Answer:
parallel
Step-by-step explanation:
Let's rewrite each equation into the slope-intercept form so that we can easily identify the slope of each line.
slope-intercept form: y= mx +c, where m is the gradient and c is the y-intercept.
9x +3y= 12
3x +y= 4 (÷3 throughout)
y= -3x +4 -----(1)
24x +8y= 35
8y= -24x +35 (-24x on both sides)
[tex]y = - 3x+ 4 \frac{3}{8} [/tex] -----(2)
Thus, the slopes of the lines are both -3. Since both lines have the same gradient, they are parallel to each other.
Notes:
• parallel lines have the same gradient
• the product of the gradients of two perpendicular lines is -1
• gradient and slope has the same meaning and can thus be used interchangeably
Every day, Chloe practices soccer and flute. Each day, she practices soccer for 12 hour. If after 5 days she practiced both soccer and flute for a total of 15 hours, how many hours per day did Chloe practice flute?
Answers:
1h 1.5h 2h 2.5h
geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!
HELP ASAP!!!
THANK YOU SO MUCH:)))
Answer:
56 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 (14) (8)
A = 56 cm^2
Without using logarithm tables, find value of x in the equation:
log x³+ log5x =5log2-log⅖
Answer:
[tex]x =2[/tex]
Step-by-step explanation:
Given
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Required
Find x
We have:
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Apply exponent rule
[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]
[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]
Apply product and quotient rules of logarithm
[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]
[tex]\log (5x^4) =\log(80)[/tex]
Cancel log on both sides
[tex]5x^4 = 80[/tex]
Divide by 5
[tex]x^4 = 16[/tex]
Take 4th roots of both sides
[tex]x =2[/tex]
Please help me with my Geometry.
Answer:
it should be 6
Step-by-step explanation:
I could be wrong
The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood
Answer:
The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]
[2] (c) Another bag contains 15 red beads and 10 yellow beads. Ariana picks a bead at random, records its colour and replaces it in the bag. She then picks another bead at random. (1) Find the probability that she picks two red beads. [2] (ii) Find the probability that she does not pick two red beads. (0)
Answer:
(c)
Total number of beads:
15 + 10 = 25(i)
Probability of 2 red:
P(RR) = 15/25*15/25 = 9/25(ii)
Probability of no 2 red:
P(R'R') = 1 - 9/25 = 16/25
ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Another customer buys 14 used books and 2 new books for $124. How much
is one used book (u), and one new book (n)?
Answer:
n=6 u=28/3
Step-by-step explanation:
system of equations
The number of used books sold will be 7 and that of the new book will be 9.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given
Number of used books = u
Number of new books = v
In the first case;
12u + 4n = 136
In the second case;
28u + 4n = 248
By both equations,
u = 7 and n = 9
So the number of used books is 7 and the new is 9.
For more about the equation
brainly.com/question/2263981
#SPJ2
what is the total time it will take the snowball to melt completely
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320
8. Solve the following triangle for all missing sides and angles.
Part I: Find the measure of angle B. (1 point)
Part II: Use the law of sines to find the length of side a. (2 points)
Part III: Use any method to find the length of side c. (2 points)
Answer:
Step-by-step explanation:
Josh and Alex went to an ice cream van.
Josh bought an ice-lolly for £1.50 and Alex’s ice cream costs £2.00.
How much change would they get from £5.00?
£1.50
£2.50
£3.00
Answer:
$1.50
Step-by-step explanation:
The change would be $1.50 because $5.00 - $3.50 = $1.50
Someone help on these
Problem 5
Start with the 30-60-90 triangle template
If you divide all values in that template by 2, then you'll get the diagram shown below.
Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2
So that diagram shows that cos(30) = sqrt(3)/2
Answer: Choice A) 30 degrees===========================================================
Problem 6
Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive
tan = sin/cos = negative/negative = positive
So tangent is positive in Q3
Answer: Choice C) tangent===========================================================
Problem 7
Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.
So,
cos(170) = cos(-170)
Then we'll find a coterminal angle of -170 which involves adding on 360
-170+360 = 190
The angles -170 and 190 point in the exact same direction
This then means cos(170) = cos(-170) = cos(190)
Or in short, cos(170) = cos(190)
Answer: Choice A) cos(190)2-6=? need help please
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Answer:
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What's 0. (6) as a percentage?
Answer:
Write as a percent.0.6 = 0.60 = 60%
Answer:
Its 60 percentage
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
The entire group your sample is attempting to describe is known as the ____________.
A. population
B. subgroup
C. census
D. organization
Answer:
Population
Step-by-step explanation:
A.
A population is the entire group that is being studied while a sample is a subset of the population that is being studied.
Courtney needs to wrap this gift box, which is 412 inches wide, 6 inches long, and 3 inches tall. What is the surface area of the box?
can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3
Answer:
Inverse of f(x) is ³√2-x
Step-by-step explanation:
let the inverse of f(x) be m :
[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]
make x the subject:
[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]
substitute x for m:
[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]
Answer:
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
Step-by-step explanation:
One is asked to find the inverse of the following function:
[tex]f(x)=2-x^3[/tex]
Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,
[tex]f(x)=2-x^3[/tex]
[tex]f(x)-2=-x^3[/tex]
[tex]2-f(x)=x^3[/tex]
[tex]\sqrt[3]{2-f(x)}=x[/tex]
Put in inverse function notation,
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
The slope of the line below is -0.25. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
Please teach me these question step by step. Thank you
Answer:
a. 499
Step-by-step explanation:
a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.
the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.
If sinө= 7/25 , find the values of cosө and tanө
Step-by-step explanation:
sinx = p/h = 7/25
so
p = 7
h = 25
now
h^2 = p^2 + b^2
25^2 = 7^2 + b^2
or, 625 = 49 + b^2
or, 625-49 = b^2
or, 576 = b^2
or, b = [tex]\sqrt{576}[/tex]
so, b = 24
so
cosx = b/h = 24/25
tanx = p/b = 7/24
Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?
Answer:
the new surface Will be 1/4 pf the old surface
Step-by-step explanation:
because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.
so 294:4 Is 73.5
excuse me for my bad English but I'm italian
-7 - -3 HELP PLEASE!!!!!!!!!!!!!!!
What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7
Answer:
C. -7
Step-by-step explanation:
See the picture for steps :)
on the number line, which of the following numbers below can be found on the right of 2.26??
A.2.30
B.-2.25
C.2.25
D.1.26
Answer:
2.25
Step-by-step explanation:
The lower number will always be on the right side unless its negative numbers , So the lower number is 2.25 , Why it isn't 1.26 is because its much far from 2.26 and so cannot be counted . Thanks
Find the x-intercept or the
y-intercept of 8x+2y=6.
a. (0,3)
b. (3,0)
c. (-3,0)
d. (0,-3)
0,3 is the y-intercept (wich is always at x=0)
see screenshot for illustration.
you meant y-intercept, right?
2. Distribute the -1
(6h + 4) - (2h - 3)
Answer:
6h+4 -2h +3
Step-by-step explanation:
(6h + 4) - (2h - 3)
Distribute
6h+4 -2h +3
Find the value of x to the nearest tenth. *Will Give Brainliest*
Answer: x = 8.77
Step-by-step explanation:
Using Pythagoreus Theorem
In the smaller rectangle
4²+5² = h²
41 = h²
h = √41
Therefore two sides of the rectangle will √41
No using pythagoreus theorem in the bigger triangle
6² + (√41)² = x²
x² = 36+41
x² = 77
x = √77
x = 8.7749643874
When rounded off to nearest tenth the hundreth digit is in 0-5 range
x = 8.77
Please click thanks and mark brainliest if you like
Answer:
x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The _____________ may be the average of 2 values in a data set.
A. range
B. interquartile range
C. mode
D. median
Answer:
as per my nowledge ans wud be b
as A means difference of highest and lowest
C means value appearing frequently
D means middle number or ascending or descending sequence
beainliest plz
Answer:
b
i dont want brainlist
Step-by-step explanation:
if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth angle?
Answer:
155 degrees
Step-by-step explanation:
Hi there!
The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:
360-65-95-45
= 155
Therefore, the measure of the fourth angle is 155 degrees.
I hope this helps!
Answer:
155 degrees
Step-by-step explanation:
A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle
360=65+95+45+x
360=205+x
x=155