Answer:
Equation of the line is 3y = -5x + 8
Step-by-step explanation:
Slope:
[tex]{ \bf{m = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }}[/tex]
substitute:
[tex]{ \sf{m = \frac{1 - 6}{1 - ( - 2)} }} \\ { \sf{m = - \frac{5}{3} }}[/tex]
General equation of a line:
[tex]{ \boxed{ \pmb{y = mx + b}}}[/tex]
b is the y-intercept.
Consinder point (1, 1):
[tex]{ \sf{1 = ( - \frac{5}{3} \times 1) + b}} \\ { \sf{b = \frac{8}{3} }}[/tex]
Substitute:
[tex]{ \sf{y = - \frac{5}{3} x + \frac{8}{3} }} \\ \\ { \sf{3y = - 5x + 8}}[/tex]
the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
Answer: x= -189, y =252
Step-by-step explanation:
Let the first number be x and second number be y
so
x + y = 63
x = 63-y
now
1/9 of x + 1/6 of y = 21
x/9 + y/6 = 21
substituting x's value from equation i
(63-y)/9 + y/6 = 21
(378-6y+9y)/54 = 21
378+3y = 1134
3y = 1134-378
so, 3y = 756
so, y = 756/3
so, y = 252
now
x = 63-252
so, x = -189
3x-4y=12
5x-2y=-8
I need the steps and answer to this equation.
Answer:
(-4,-6)
Step-by-step explanation:
3x-4y=12
5x-2y=-8
multiply #2 by "-2"
3x-4y=12
-10x-4y=16
add two equations
-7 x = 28
x= -4
plug in -4 to equation (1 or 2)
-12 - 4y = 12
-4y = 24
y = -6
(-4,-6)
Answer:
x = -4.
y = -6.
Step-by-step explanation:
3x-4y=12
5x-2y=-8 Multiply this equation by 2:
10x-4y = -16 Subtract this from the first equation:
-7x = 28
x = -4
Substitute thin in equation 2:
3*(-4) - 4y = 12
-12 - 4y = 12
-4y = 24
y = -6.
Please help. TIMED! (15 pts)
Use the following data to calculate the curve of the best-fit.
Answer:
y = 0.4x^2 + 3.4x + 4
Step-by-step explanation:
The coordinates (-5,-3) work with this equation. Please give brainliest, I need 1 more to move on to the next tier.
Answer:
2nd option
Step-by-step explanation:
putting x = 1 in the 3rd option,
0.4+3.4+4 = 7.8
a^n = 5, 10, 15, 20, 25…
A1=
Answer:
a1 =5
Step-by-step explanation:
an = 5,10,15,20,25......
a1 is the first term
a1 =5
Someone plz round 6.675 to the nearest hundredth
Answer:
6.68
Step-by-step explanation:
To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.
6.675 rounded to the nearest hundredth = 6.68
Suppose 100 users of a social networking site are chosen for a sample, but
only 25 respond. What is this an example of?
A. Response bias
B. Nonselection bias
O C. Selection bias
D. Nonresponse bias
Answer:
i think its d
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Can someone please help me find 120% of 55
Answer:
Below
Step-by-step explanation:
It's 66
To find a percentage of a number just multiply it by 0.whatever the percentage if that makes sense...
In this case you would do 55 x 1.2 = 66
Hope this helps!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{120\% \ of\ 55}}\\\huge\boxed{= \dfrac{120}{100}\times55}\\\huge\boxed{= \dfrac{6}{5}\times\dfrac{55}{\bf 1}}\\\huge\boxed{= \dfrac{6\times55}{5\times 1}}\\\\\\\huge\boxed{6\times55=\bf 330}\\\boxed{5\times1=\bf 5}\\\\\\\huge\boxed{= \dfrac{330\div5}{5\div5}}\\\huge\boxed{=\dfrac{66}{1}}\\\huge\boxed{= \bf 66}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your ANSWER is: 66}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs
Answer:
a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 5 ^{2}[/tex]
a = b
[tex]2a^{2} = 5 ^{2}[/tex]
[tex]2a^{2} = 25\\[/tex]
[tex]a^{2} = \frac{25}{5}[/tex]
a = [tex]\frac{5}{\sqrt{5} }[/tex]
must rationalize...
a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]
Bro please help I will Mark you as brainlist
the first one is, yes by AA
the second is no you cannot
18. what is the equation of the line that passes through…
Answer:
Step-by-step explanation:
( - 3, - 1 )
m = [tex]\frac{2}{5}[/tex]
y - ( - 1 ) = [tex]\frac{2}{5}[/tex] ( x - ( - 3 ))
y + 1 = [tex]\frac{2}{5}[/tex] x + [tex]\frac{6}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{1}{5}[/tex]
which equation shows 2.4 as the constant of proportionality?
Answer:
c a = 2.4b
Step-by-step explanation:
y = kx is the form of the equation where k is the constant of proportionality
y and x can be any letters
Replacing y and x with a and b and k with 2.4
a = 2.4b
In the given figure, identify a pair of perpendicular lines.
A) I and p
B) o and p
C) m and n
D) m and o
i’ll give brainliest
HELP PLSSSSSSSSS i really need it right now
Step-by-step explanation:
A1= 3.5×9=31.5
A2=2×2=4
A3=(1/2) × 5×2=5
A4= (1/2)×2×2=2
At=A1+A2+A3+A4
At= 31.5+4+5+2
At=42.5
Yesterday the temperature was -7°C. Today it is 8°C. In degrees Celsius, what is the change in
temperature?
Answer:
cold to hot hope it helps
Will Mark Brainlest helppp plss
Answer:
the required value of c is [ -11 -1
2 5]
Math problem. If answered correct will give brainliest
Please answer :)
Answer:
Step-by-step explanation:
45n = (9 x 25) + 4 + (2x4)
45n = 225 + 4 + 8
45n/45 = 237/45
n = 5.26666...7
exactly 5.26666...7 buses would be needed.
realistically 6 buses are needed, as you cannot have part of a bus operating like a normal one
the exact answer can be classified as a rational number as it can represent a fraction.
a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?
18 people is 25% less people so will take 25% longer
25% of 15 is 3.75
3.75+ 15 = 18.75 days ?
the prouduct of any two irrational number is
Answer:
mostly rational but sometimes irrational
if the population of an anthill doubles every 10 days and there are currently 20 ants living in the ant hill, what will the ant hill population be in 20 days?
square of 2x+3y.Please help me
Answer:
(2x+3y)^2
= (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Answer:
4x^2 12xy +9y^2
Step-by-step explanation:
(2x+3y)^2
(2x+3y)(2x+3y)
FOIL
4x^2 + 6xy+6xy + 9y^2
4x^2 12xy +9y^2
Place in order in from largest to smallest:
0.204, 0.04, 0.24, 0.42, 0.024
Answer:
0.42, 0.24, 0.204, 0.04, 0.024
Step-by-step explanation:
Х
32°
X =
degrees.
please
Answer:
58
Step-by-step explanation:
90+32= 122
180-122=58
Answer:
X = 122°
Step-by-step explanation:
A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.
32° + 90° = 122°
180° - 122° = 58°
The line is 180°.
180° - 58° = 122°
So x - 122°
Sorry if this was hard to understand but I hope I helped :)
convert six yard to feet
Answer:
18 feet
Step-by-step explanation:
To convert : multiply the length value by 3
=> 6 x 3
=> 18 feet
Simultaneous equation 2x-Y= -1 x-2y=4
Answer:
x + y = -5
Step-by-step explanation:
2x - x - y + 2y = -1 - 4
x + y = -5
TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
A circle has a radius of 11m . Find the radian measure of the central angle that intercepts an arc of length 6 m .
Answer:
Step-by-step explanation:
θ=l/r
θ=6/11 radians
≈0.555... radians
What is the simple interest at the end of two year for a loan of rupees 20000 at 10% intrest annum
Answer:
4000 rupees
Step-by-step explanation:
20000×10×2/100
= 4000 rupees
Which is the graph of y = [x]-2?
PLEASE HELP TIMED PLEASE
Answer:
3rd graph
Step-by-step explanation:
The coldest place is in Utah is Middlesink,near Logan.One day the temperature there was -17 degrees.You drive from Middlesink to salt lake where the temperature is 30 degrees.What is the change in temperature?
Explain.
Answer:
47 degrees
Step-by-step explanation:
The number system goes from negative numbers, to zero, to positive numbers. To get to zero from a negative number, you add the positive version of your number to get to zero. In this case we have to add 17 to get to zero. So our answer is 30+17. Because once we get to zero, we know there is 30 degress to get to the temp in Middlesink. So it is a 47 degree change.
G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?
Answer: f(x-2) which is choice A.
The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.
============================================================
Explanation:
For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.
The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.
Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.
