Step-by-step explanation:
y=x+6 ,hence:
x+x+6=12
2x=6
x=3
=> y=9
A rectangle has an area of 12x²+17x-5mm². For what value of x is the rectangle a square? What is the area of a square? Justify your answer and show your work. A=12x²+17x-5mm²
Answer:
23mm
528 mm^2
Step-by-step explanation:
The area of a rectangle is given as the product of its length and width.
Given that 12x²+17x-5mm² is the area
factorize
12x²+17x-5 = 12x²+20x -3x-5
= 4x(3x+5)-1(3x+5)
= (3x+5)(4x-1)
For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence
3x + 5 = 4x -1
collect like terms
3x - 4x = -5 -1
-x = -6
x = 6
substitute into the sides
3x + 5 = 3(6) + 5 = 23
4x -1 = 4(6) - 1 = 23
The area of the square which is a product of the sides
= 23 * 23
= 529
Answer in terms of A and B
X2-6x+8=? Answer plzzzzzzzzzzzzzz
Answer:
The answer to your problem should be 2
Answer:
x^2 - 6x + 8 = x^2 - 2x - 4x + 8 = x(x-2) - 4(x-2) = (x-4) (x-2)
x - 4 = 0 => x = 4
x - 2 = 0 => x = 2
how do I get the answer to 5/3(-6)
7(x-2)<2x+3 as a improper fraction
Answer:
-23/3
Step-by-step explanation:
sorry if i am wrong
Write the equation of the graph in slope intercept form
Answer:
1/2x+3
For the slope you have to on the 2,2 you have to go up and over to the next dot on a line and for the y intercept you just have to find it on the line and if it was on the bottom do a -3 rather than a +3.
Which of these numbers is not larger than -2 on a number-line? *
( a) 0
(b) -1
(c) 5
(d) -3
Answer:
d
Step-by-step explanation:
Find all angles plssss
Answer:
99
Step-by-step explanation:
All exterior angles should add up to 360. :)
Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney read more pages in 1 hour?
Answer:
At these rates Sydney read 10 pages per hour more than Zander.
Step-by-step explanation:
Zander read [tex]13\frac{3}{4}[/tex] pages in [tex]\frac{1}{4}[/tex] of an hour.
Therefore, pages read by Zander in 1 hour = [tex]\frac{\text{Total pages read}}{\text{Total time taken}}[/tex]
= [tex]\frac{13\frac{3}{4}}{\frac{1}{4}}[/tex]
= [tex]\frac{55}{4}\times \frac{4}{1}[/tex]
= 55 pages per hour
Sydney read [tex]43\frac{1}{3}[/tex] pages in [tex]\frac{2}{3}[/tex] of an hours.
Pages read by Sydney in 1 hour = [tex]\frac{43\frac{1}{3}}{\frac{2}{3} }[/tex]
= [tex]\frac{130}{3}\times \frac{3}{2}[/tex]
= 65 pages per hour
Therefore, number of pages read more by Sydney as compared to Zander,
= 65 - 55
= 10 pages per hour
At these rates Sydney read 10 pages per hour more than Zander.
------------Need help ----------
Y=3x-2
Answer: -8, -5, -2, 1, 4
Step-by-step explanation:
Y=3x-2
- Plug in the number for x.
x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8
x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5
x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2
x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1
x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4
PLEASE HELP PLEASEEEE!!! Number 3
Please help, I need the answer:
Amber tried to evaluate an expression step by step
-3 - (-5) + 4
= -3 + 5 + 4
= -3 + 9
= 6
Find Amber’s mistake
Answer: she didnt get it wrong so its none of the above
Step-by-step explanation:i did it on khan if i got it right mark me brainliest pls
Two pet stores offer customers the opportunity to donate money, in dollar increments, to the local humane society at the register. The dot plots below show the amounts donated last week.
The variability at each pet store is 1.4. The difference between the mode amount donated at each pet store is approximately how many times the variability?
A. 3
B. 4
C. 2
D. 5
Help please look at the pic
Answer:
oo
online cheating
this is not fair
Answer: it is the first one
Step-by-step explanation:
PLEASE HELP
Why are some numbers not multiples of other numbers?
Answer:
If it's not a multiple of another number then for sure it's a factor
I need the answer for this. Please help
Y=8/10+22
Please s helppppppo!!!!
Answer:
22
Step-by-step explanation:
Hey There!
So if you didn't know angle H is a right angle. So we are given two angles and they want us to find the missing angle
Remember all of the angles of a triangle add up to equal 180
so we subtract the given angles from 180 to find the missing angle
180-90-68=22
so we can conclude that angle G = 22
Xyx Motors pays Nick $1,567.46 in dividends every year. If the dividend on one share of Xyx Motors is $4.33, how many shares does Nick own?
a.
383
b.
457
c.
362
d.
276
Answer:
C. 362
Step-by-step explanation:
If you divide 1567.46 by 4.33, you get 362.
Answer:
c
Step-by-step explanation:
9 less than m squared
Answer: b = m
(3 + m)(3 - m)
Step-by-step explanation:
what is the answer for 9k^2=225
9k² = 225
k² = 225 : 9
k² = 25
k = -5 and k = 5 because :
(-5)² = (-5) * (-5) = 25
5² = 5 * 5 = 25
Find two integers whose sum is -2 and product is -80
Answer:
-10 and 8
Step-by-step explanation:
-10 + 8 = -2
-10 x 8 = -80
Answer:
x = -10 and y = 8
x = 8 and y = -10
Solve to find the answer of blue pills Mr body took: number of blue pills, b, mr mattics give him was 3 more than the number of green pills,g, total number of pills took was 17, 11 blue pills to kill
Answer:
Mr body took 9 blue pills
Step-by-step explanation:
Total number of pills consumed = 17
Number of blue pills, b = 11
Number of blue pills, b = g + 3
So that,
b = g + 3
11 = g + 3
g = 8
Total number of pills recommended = b + g
= 11 + 8
= 19
Total number of pills consumed = 17
Thus,
Number of blue pills consumed = 17 - 8
= 9
Therefore, Mr body took 9 blue pills.
The line plot shows the distances, in miles, run by joggers in a park.
How many runners ran at least 3 miles?
Enter your answer in the box.
runners
What would be the first step in solving the equation 7/9x + 34 = 174?
Answer:
[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]
❤️❣️❤️
A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.
The goal is 8 feet high. What is the maximum angle of elevation at which the player
can shoot the ball and still score a goal?
Answer:
14.93°
Step-by-step explanation:
Using trigonometry :
From the diagram attached :
Angle of elevation = x
To obtain the value of x
Tan x = opposite / Adjacent
Tan x = 8 / 30
Tan x = 0.266666
x = tan^-1(0.26666)
x = 14.93°
Therefore, the angle of elevation is 14.93°
You are a laboratory technician. You are filling spherical flasks with a salt solution and then putting them into boxes. Each flask has a volume of 113.04 cubic inches.
Rounded to the nearest tenth of an inch, what is the radius of one flask?
3.0
3.6
5.2
6.4
6.9
Answer:
3.0 inches
Step-by-step explanation:
The formula for the volume of a sphere is
V = 4/3 × π × r³
V = 113.04 cubic inches
To find r
r = (3V/4π)⅓
r = (3 × 113.04/4 × π )⅓
r = 3.0 inches
The radius of one flask = 3.0 inches
Option A is correct
Complete the equation of the line through (-6, 5) and (-3, -3)
Answer:
y = -8/3x - 11
Step-by-step explanation:
(-6, 5) and (-3, -3)
Slope:
m=(y2-y1)/(x2-x1)
m=(-3-5)/(-3+6)
m=(-8)/3
m= -8/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -8/3(x + 6)
y - 5 = -8/3x - 16
y = -8/3x - 11
5x + 8 =33 what is the x
A table is sold hire purchase. The sales price consists of deposit of $306 and six monthly instalments of $60 each. How much does a customer pay for the table?
Answer: $666
Step-by-step explanation: 306+ 60(6)= 666
1.
Consider the system of equations.
y = - 4x + 7
y=-x+2
What is the solution to the system of equations?
A (1,3/2)
B (1,3)
c (3/2,1)
D (3,0)
Answer:
I got B
Step-by-step explanation