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Elan Coil [88]
3 years ago
14

Help me, select all that apply

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

1.5ft, 2ft, 2.5ft

12ft, 35ft, 37ft

Step-by-step explanation:

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Solve<br> y=-x2+2x+10<br> y=x+4
Marizza181 [45]
Y=10
explanation:
-4•2= -8
2•4=8
-8+8=0
y=10
4 0
3 years ago
Find the h.c.f of
yuradex [85]

The greatest common factor will be (x² – xy + y²).

<h3>Greatest common factor</h3>

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

Learn more on GCF here: brainly.com/question/902408

#SPJ1

3 0
2 years ago
A regular octagon with side length a cm can be made by cutting off
Ksivusya [100]

Answer:

one side = \frac{a\sqrt{2}}{2}

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = \frac{a^{2} }{2}

x = \frac{a}{\sqrt{2}}

which, if you rationalise the denominator, you get:

x = \frac{a\sqrt{2}}{2}

5 0
3 years ago
HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
Roman is playing a game in which he draws cards from a standard 52-card deck. Roman draws one card from
Igoryamba

Answer:

50% ................................

8 0
3 years ago
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