Answer:
C and D are correct options.
Step-by-step explanation:
The given phrase is “one-fourth of a number.”
Let the number be n.
one fourth means 1/4
Hence, the phrase “one-fourth of a number.” can be written as
We can rewrite this expression by multiplying numerator as
Therefore, the required expressions are
C and D are correct options.
Answer:
B
Step-by-step explanation:
Start by using the distance formula to find the raidus
The two points are (-2,1) and (-4,1)
√((-4+2)²+(1-1)²)= 2
The radius is two and we have our center which means we can write
(x+2)²+(y-1)²=4
now it's just a matter of expanding everyhting
x²+4x+4+y²-2y-3=0
x²+y²+4x-2y+1=0
This is equal to B
A.
5
B.
20
C.
25
D.
30
The slower cyclist's speed is 10 mph, and the faster cyclist's speed is 20 mph.
Let's denote the speed of the slower cyclist as "x" miles per hour (mph). Since the faster cyclist is going twice as fast, their speed would be "2x" mph.
When they start riding towards each other, their combined speed is the sum of their individual speeds:
Combinedspeed = x + 2x
= 3x mph.
We are given that they meet 3 hours later and travel a totaldistance of 90 miles.
The distance each cyclist travels can be calculated using the formula:
Distance = Speed × Time.
For the slower cyclist:
Distance = x × 3
Distance = 3x miles.
For the fastercyclist:
Distance = 2x × 3
Distance= 6x miles.
Since they are 90 miles apart and have traveled a total distance of 90 miles when they meet, we can set up an equation:
Distance of slower cyclist + Distance of faster cyclist = Total distance
3x + 6x = 90.
Simplify the equation:
9x = 90.
Divide both sides by 9:
x = 10.
So, the speed of the slower cyclist is 10 mph, and the speed of the faster cyclist is 2x which is 20 mph.
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(3x + 5)(x + 1)
(3x − 5)(x + 1)
Prime
Answer:
(D)
Step-by-step explanation:
The quadratic equation is in the form :
and In the above, (p + q) = b and pq = c.
To factor a quadratic, we'll need to start by finding the two numbers (being the p and the q above) that add up to equal b, where those numbers also multiply to equal c.
Since, both 3 and 5 in the given equation are prime numbers, thus the given equation cannot be factorised because of the prime nature.
Hence, option D is correct.
i could only do 5-7 but i hope it still helped, you got this!