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djyliett [7]
3 years ago
10

Alec is doing a test of 50 questions. He gets 2 marks for every question that is correct, but loses 1 mark for every question th

at is wrong. Alec answers every question and scores 67 marks. How many questions did he answer correctly?
Mathematics
1 answer:
slega [8]3 years ago
4 0

Alec got 33 and a half questions correctly because he got one mark on the 34th Question

Step-by-step explanation:

50×2=100

100-67=33 and a half

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The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.
Elden [556K]

Answer:

height = 12 cm

base length = 4 cm

Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

x = y + 8

24 = y × (y + 8) / 2

48 = y × (y + 8) = y² + 8y

squared equation

y² + 8y - 48 = 0

solution

y = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 8

c = -48

y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

5 0
3 years ago
The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?
lisov135 [29]
<span>So the question is what does the point (-3, -5) correspond to on the graph of the function. If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate. So if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5. So it must be true that y=f(-3)=-5. So the correct answer is a. f(-3)=-5.</span>
6 0
3 years ago
Read 2 more answers
A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the numbers 3 and 4 representing a suc
anzhelika [568]
The answers seems like 1/2?
5 0
3 years ago
Help with this math question
Ulleksa [173]

Answer:

-\frac{13\sqrt{x} }{x}

Step-by-step explanation:

We have been given the following expression;

-13/√x

In order to rationalize the denominator, we multiply the numerator and the denominator by √x;

-\frac{13}{\sqrt{x}}=-\frac{13\sqrt{x} }{\sqrt{x}\sqrt{x}}\\ \\-\frac{13\sqrt{x} }{\sqrt{x^{2} } }\\\\-\frac{13\sqrt{x} }{x}

6 0
3 years ago
3.5w = 31.5.......................................
stich3 [128]
If you're solving for the value of w, the answer would be 9
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2 years ago
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