Answer:
Last option is the correct choice.
Step-by-step explanation:
Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]
Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]
Lines A and B intersect, because their slopes have no relationship.
Best Regards!
Lines A and Line B intersect, because their slopes have no relationship.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
Line A passes through the points (-8, 5) and (-5, 4)
Let
x₁ = -8, y₁ = 5
x₂ = -5, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m₁ = (4 - 5)/(-5 - (-8))
m₁ = (4 - 5)/(-5 + 8)
m₁ = -1/3
So, the slope of the line A is -1/3
Line B passes through the points (0, 1) and (4, -1).
m₂ = (-1 - 1)/(4 - 0)
m₂ = (-2)/(4)
m₂ = -1/2
So, the slope of the line B is -1/2
Hence, Lines A and Line B intersect, because their slopes have no relationship.
Learn more about Slope of Line here:
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What is the measure of arc ADC if the measure of arc BC is 52 degrees
Answer:
bc 52dndnxnnxxjxmsowkdkdodjdjdidj
For which equations is 8 a solution? Check all that apply.
Ox+6=2
X+2 - 10
ox-4-4
Ox-2-10
0 2x=4
3x - 24
OŠ - 16
Answer:
3x-24
Step-by-step explanation:
because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8
A study of the effect of seatbelt use in head-on car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less that a 0.0001 chance of getting these results. The probability shows that the sample results ____(could or could not) have occurred by chance. It appears that there _______ (is or is not) sufficient evidence to conclude that seatbelts do have an effect on survival rate.
Answer:
The correct option are;
1) Could not
2) Is
Step-by-step explanation:
The parameters given are;
The survival rate of drivers using seat-belt = 67%
The survival rate of drivers not using seat-belt = 41.5%
The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001
Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;
The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.
Edward has 30 sweets.
The ratio of red sweets to yellow sweets is 2:3
How many red sweets does Ed have? *
Answer:
20 red sweets
Step-by-step explanation:
do two thirds of 30 and the part that cane out is the red sweets
Answer:
12
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 = 5 parts
Divide the number of sweets by 5 to find the value of one part of the ratio
30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus
2 × 6 = 12 ← number of red sweets
What is the y intercept of y=-3x-2? Step by step explanation please help me
Answer:
Step-by-step explanation:
The slope is 3 and the y-intercept is 2 or (0, 2)
Answer:
The y-intercept of the equation is -2.
Step-by-step explanation:
This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.
2x+y-5= Please help
Any answers plzzzzzz
Answer:
A = 3[tex]r^{2}[/tex]
Step-by-step explanation:
r = [tex]\sqrt{\frac{A}{3} }[/tex]
r = [tex](\frac{A}{3})^{1/2}[/tex]
square both sides:
[tex]r^{2}[/tex] = [tex]\frac{A}{3}[/tex]
multiply 3 to both sides:
3[tex]r^{2}[/tex] = A
Answer:
[tex] a= 3r {}^{2} [/tex]
[tex] \sqrt{ \frac{a}{3} } = r \\ \frac{1}{3a} = r {}^{2} \\ \frac{1}{3a} \frac{1}{3} = r {}^{2} \frac{1}{3} \\ a = 3r {}^{2} [/tex]
Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How many triangles can you construct using these measurements?
Answer:
2
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, and sin(A) < 5/6, so there are two possible solutions.
The law of sines tells you that angle C will satisfy ...
sin(C)/ab = sin(A)/bc
sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5
The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:
C₁ = arcsin(3/5) = 36.87°
C₂ = 180° -arcsin(3/5) = 143.13°
You can construct two triangles with the given measurements.
__
See the attachments for drawings of them.
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
The standard equation of a circle is:
(x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius of the circle.
Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:
[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]
Hence the center of the circle is at (2.5, -1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answer:
9.31?
Step-by-step explanation:
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
What is the value of x?
Answer:
x = 155
Step-by-step explanation:
155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel
x = 155
Factor x^3 + 2x² + x completely.
Answer:
x(x+2)^2
Step-by-step explanation:
x^-3 +2x^2 +x
Taking x as common
x(x^2+2x+1)
x[(x)^2+2(x)(1)+(1)^2]
x(x+2)^2
I hope it will help you
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
answer B. -5
Step-by-step explanation:
hello
fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5
hope this helps
Answer: It is B. -5
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
How do you tell the difference between a inclusive data set probability and a exclusive data set probability?
Answer:
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
Step-by-step explanation:
Please help urgently!
Answer:
[tex]a=-6\quad and \quad b=8[/tex]
Step-by-step explanation:
[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]
By comparing the last expression with [tex]a+b\sqrt{2}[/tex], we get:
[tex]a=-6\quad and \quad b=8[/tex]
Best Regards!
A certain arithmetic sequence has this explicit formula for the nth term:
an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +__
What number belongs in the blank space in the recursive formula?
Answer:
4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 11 +(n - 1)4 , then
d = 4
The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4
Answer:
The answer is 4
Step-by-step explanation:
what is the area of this title ?
Answer:
12 in^2
Step-by-step explanation:
A = l*w
= 2in * 6 in
= 12 in^2
Answer:
Area = 12 in.²
Step-by-step explanation:
Area = length × width
Where w = 2 and L = 6
So,
Area = 2 × 6
Area = 12 in.²
A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour
Answer:
A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.
Step-by-step explanation:
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's is 5 and her father is 30
Step-by-step explanation:
x+5+6x+5=2x+6x+5
x+6x-2x-6x=5-5-5
-x =-5
x =5 Meena
6*5
=30 Her father's age
Have a good day and stay safe!
In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?
Answer:
112°
Step-by-step explanation:
∠OLM= 2x, ∠PON= x
∠LOK= x
∠OKL= 180-124= 56
∠OLM= ∠OKL+∠LOK
x+56°= 2x
x= 56°
2x= 112°
What is f(x) + f(x) + f(x)?
Answer:
3fx
Step-by-step explanation:
f(x)+f(x)+f(x)
remove parenthesis: (a)=a
add similar elements: fx+fx+fx
=3fx
Answer: for edge
3f(x)
3x2
12
La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576
Answer: d) 576
Step-by-step explanation:
Datos:
Altura: h Base (b): 4h (cuatro veces su altura [h])El perímetro de un rectángulo es igual a la suma de todos sus lados:
Perímetro = 2h+2b
Reemplazando b=4h
120 =2h+ 2(4h)
Despejando h:
120 = 2h+8h
120 =10h
120/10=h
12 cm=h
Base = 4h =4(12) =48 cm
Área de un rectángulo (A)= base x altura
A = 48 x 12 = 576 cm2
Please help there’s a picture
60°
60
Y=?
Answer:
Pretty sure it's 90 degrees
Step-by-step explanation:
What single decimal multiplier would you use to increase by 4% followed by a 3% increase
Answer:
1.0712
Step-by-step explanation:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
hope this will help you, have a nice day!
Can someone please help me I’m stuck
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
*Brainliest* What is the domain of the function shown in thr table?
Answer:
Domain is { 3,5,7,9}
Step-by-step explanation:
The domain is the input values
Domain is { 3,5,7,9}
Answer:
Domain - {3, 5, 7, 9} (B)
Step-by-step explanation:
Domain - imput values, X values
Work out m and c for the line: y = 8 x
Answer:
m = 8 and c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x ← is in slope- intercept form, that is y = 8x + 0
with m = 8 and c = 0
Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces
Answer:1 ounce
Step-by-step explanation: