Answer:
[tex]y = - \frac{5}{3} x + 12[/tex]
Step-by-step explanation:
First, rewrite the given equation in the form of y=mx+c.
m is the gradient while c is the y-intercept.
3x-5y=8
5y= 3x -8
[tex]y = \frac{3}{5} x - \frac{8}{5} [/tex]
Thus, the gradient of the given equation is ⅗.
The product of the gradients of perpendicular lines is -1.
(gradient of line)(⅗) = -1
gradient of line= -1 ÷⅗
gradient of line= [tex] - \frac{5}{3} [/tex]
[tex]y = - \frac{5}{3} x + c[/tex]
To find the value of c, substitute a coordinate.
When x=3, y=7,
[tex]7 = - \frac{5}{3} (3) + c[/tex]
7= -5 +c
c= 7+5
c= 12
Hence, the equation of the line is [tex]y = - \frac{5}{3} x + 12[/tex].
-12=x/13 what is x? I need help
Answer:
x=-156
Step-by-step explanation:
[tex] - 12 = \frac{x}{13 } \\ cross \: multiply \\ - 12 \times 13 = x \\ multiply \: \\ - 156 = x \\ x = - 156[/tex]
Select all the correct answers.
will mark brainliest for correct answer
pls take ur time
Answer:
I think it's B, C, E
Answer:
true b c e
false a d f
Step-by-step explanation:
no explanation
What the extreme point on the parabola
Answer:
Directrix
Step-by-step explanation:
Evaluate
b−(−18)+cb-\left(-\dfrac{1}{8}\right)+c
b−(−
8
1
)+c
b, minus, left parenthesis, minus, start fraction, 1, divided by, 8, end fraction, right parenthesis, plus, c
where
b=2b = 2
b=2
b, equals, 2
and
c=−74c = -\dfrac{7}{4}
c=−
4
7
c, equals, minus, start fraction, 7, divided by, 4, end fraction
.
Answer:
3/8
Step-by-step explanation:
We want to evaluate
b - (-1/8) + c
where b = 2 and c = -7/4
First, replace b and c values into the expression
2 - (-1/8) + (-7/4)
Then, eliminate the parenthesis
2 + 1/8 - 7/4
Finally, express all terms as fractions with the same denominator, and perform the addition and subtraction
2*8/8 + 1/8 - 7/4 * 2/2
16/8 + 1/8 - 14/8
(16 + 1 - 14)/8
3/8
Answer:
the answer is 3/8
Step-by-step explanation:
A 25ft ladder is leaning up against a
wall. If the ladder makes a 63° with
the ground, how far is the base of the
ladder from the wall?
Step-by-step explanation:
A
C H
Cos(23)×25 = 23.0126
The distance of the base of the ladder from the wall is 23.01 ft
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are solving from how far the base of the ladder from the wall and we are representing it as x.
Based on the type of triangle, we are going to use Trigonometry ratios.
We are going to use the cos ratio.
Let opposite be x, base be 25 and theta (angle) be 23.
Cos(23) = x/ 25
Make x the subject;
x = Cos(23)×25
x = 23.0126 ft
Therefore the distance is 23.01 ft
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Find the circumference if the diameter is 25 meters
Group of answer choices
5
50
15.7
78.5
Answer:
78.5
Step-by-step explanation:
the formula is C = 2π r
we know the diameter is 24
half of the diameter is radius
24 divided by 2 is 12
substitute what we know
C=2 times 3.14 times 12= 75.36
The closest option is 78.5
The answer is not completely the same because pi is not always exact
Multiply
[tex]\frac{\sqrt{2} }{6}cis(\frac{3\pi }{5} )[/tex]
by
[tex]\frac{\sqrt{6} }{4} cis(\frac{2\pi }{3} )[/tex]
If 12% is always withheld from dan’s wages, how much would be taken out if he earned $220
Answer:
$26.40
Step-by-step explanation:
multiply 220 by 0.12 to get 12 percent of the total amount
what is the range of possible sizes of side x 3.2 5.5
Answer:
i know one can be nine
Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The number of positive solutions to this equation is _______ . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _______ .
Answer:
-1 ± 3i√6
Step-by-step explanation:
Please write this quadratic equation as follows: x^2 + 2x + 7 = 21. The " ^ " indicates exponentiation.
The coefficients of this quadratic are 1, 2, 7.
Thus, the "discriminant" b^2 - 4(a)(c) is (2)^2 - 4(1)(7), or 4 - 28, or -24.
Because the discriminant is negative, this quadratic has two different complex roots:
-b ± √[ discriminant ] -2 ± 2i√6
x = --------------------------------- = ----------------- = -1 ± 3i√6
2a 2
What are the coordinates closest to the park?
A) -4,-4
B) -4,6
C). 4,4
D) 4,-6
Answer:
D) 4,-6 is the closest to the park
3) The sum of two numbers is 20. Their
difference is -2. What are the two numbers?
Answer: 9, 11 (or for the picture 48 and 52)
Step-by-step explanation:
The sum of two numbers (x, y) is 20;
x+y=20
One is 2 greater than than the other;
y=x+2
Now, we can put that in for y;
x+(x+2)=20
And solve;
2x+2=20
2x=18
x=9
Now, substitute in the value of x into the second equation;
y=9+2
And we get our answer.
y=11
My explanations are bad :(
CAN SOMEONE HELP ME WITH THESE PLEASE ASAP
please help asappp!!! i need serious help with this pleaseee. whoever finishes it first and completes it and show how you got it will get brainliest.
Answer:
Think of even square roots close to 27: the closest is 25 which has a square root of 5. Now think of the number with an even square root after 25: 36 which has a square root of 6. Since 27 is between 25 and 36, the square root of 27 would be between 5 and 6.
Please please help me it’s due at 9:00
Answer:
If lines are tangent to the circle that means that they are equal lengths.
14x - 7 = 7x +49
14x - 7x = 49 + 7
7x = 56
x =56/7
x = 8
Step-by-step explanation:
What is the largest car engine in the world?
A: What is the full name of the car?
B. What is the size of the engine in liters?
C. How many cylinders does it have?
WILL GIVE 100 POINTS TO WHOEVER ANSWERS THE QUICKEST
Answer:
Congratulations Chrysler!
Step-by-step explanation:
Help
Will mark as brainliest
Answer:
C
Step-by-step explanation:
Given
3a - 2a × 4a + 6a
According to order of operations.
Multiplication is performed before addition/ subtraction, thus
= 3a - 8a² + 6a ← collect like terms
= (3a + 6a) - 8a²
= 9a - 8a² → C
What is y=2(x+3)^2 -4 in standard form
here hope this helps :)
Answer:
[tex]y=2x^2+12x+14[/tex]
Step-by-step explanation:
[tex]y=2(x+3)^2 -4[/tex]
[tex]y=2(x^2+6x+9) -4[/tex]
[tex]y=2x^2+12x+18-4[/tex]
[tex]y=2x^2+12x+14[/tex]
Rewrite the function by completing the square r^2+18x+80=0
Answer:
x = -10, -8
Step-by-step explanation:
x^2+18x+80=0
Subtract 80 from each side
x^2+18x=-80
Take the coefficient of x
18
Divide by 2
18/2 = 9
Square it
9^2 =81
Add 81 to each side
x^2+18x +81=-80+81
(x+ 9) ^2 = 1
Take the square root of each side
sqrt((x+ 9) ^2 )=±sqrt( 1)
x+9 = ±1
Subtract 9 from each side
x+9-9= -9 ±1
x = -9+1 x = -9-1
x = -8 x = -10
Answer:
x+9^2=1
Step-by-step explanation:
khan academy
Help ASAP!!What is the volume of our planet if we assume that it is a sphere with the radius 3, 950miles? Round your answer to the nearest integer, use 3.14 for you calculations.
Answer: 258023743333miles³
Step-by-step explanation:
Volume of a sphere = 4/3πr³.
where,
π = 3.14
r = radius = 3950
Volume of a sphere = 4/3πr³.
= 4/3 × 3.14 × 3950³
= 4/3 × 3.14 × 61629875000
= 258023743333miles³
The volume of our planet if we assume that it is a sphere with the radius 3,950miles will be 258023743333miles³
Artur, Olga i Wiktor uczestniczyli w wyścigu. Wystartowali z tego samego miejsca, w tym samym momencie i biegną ze stałymi prędkościami. Gdy Artur ukończył bieg, Olga miała 15 m do mety,
a Wiktor miał 35 m. Gdy Olga ukończyła bieg, Wiktorowi pozostały 22 m do mety. Na jakim dystansie został rozegrany wyścig?
Answer:
165m
Question:
Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish,
and Wiktor was 35 m. When Olga finished the race, Wiktor remained 22 m to the finish. At what distance was the race held?
Step-by-step explanation:
Let Artur distance covered be =>x
When Artur covered distance x:
Olga was 15m from x
Olga = x - 15
Wiktor was 35m from x
Wiktor = x - 35
When Olga covered distance x:
Wiktor was 22m from x
The ratio of Olga to Wiktor:
(x-15)/(x-35) = x/(x-22)
Cross multiply
(x-15)(x-22) = x(x-35)
x² - 15x - 22x + 330 = x² - 35x
x² -37x +330 - x² + 35x = 0
-2x = -330
x = (-330)/(-2)
x = 165m
The race held at 165m distance
plz solve -8 ( x - 3 ) - 4x = 48
Answer:
x = -2
Step-by-step explanation:
-8 ( x - 3 ) - 4x = 48
Distribute
-8x +24 -4x = 48
Combine like terms
-12x +24 = 48
Subtract 24 from each side
-12x+24-24 = 48-24
-12x = 24
Divide each side by -12
-12x/-12 = 24/-12
x = -2
Answer:
X= -2
Step-by-step explanation:
First, you need to distribute -8 into (x-3) ---> -8(x-3)-4x=48
-8x + 24 -4x= 48
Get numbers with variables on its own side--> -24 -24
-8x - 4x = 24
Combine -8x and -4x -----> -8x-4x = -12x -12x = 24
Divide ----------------------------------> -12 -12
24÷ -12 = -2
Answer the question below
Answer:
d
Step-by-step explanation:
What is the slope of this line?
1.25 = 0.75 + r
What is r ?
r = 0.5
Step-by-step explanation:
[tex]1.25=0.75+5[/tex]
We can subtract 0.75 from both sides. The 0.75 will then cancel out.
[tex]0.5=r[/tex]
r = 0.5
Answer:
r = 0.5
Step-by-step explanation:
1.25= 0.75 + r
r = 1.25- 0.75
r = 0.5
On the diagram i need to fond the following measures of angles. Please help quickly!
Answer:
62° and 54°
Step-by-step explanation:
The exterior angle of a triangle is equal to the 2 opposite interior angles.
116° is an exterior angle of the triangle, thus
2x + 4 + 3x - 13 = 116, that is
5x - 9 = 116 ( add 9 to both sides )
5x = 125 ( divide both sides by 5 )
x = 25
Thus
∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°
∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°
What is the base of the expression 9 Superscript 12? 3 9 12 21
Answer:
9
....................
Answer:
9
Step-by-step explanation:
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Help help plizzzzz!!! Due today!!!!
Answer:
FIll in the first box comepletely, and the first line of the second box.
Step-by-step explanation:
5/4 is 1 1/4, so it's one whole, and one fourth of a whole. Hope this helps!
Answer:
20/4
Step-by-step explanation:
Multiply diagonally
[tex]\frac{5}{4} = \frac{1}{4}= \frac{20}{4}[/tex]
That's how I learned it others might do it a different way but I hope this helps Good luck.
4. The dimensions of a triangular pyramid are shown below. The height of
the pyramid is 6 inches. What is the volume in cubic inches?
---------
-----
1
5 in
What is the answer
Answer:
The volume of the pyramid is 5 cubic inches.Step-by-step explanation:
Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be
[tex]V=\frac{1}{3}Bh[/tex]
Where [tex]B[/tex] is the area of the base (triangle) and [tex]h[/tex] is the height.
[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]
Then,
[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]
Therefore, the volume of the pyramid is 5 cubic inches.
Answer:
Step-by-step explanation:
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X-16=42 what does x equal and how did you get your answer.
So the right answer is 58.
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
58
Step-by-step explanation:
Add 16 to both sides
x-16=42
x-16+16 = 42+16
-16 and 16 cancel out
x = 58