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Diano4ka-milaya [45]
3 years ago
10

A rectangle has a height of 5 and a width of 4x^2-2x-6

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0
I couldn’t type it so i took a picture of what it is

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What is the point slope form of the line with slope 2/5 that passes through the point (−4, −7) ?
fredd [130]

y + 7 = \frac{2}{5} (x + 4)

the equation of a line in ' point- slope form ' is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = \frac{2}{5} and (a , b ) =( - 4, - 7)

y + 7 = \frac{2}{5} (x + 4) → equation in point- slope form


8 0
3 years ago
A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity
taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

h(t)=-16t^{2}+64t+180

Where h(t) is the height of the rock at a time t.

Now, if  h(t)=48 ft we can find t and then the velocity of the rock at that height:

48=-16t^{2}+64t+180

Rearranging the equation:

-16t^{2}+64t+132=0

Multiplying the equation by -1:

16t^{2}-64t-132=0

Solving with the quadratic formula t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}  , where a=16, b=-64, c=-132 .

t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}

Choosing the positive result of the equation:

t=5.5 s  

Since velocity V is defined as the traveled distance h(t) in a given time t, we have:

V=\frac{h(t)}{t}

V=\frac{48 ft}{5.5 s}

V=8.727 ft/s \approx 8.73 ft/s This is the velocity of the rock at the height of 48 feet

7 0
2 years ago
The greatest common factor of 30.48.60
Elena-2011 [213]
30= 3*10
30= 3*2*5

48= 12*4
48= 3*4*4
48= 3*2*2*2*2

60= 3*20
60= 3*10*2
60= 3*2*5*2

The GCF is 3*2 because all 3 numbers contain a 3 and a 2 in their prime factorizations.

Final answer: 6
6 0
3 years ago
Y varies directly to some quantities and varies inversely to some other<br> quantities
yulyashka [42]

Answer:

I don't understand your question

Step-by-step explanation:

5 0
2 years ago
Edward's school is 132 miles away from his home . He goes by car to school and back. The car consumed 4 gallons of gas taking hi
mixer [17]
Total distance is 132 miles x 2 times/day x 5 days = 1320 miles
That used 4 gallons of fuel, so 1320 miles/4 gallons = 330 miles per gallon
5 0
3 years ago
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