Answer:
a = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other [tex]m_{1}m_{2} = - 1[/tex]
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y = [tex]\frac{-2}{3} x[/tex] + [tex]\frac{6}{3}[/tex]
y = [tex]\frac{-2}{3} x[/tex] + 2
[tex]m_{1}[/tex] = [tex]\frac{-2}{3}[/tex]
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y = [tex]\frac{ax}{3} - \frac{5}{3}[/tex]
[tex]m_{2}[/tex] = [tex]\frac{a}{3}[/tex]
Apply the condition of perpendicularity:
[tex]\frac{-2}{3}[/tex] * [tex]\frac{a}{3}[/tex] = - 1
[tex]\frac{2a}{9} = 1[/tex]
a = [tex]\frac{9}{2}[/tex]
3. At the start of summer, Ben has $250 . He takes a summer
job and saves $ 150 per week. Tim has $ 1,650 at the start of
summer , he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?
Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
What is this simplifided 54123×54÷2=
Answer:
1461321
Step-by-step explanation:
4x + 16 - x= 22 + 6
O A. x = 3
O B. x= 2
O C. x = 4
D. x = 11
Answer:
The Answer is C
Step-by-step explanation:
22+6= 28
4(4)+16-4=28
Thus, the answer is C, X=4.
Answer:
C. x=4
Step-by-step explanation:
4x-x=22+6-16
3x=12
x=12÷3
x=4
please help me. Given the explicit formula for an arithmetic sequence find the 52nd term.
a =-41 + 30n
A) a52= 1519
B) a52= -1541
C) a52=-1492
D) a52=-1490
Answer:
a = -41 +30n
52nd term is
a52 = -41 + 30(52)
a52 = -41 + 1560
a52 = 1519
I’m having trouble solving this question can someone please help me out!!!
Answer:
Step-by-step explanation:
The answer is A
Look at the arrows in the following drawings
Answer:
a) perpendicular b) parallel c) perpendicular d) neither
Step-by-step explanation:
Perpendicular means that the lines will intersect/cross and create a 90 degree angle
Parallel lines will never intersect/cross because they are going the same way.
I need help with this
Answer:
b
Step-by-step explanation:
b is the answer
the range is all real number
whats 48 divided by 2
Answer:
My answer to the question is 24.
please help its multiplying rational numbers
-3.2(-5.6)(4)
= -3.2 - 5.6 x 4
= -3.2 - 22.4
= -25.6
The sum of a number and 12
Answer:
the sum of 6+6 is 12
Step-by-step explanation:
so the sum of the number 6+6 is 12 plz like and rate
y=x^-5 A) translate 5 units down B) translate 5 units up C) translate 5 units left D translate 5 units right
Answer:
B a translation 5 units to the left
Step-by-step explanation:
Edge 2021
Of 57 cars making up a freight train, 23 are boxcar. What fraction of the cars are not boxcars?
Answer:
total no of cars =57
Cars which are not boxcars =57-23=34
23/34×57=1339/34
what is 95.85 estimated to
Answer:
96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
95.85≅96, because 8>5.
You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?
Answer:
congrats you just found 118,222.36 pounds of pennies worth $134,061.9
you should buy a house or car with 59 tons of pennies
What is the solution to the linear equation?
를 글 - +
5
- X
6
x = -5
Ox=
0 x=
Ox=5
x=-5 ___________________
The question is an illustration of linear equation, and the solution to the linear equation is x = -5
How to determine the solution?The equation is given as:
[tex]\frac 23x - \frac 12 = \frac 13 + \frac 56x[/tex]
Multiply through by 6
4x - 3 = 2 + 5x
Collect like terms
4x - 5x = 2 + 3
Evaluate the like terms
-x = 5
Divide both sides by -1
x = -5
Hence, the solution to the linear equation is x = -5
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ5
Solve in detail plzzzzz
Answer:you need to multiply it by 4.
Step-by-step explanation:
If the number is multiplied by 4 it square root is effectively doubled.
Example: if you take the square root of 64, its 8.
to double the square root, you multiply 64 by 4---> 256.
And the square root of 256, is 16, double that of the square root of 64.
Consider the point. (1, 4, 5) What is the projection of the point on the xy-plane?
Given :
A point ( 1 ,4 ,5 ).
To Find :
The projection of the point on the xy-plane .
Solution :
Now , to find projection of a point in a plane in a plane we need to replace the coordinate of that remaining axis which is not in the plane .
Here , the plane given is xy-plane . So , remaining axis is z .
So , we replace coordinate of z =0 .
Therefore , the projection of the point ( 1 ,4 ,5 ) on the xy-plane is ( 1 ,4 ,0 ) .
Hence , this is the required solution .
the circumference of a circle is22 cm find the radiusof the circle
Answer:
3.5cm
Step-by-step explanation:
[tex]C = 22cm\\r = ?\\\\C = 2\pi r\\\\r = \frac{C}{2\pi} \\\\r = \frac{22}{2(3.14)}\\ \\r = \frac{22}{6.28} \\\\r = 3.5[/tex]
The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use 3.14 for π.
[tex]r = \sqrt{ \frac{3v}{4\pi} } [/tex]
Answer:
The radius of the volleyball is 8.3 inches
Step-by-step explanation:
Given
[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]
[tex]v = 288[/tex]
Required
Determine the value of r
To do this, we simply substitute 288 for v and 3.14 for π in the given equation.
This gives
[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]
[tex]r = \sqrt{\frac{3 * 288}{4 * 3.14}}[/tex]
[tex]r = \sqrt{\frac{864}{12.56}}[/tex]
[tex]r = \sqrt{68.7898089172}[/tex]
[tex]r = 8.29396219651[/tex]
[tex]r = 8.3\ inch[/tex] (Approximated)
Hence;
The radius of the volleyball is 8.3 inches
Answer: 4.1 inches
Step-by-step explanation:
Which of the following units measures the volume of a solid? Can choice more than one answer. A) mL B) m³ C) cm³ D) L
Answer: B and C
explanation: The volume of solids are expressed in cubic measurements such as cubic centimeters (cm^3) or cubic meters (m^3).
which of the following sets of numbers could represent the three sides of a triangle
A 6,20,28
b 4,11,15
c 9,19,30
d 5,15,19
Answer:
d 5,15,19
Step-by-step explanation:
The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.
__
If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.
(Some authors do allow such a triangle, in which case, there would be two answers here: B and D.)
Simplify the expression. -/4/
Which equation can be used to solve for x in the following diagram? Choose 1 answer:
Answer:
D) 60=(x+45)
Step-by-step explanation:
D. Since the two are equal, you need to put the two on opposite sides of the equation. The equation doesn’t involve 90 or 180 degrees, so no reason to have them.
Solving for x this way, you’d get 15, which is correct.
Find the quotient.
56,000 10
Answer:
5,600
Step-by-step explanation:
i used calculator.
Solve for y in terms of x. 16x + 4/3 y = 21
Answer:
y= -12x+63/4
Step-by-step explanation:
16x + 4/3 y = 21
4/3 y =21-16x
4y=3(21-16x)
4y=63-48x
y=63/4-48/4 x
y=-12x+63/4
Find the unknown length y in the following pair of similar triangles.
can someone answer 5,6,7? can you also tell me how to solve them so i can do better in the future?
2^20-2^1)=2^x. Solve for x
Answer:
x=19
Step-by-step explanation:
2^20-2^1=2^x(since they have the same base we can remove the bases)20-1=xx=19Simplify the following expression.
-21 - (-11)
Answer:
-10
Step-by-step explanation:
well you know that
[tex](-)(-)=(+)[/tex]
so we have
[tex]-21-(-11)\\\\=-21+11\\\\=-10[/tex]
what is 17492/15098.766= i dont have brain
The answer is 1.158505