of bushels / amount of bushels per acre
On simplifying the equation , we get
The number of acres of land that were harvested is A = 9,396 / 40.5
The number of acres of land that were harvested is A = 232 acres
Hence , the number of acres is 232 acres
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
Please help me with this math problem
Answer:
100, 50, 25, 12.5, 6.25
Step-by-step explanation:
Since the number in the sequence is half of the previous value so
1st term: 100
2nd term: 50
3rd term: 25
4th term: 12.5
5th term: 6.25
I think
Determine whether each function is even, odd, or neither. g(x) = |x-3| neither g(x) = x + x² neither
Answer:
So, both the functions are neither even and nor odd.
Step-by-step explanation:
A function is even if g(x) = g(-x) and odd if g(x) = - g(x).
g(x) = |x-3|
g (-x ) = | -x -3 |
So, the function is neither even and nor odd.
g (x) = x + x²
g (- x) = (- x) + (- x) ² = - x + x²
So, the function is neither even and nor odd.
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes tomeet the 2011 goal of 30.2 mpg or better for their fleet of cars. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel economy goal
Answer:
There is sufficient evidence that fuel economy goal has been attained.
Step-by-step explanation:
The hypothesis :
H0 : μ < 30.2
H1 : μ ≥ 30.2
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 32.12 ; s = 4.83 ; n = 50
Test statistic :
(32.12 - 30.2) ÷ (4.83/√(50))
1.92 ÷ 0.6830651
T = 2.811
Using the Pvalue from test statistic calculator :
Since we used the sample standard deviation, we use the T distribution
df = n - 1 = 50 - 1 = 49
Pvalue(2.811, 49) ; one tailed = 0.00354
At α = 0.05
Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained
a rectangular prism has a length of 8 ft and a width of 30 ft and a height of 5 ft what is the surface area of the rectangular prism
Answer:
850
Step-by-step explanation:
L*W=
L*H=
H*W=
then add them up.
Answer:
[tex]860\; \rm ft^{2}[/tex].
Step-by-step explanation:
Each rectangular prism contains six sides.
In this rectangular prism, these sides are:
A set of two [tex]5\; \rm ft[/tex] by [tex]8\; \rm ft[/tex] rectangles. Area: [tex]5\; \rm ft\times 8\; \rm ft = 40\; \rm ft^{2}[/tex] each.A set of two [tex]5\; \rm ft[/tex] by [tex]30\; \rm ft[/tex] rectangles. Area: [tex]5\; \rm ft \times 30\; \rm ft = 150\; \rm ft^{2}[/tex] each.A set of two [tex]8 \; \rm ft[/tex] by [tex]30\;\rm ft[/tex] rectangles. Area: [tex]8\; \rm ft \times 30\; \rm ft = 240\; \rm ft^{2}[/tex] each.Take the sum of the areas of these six rectangles to find surface area of this rectangular prism:
[tex]\begin{aligned}& 2 \times 40\; \rm ft^{2} + 2 \times 150\; \rm ft^{2} + 2 \times 240\; \rm ft^{2} = 860\; \rm ft^{2}\end{aligned}[/tex].
How do i know when to use Sine, Cos or Tan? i struggle so much :c
Answer:
Sin = If you have hypotenuse and the opposite side
[tex]\frac{opp}{hyp}[/tex]
Cos = If you have hypotenuse and an adjacent(close by) side
[tex]\frac{adj}{hyp}[/tex]
Tan = If you have the adjacent and opposite sides
[tex]\frac{opp}{adj}[/tex]
Answer with step-by-step explanation:
Hi there! The Sine, Cosine, and Tangent functions have many different uses and there are various circumstances where you can use them. They are generally used for trigonometry.
Let's start with basic trigonometry for a right triangle. This is likely where these functions were introduced to you.
For any right triangle:
The sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle (o/h).
The cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle (a/h).
The tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).
Any angle's "opposite" side is defined by the side the angle creates or is opposite to the opening of the angle. The adjacent side of an angle is defined by the side that touches/forms the angle that is not the hypotenuse. The hypotenuse is always defined as the longest side of a right triangle.
Oftentimes, students used the phrase "SOH-CAH-TOA" to remember this. The abbreviation simply stands for "Sin-Opposite-Hypotenuse || Cos-Adjacent-Hypotenuse || Tan-Opposite-Adjacent". Regardless of how you remember it, it is crucial to note that this only works for a right triangle.
These are just the basics, but you'll work with sine, cosine, and tangent as you learn about the Unit Circle, Law of Sines, Law of Cosines, sinusoidal functions, the graphs they make, and more.