Answer:
The equation of the perpendicular line is 2x-4y -12=0
Step-by-step explanation:
Explanation
Given that the equation of the line is 4x+2y-12=0
The equation of the perpendicular line b x -ay +k=0
The equation of the perpendicular line 2x -4y +k=0
This line passes through the point (8,1)
2(8)-4(1)+k=0
⇒ 16 -4+k=0
⇒ 12 +k=0
k =-12
The equation of the perpendicular line is 2x-4y -12=0
Evaluate the following expression.
2⁵ + (10 - 7)⁴ + 6
Answer:
the answer is 119 hope this helps
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
2 to the power of 5 is 32 and 10 - 7 = 3 and 3 to the power of 4 is 81 and 81 + 32 is 113 and 113 + 6 = 119
The Amar family drives 90 miles in 2 hours, as shown on the double number line below.
image 05c5e308c558498fa8ba743ccde15e1d
At this rate, how many hours will it take the family to drive 225 miles?
A.
2.5 hours
B.
5 hours
C.
6 hours
Answer:
oh nah 1.98
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
divide 90 by 2
middle school math
Customers left Jill $2.50 as a tip. The tip was 20% of the total. How much was the bill?
Answer:
$12.50
Step-by-step explanation:
Answer:
The bill was $12.50
Step-by-step explanation:
Brainliest please... nvm
There are 38 students in Mr. Reynolds math class and 20 are boys.If a student is selected at random what is the probability that a girl is selected?Give the answer as a fraction in simplest form.
Answer:
9/19
Step-by-step explanation:
if 20 students are boys, then the remaining students are girls. 38-20 = 18
There are 18 girl students.
18/38 can be simplified to 9/19
Answer:
9/20
Step-by-step explanation:
The decrease in price of an article is 5% of the original price. If the new price is $ 285, what was
the original price?
Annika saving money for a trip. She's able to save $75 a week. Her friend from Iceland Eva is also saving money. Eva is able to save 9000 Kronas (Icelandic money) each week. If $4 is equal to 509 Kronas, who is saving at a greater rate?
please show your work/steps
Answer:
Annika is saving more money than Eva
Step-by-step explanation:
first I divide 9000 by 509 and got 17.68 then I multiplied that by 4 and got 70.72 so that is what eva makes a week in us dollars
please help please really need help please
Answer:
x = 1
y = -2
Step-by-step explanation:
5x - 2y = 9 -----------(I)
2x + 7y = -12 --------------(II)
Multiply (I) by 7 35x - 14y = 63
Multiply (II) by 2 4x + 14y = - 24 {Now add and thus y will be eliminated}
39x = 39
x = 39/39
x = 1
Plugin x = 1 in equation(I)
5*1 - 2y = 9
5 -2y = 9
-2y = 9 -5
-2y = 4
y = 4/-2
y = -2
Evaluate the function, f(m)=4+2.5m, when m=3
Answer:
11.5
Step-by-step explanation:
its up there
p+12=17 what does p equal in this situation
Answer:
5
Step-by-step explanation:
5+12= 17
Equation/Question:
P+12=17 What does P equal in this situation?
Answer/Steps to answer:
1. Subtract 12 from both sides.
p=17-12
2. Simplify 17-12 to 5.
p=5
-------------------
Checking:
P+12=17
1. Let p=5.
5+12=17
2. Simplify 5+12 to 17.
17=17
Done by NeighborhoodDealer
A climber starts at an elevation of -200 meters and her change in elevation is 300 meters up. What is her final elevation?
Answer:
100
Step-by-step explanation:
because -100 0 then positive 100
Formulate a step-by-step explanation (in words) on how to simplify (x^2+2x-8)/(x^2+7x+12). Be sure to write a sentence for each step (use correct mathematical language). Which step did you find most difficult to explain and why?
Answer:
see attached
Step-by-step explanation:
kindly go through the work i have done. ask for any clarification
Answer:
(x - 2) / (x + 3)
Step-by-step explanation:
We proceed to factor both polynomials:
x^2+2x-8 = (x + 4) * (x - 2) in numerator
x^2+7x+12 = (x + 4) * (x + 3) in denominator
therefore, there is a common factor (x + 4) which can be cancelled in the original rational expression, resulting in the following rational expression:
(x^2+2x-8)/(x^2+7x+12) = (x - 2) / (x + 3)
All steps where pretty simple.
What is 5.23 divided by 9
Answer:
[tex]\frac{5.23}{9} = 0.581111[/tex]
Step-by-step explanation:
5.23 / 9 = 0.5811111
Help it’s 50% of my grade
Answer:
(1/2)x+(1/4)=x
x=0.5
3x+3=2(x+7)
x=11
2(x-5)+7=x+8
x=11
0.8x+5=0.2(40-x)
x=3
5(x-1)-6x=-11x
x=0.5
6(x+2)-x=4(x+4)+7
x=11
(1/2)(x+8)+(3/2)x=10
x=3
Step-by-step explanation:
(1/2)x+(1/4)=x
x-0.5x=0.25
0.5x=0.25
x=0.5
3x+3=2(x+7)
3x+3=2x+14
3x-2x=14-3
x=11
2(x-5)+7=x+8
2x-10+7=x+8
2x-x=8+10-7
x=11
0.8x+5=0.2(40-x)
0.8x+5=8-0.2x
0.8x+0.2x=8-5
x=3
5(x-1)-6x=-11x
5x-5-6x=-11x
11x-x=5
10x=5
x=0.5
6(x+2)-x=4(x+4)+7
6x+12-x=4x+16+7
6x-4x-x=16+7-12
x=11
(1/2)(x+8)+(3/2)x=10
0.5x+4+1.5x=10
2x=6
x=3
X+y = -15 in y = mx+b form
Answer:
y=-15x+b
Step-by-step explanation:
Just move it around and use a calucator
The diagram shows a semi-circle inside a rectangle of length 120 m.
The semi-circle touches the rectangle at A, B and C.
Not to scale
A
C
120 m
Calculate the perimeter of the shaded region,
Give your answer correct to 3 significant figures,
(5 marks)
I
Answer:
Answer is 30 m
Step-by-step explanation:
First calculate the cricumfrance of the circle, then divide it by 4 and thats the edge of the shaded area and the radius is the other edjes im pretty sure
Does anyone knows this please
First question:
-2x x 5x
Second question:
(8x)^2
Please
.
Answer:
1) [tex]-10x^2[/tex]
2) [tex]64x^2[/tex]
Step-by-step explanation:
First question:
-2x . 5x = [tex]-10x^2[/tex]
Second question:
[tex](8x)^2=8x.8x= 64x^2[/tex]
the scale on a map is 1:25000. how many km on the ground is represented by 6cm on the map?
Given:
The scale on a map is 1:25000.
To find:
How many km on the ground is represented by 6cm on the map?
Solution:
Let x be the km on the ground.
We know that,
1 km = 1000 m
1 m = 100 cm
So,
1 km = 100,000 cm
x km = 100,000x cm
The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.
[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]
[tex]\dfrac{100,000x}{25000}=6[/tex]
[tex]4x=6[/tex]
[tex]x=\dfrac{6}{4}[/tex]
[tex]x=1.5[/tex]
Therefore, 1.5 km on the ground is represented by 6cm on the map.
Solve the system of functions below:
-9x = (-2x^2)-4-y
x = (-y+6)/3
Point Form:
(1,3) (5,-9)
Equation Form:
x=1 y=3
x=5 y=-9
solve for the first variable in one of the equations, then substitute the result into the other equation.
The results of a magazine survey showed that 42 out of 80 people plan to vote for Mr. Smith for President. Which is the best prediction of the total number of votes he will receive if 2,000 people vote?
A.
25
B.
50
C.
120
D.
1,050
Find the area. Answer without units
Guys, PLEASE HELP! These are my last points. PLEASE EXPLAIN AS WELL! WORTH 25 POINTS!
Answer:
the slope is 2
Step-by-step explanation:
When the model train goes once around the track, about how far does is travel?
3 ft
7 ft
Answer:
I think the answer is the train travels about 23.42
1. All of the variables below are directly proportional, write an equation linking them:
a. V= 12 when M =4
b. T= 5 when S=1
c. Y= 34 when x=2
d. H=48 when M=4
e. P= 5 when N=10
Answer:
a. V = 3M
b. T = 5S
c. Y = 17x
d. H = 12M
e. P = 0.5N
Step-by-step explanation:
a. V= 12 when M =4
12/4 = 3, so in this case, V is 3 times M, that is, V = 3M
b. T= 5 when S=1
5/1 = 5, so in this case, T is 5 times S, that is, T = 5S
c. Y= 34 when x=2
34/2 = 17, so in this case, Y is 17 times x, that is, Y = 17x
d. H=48 when M=4
48/4 = 12, so in this case, H is 12 times M, that is, H = 12M
e. P= 5 when N=10
5/10 = 1/2 = 0.5, so in this case, P is half of N, that is, P = 0.5N
What is 30% of 50 pounds?
Answer:
15 pounds
Step-by-step explanation:
hope that help
Determine whether the fractions are equivalent 27/48 and 18/28
Answer:
They are not equivalent
Step-by-step explanation:
Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
Question Help: Message instructor
Submit Question
Answer:
Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
Question Help: Message instructor
Submit Question
Step-by-step explanation:
Derrick brought 24 cupcakes to a birthday party. The guests at the party ate 2/3 of the cupcakes. How many cupcakes did the guests eat?
A rectangular honeycomb measures 35.1 cm by 32.4 cm. Approximately how many cells does it contain?
Answer:
1,137.24
Step-by-step explanation:
Every worksheet is made up of thousands of rectangles, which are called cells. A cell is the intersection of a row and a column—in other words, where a row and column meet. Columns are identified by letters (A, B, C), while rows are identified by numbers (1, 2, 3).
So all you do is multiply like if you were finding the area:
35.1 x 32.4 = 1137.24.
9 divided by what equals 18?
Answer:
0.5
planation:
9/18 = 0.5
If you write the problem out x will represent the missing number
9 ÷ x = 18
You can write it as 9 ÷ 18
which is 0.5
The problem is asking what is 9 divided by to get 18
162 . . . . . . . . . . . . . . . . . .
6.1 - 5.4 - ( 7.7)
help
Answer:
-7
Step-by-step explanation:
i used a calculator