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xz_007 [3.2K]
3 years ago
6

(3x-1)(ax+b) = 12x² - 19x + cWork out the values of a, b and c.

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0
The value of a, b, c is
a=4
b= -5
c= 5

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49–2ax –a^2–x^2 factor
vampirchik [111]

49–2ax –a^2–x^2

Extract the negative sign

= 49 - (a^2 +2ax +x^2)

Factor using a^2 + 2ab + b^2 = (a+b)^2

= 49 - (a+x)^2

Factor using a^2 - b^2 = (a-b)(a+b)

= ( 7- (a + x)) * (7 + (a + x))

= ( 7- a - x) * (7 + a + x)

4 0
3 years ago
Find the surface area of this prism please (no links please)
horsena [70]

Answer:

192 ft^2

Step-by-step explanation:

to find the surface area of a shape, you must find the area of each side and add them together. the base of this shape is a rectangle with a length of 11ft and a height of 3ft; to calculate the area of a rectangle, you multiply the length by the height. 3*11 is 33, so the base of this prism has an area of 33ft^2. since this is a prism, we know that the side parallel to the base are the same shape, so they both have an area of 33ft^2. 33*2= 66. the two other large sides have a height of 4.5 and a length of 11; 4.5*11 is 49.5, there are two shapes with these dimensions, so 49.5*2=99. finally, the two shapes on either end of the prism have a height of 4.5 and a length of 3. 4.5*3= an area of 13.5, two of them, so 13.5*2=27. now you just add all of these numbers together: 66+99+27=192.

4 0
2 years ago
doug got 8 out of 10 questions correct on his math quiz. If each question was worth the same number of points, and the test was
melamori03 [73]

Answer:

Each answer correct is 5 points so Doug got 40 points.

Step-by-step explanation:

5 0
2 years ago
I need help on #23! I do not get this at all. Someone please help me
yulyashka [42]
Lenght is 4 + w
Width w
8 0
3 years ago
Read 2 more answers
A go-kart travels 21 miles per hour. Convert this speed into feet per minute.
Mademuasel [1]

Answer:  1848 feet per minute

<u>Step-by-step explanation:</u>

\dfrac{21\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times \dfrac{5280\ feet}{1\ mile}\quad =\dfrac{21\times 5280\ feet}{60\ minutes}\quad =\dfrac{110,880\ feet}{60\ minutes}\\\\\\=\large\boxed{1848\ feet\ per\ minute}

5 0
3 years ago
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