All categories

3 years ago

Which one would be the correct answer?

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

7 0

Y≤ 3x-1. Why?

Note that y intercept = -1 , but note also that it can get all values
smaller than - 1 as per the grey area

You might be interested in

35% of the students in a school of 2060 are freshmen. How many students in the school are freshmen

Svetllana [295]

There are 721 freshman.
Make 35% a decimal, multiply by 2060
.35*2060=721

5 0

3 years ago

Read 2 more answers

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago

I need help ASAP will mark you the brainliest

Vadim26 [7]

Answer:

Step-by-step explanation:

<DCE = BCA (vertical angles are congruent)

DC corresponds to CB,

DC/CB = 15/5 = 3

EC corresponds to CA,

EC/CA = 12/4 = 3

Thus, two sides in ∆ABC are proportional to two corresponding sides in ∆EDC, and also, the included angle in ∆ABC and ∆EDC are congruent to each other. Therefore, based on the SAS Similarity Theorem, ∆ABC and ∆EDC are similar.

4 0

3 years ago

Write an equation in slope-intercept form? (12,5); y=2/3x-1

Marina86 [1]

Answer:

y-5=2/3x(12-x) would be point form

3 0

4 years ago

A baking recipe needs a ratio of water to flour of 2/3. How much flour will be in a recipe that calls for 4 cups of water?

JulsSmile [24]

ANSWER:
6

Step by Step:
2x2=4
do the same on both sides so
3x2=6

Hope this helps. :)

4 0

3 years ago