9514 1404 393
Answer:
11.4
Step-by-step explanation:
Put the given coordinates in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130
d ≈ 11.4 . . . . units
The distance between the two points is about 11.4 units.
a. -3/2
b. 0
c. 3/2
d. DNE
Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45
Answer:
Lets choose y
-8y=3x-24y=-3/8x+3Plug in
3x+15/8x-15=45 39/8x= 60 x=480/39Answer:
I'll choose 'x' variable first to eliminate because -
-3 (coefficient of 'x' in Eqn.1) & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).Step-by-step explanation:
Eqn.1 → -3x - 8y = -24
Eqn.2 → 3x - 5y = 45
If we'll add both the equations , then '3x' would be getting cancelled first.
⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]
⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]
⇒ [tex]-13y = 21[/tex]
⇒ [tex]y = \frac{-21}{13}[/tex]
Putting the value of y in eqn.2 ,
⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]
⇒ [tex]3x + \frac{105}{13} = 45[/tex]
⇒ [tex]3x = 45 - \frac{105}{13}[/tex]
⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]
⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]
Reducing the fraction gives ,
⇒ [tex]x = \frac{160}{13}[/tex]
How much is 331 ft in meters?
it would be 100.889, darling. hope this helps. <3
4 × 7/8 = ? 4 × 6/8 =?
Answer:
4 × 7/8 = 3.5
Step-by-step explanation:
4 × 6/8 = 3
Answer:
3.5 and 3
Step-by-step explanation:
solve each of the following systems, if possible. indicate whether the system has a unique solution, infinitely many solutions, or no solution.
a. 2x + 10y = 9
3x + 15y = 13
b. 2x + 8y = 5
3x + 12y = 7.5
c. y = 3-x
d. 5x -8y = -1
-5/2 x + 4y = 1/2
Answer:
(a) No solution
(b) Infinitely many solution
(c) No solution
(d) Infinitely many solution
Step-by-step explanation:
Solving (a):
[tex]2x + 10y = 9[/tex] --- (1)
[tex]3x + 15y = 13[/tex] --- (2)
Multiply (1) by 1.5
1.5 * [[tex]2x + 10y = 9[/tex]]
[tex]3x + 15y = 13.5[/tex] --- (3)
Subtract 2 and 3
[tex]3x - 3x + 15y - 15y = 13.5 - 13[/tex]
[tex]0 = 0.5[/tex]
The above is false; Hence, the system has no solution
Solving (b):
[tex]2x + 8y = 5[/tex] --- (1)
[tex]3x + 12y = 7.5[/tex] -- (2)
Multiply 1 by 1.5
1.5 * [[tex]2x + 8y = 5[/tex]]
[tex]3x + 12y = 7.5[/tex]
Subtract 2 and 3
[tex]3x - 3x + 12y - 12y = 7.5 - 7.5[/tex]
[tex]0 = 0[/tex]
The above implies that the system has infinitely many solutions
Solving (c):
[tex]y = 3 - x[/tex]
A second equation is required to solve for (c)
Solving (d):
[tex]5x - 8y = -1[/tex] --- (1)
[tex]-\frac{5}{2}x+ 4y = \frac{1}{2}[/tex] --- (2)
Multiply (2) by 2
[tex]-5x + 8y = 1[/tex] --- (3)
Add 1 and 3
[tex]5x - 5x -8y + 8y = -1 + 1[/tex]
[tex]0 = 0[/tex]
The above implies that the system has infinitely many solutions
what percent of 160 is 56?
Answer:
35%
Step-by-step explanation:
[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]
Please help me ITS DUE PLEASE
Answer:
Step-by-step explanation:
its A
Answer:
Answer:
Step By Step:
Letter:A
10
1 point
Solve the system of linear equations. Check your solution.
2x+y = 3
X-y= 3
Solution type your answer...
type your answer...
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x + y = 3
x - y = 3
Adding the 2 equations eliminates y:
3x = 6
x = 2.
Substitute for x in the first equation:
2(2) + y = 3
y = 3 - 4
y = -1.
Check the results by substitution in equation 2:
2 - (-1)
= 2 + 1 = 3 .
Checks OK.
Solve 7x2 + 1 = 29.
A) x = +1.5
B) x= +1
C) x = +2.5
D) x = +2
Answer:
the answer is D.
Step-by-step explanation:
larry runs his heater when the temperature, t is no more than 70f
A- t<70
B- t>70
C t ≤ 70
D t ≥ 70
Answer:
its d i think bc i had that on my quizz
Step-by-step explanation:
It says: a water tank of a pyramid has a rectangular base with dimensions of 10 feet by 15‘ the height of the Rectangular pyramid is 12 feet water fills half of the volume of water tank how many more cubic feet of water is needed to finish the water tank: PLEASE HELP THIS GONNA HELP ME PASS TO THE NEXT GRADE
Answer:
600
Step-by-step explanation:
V=(LxWxH)/3
Multiply 10x15x12/3 and get 600
Which measurement could be a surface area measure?
24 km2
18 m3
63 oz.
12 mm
I need help can someone help
Answer:
yes i can but will have to get back to you in about half a hour just doing maths atm with the teacher
Step-by-step explanation:
The answer to the above question
Answer:
Step-by-step explanation:
Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have
[tex]2^2=\sqrt{2}^2+b^2[/tex] and
[tex]4=2+b^2[/tex] so
[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]
Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so
[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then
[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]
Line m contains the points G(-2,3) and H (5,1).
What is the slope of a line perpendicular to line m?
Answer:
3.5
Step-by-step explanation:
Given points are ,
G(-2,3) H (5,1)Firstly find the slope of the line passing through these two points . Therefore ,
=> m = y₁ - y₂ / x₁ - x ₂
=> m = ( 3 - 1)/(-2-5)
=> m = -2/7
The slope of line perpendicular to it will be negative of reciprocal of the slope . Let m' be the slope of perpendicular line .=> m' = -1/m
=> m' = -1 ÷ -2/7
=> m' = -1 × -7/2
=> m' = 7/2 = 3.5
Hence the slope of the line perpendicular to the given line is 3.5 .Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answer:
their graphed
Step-by-step explanation:
Tala drives 8 miles to work each day. how many miles does she drive to work in 83 days?
Answer:
664 miles by only going to work not coming back.
Step-by-step explanation:
8xp is less than 8 but greater than 0
Answer: 0<8xp<8
Step-by-step explanation:
Answer:
8xp < 8 > 0
Step-by-step explanation:
Is your algebra expression i'm pretty sure.
Solve for <2.
499
62 = [?]
44/42
Answer:
Solution given'
<2+90+49=180°[sum of interior angle of a triangle]
<2=180-139
<2=41°
What is the product
2 1/3 times 3 1/4
Answer:
[tex]7\frac{7}{12}[/tex]
Step-by-step explanation:
write the coefficient of a in 7 a
Given:
The term is 7a.
To find:
The coefficient of "a" in the given term "7a".
Solution:
In the product of a number and a variable, the number is called the coefficient of that variable.
In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".
Therefore, the coefficient of "a" in the given term "7a" is 7.
Given
f(x) = 2x - 1 and g(x) = 4x + 6,
which operation completes the statement?
f(x) ___ g(x) = 8x^2 + 8x - 6
i need to determine what math sign i have to use on the ____ the options are *,+,-, and the divide symbol
this is operations on functions!!!
f(x) times g(x) = 8x^2+8x-6
(2x-1) times (4x+6) = 8x^2+8x-6
====================================================
Explanation:
The functions f(x) and g(x) are linear functions. The result of f(x) ___ g(x) is some quadratic function.
It's very likely that the answer is a multiplication sign because of the general template of
(linear)*(linear) = (quadratic)
For example, x*3x = 3x^2.
Let's see if the two functions multiply out to 8x^2+8x-6 or not.
-----------------------
f(x) * g(x) = ( f(x) ) * ( g(x) )
f(x) * g(x) = ( 2x-1 ) * ( 4x+6 )
f(x) * g(x) = y * ( 4x+6 ) ......... let y = 2x-1
f(x) * g(x) = 4xy + 6y ......... distribute
f(x) * g(x) = 4x( y ) + 6( y )
f(x) * g(x) = 4x( 2x-1 ) + 6( 2x-1 ) .... replace y with 2x-1
f(x) * g(x) = 8x^2-4x + 12x-6 .... distribute twice more
f(x) * g(x) = 8x^2+8x-6
We end up getting the correct result. So this confirms that a multiplication sign is needed to fill in the blank.
Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?
Answer:23.96
Step-by-step explanation:
100-90=10%
10/100=0.10
0.10(8550)=855
100-50=50%
50/100=0.50
0.50(782)=391
855+391=1246
1246/52=23.96
NEED HELP ON MATH TEST ASAP!! Will give BRAINLY
Must show work on all problems!!
ANSWER THIS ASAP NO FILE AT ATT!!
The answer would be A
Answer:
It would be A
Step-by-step explanation:
Once again the shape does not rotate or flip it stays the same but moves on the coordinate plane.
Find the reference angle! I NEED HELP ASAP PLS!
Answer:
60°
Step-by-step explanation:
360 - 300 = 60
Hope this helps!
Tina has 8 pounds of flour to bake cookies. She uses 1/2 of a cup of flour to make each batch. How many batches of cookies can she make?
Group of answer choices
16
8
1/16
9
I need the answer fast
Answer:
84
Step-by-step explanation:
Answer:
it would either be 2 or 26
Step-by-step explanation:
pls mark braainlieszt
Please help me with this problem
ln -3x + ln 4 = ln 58
9514 1404 393
Answer:
x = -29/6 = -4 5/6
Step-by-step explanation:
The equation simplifies to ...
ln(-3x·4) = ln(58)
Taking antilogs, the equation becomes ...
(-3x)(4) = 58
Dividing by -12 shows us the value of x.
x = -58/12
x = -29/6 = -4 5/6
__
The applicable rule of logarithms is ...
ln(ab) = ln(a) +ln(b)
Answer:
7x - 4x = 21
3x = 21
x = 21÷3
x = 7
15 POINTS. EZ QUESTION.
The pentagon below has been reduced by a scale of 0.5.
A pentagon with an area of 120 inches squared.
What is the area of the reduced pentagon?
30 in.²
60 in.²
90 in.²
120 in.²
Answer:60 inches squared
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
bc i got it right on edg test/ exam 2021