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2 years ago

5. Two friends, Joseph and Darius, each drive

Mathematics

1 answer:

Blababa [14]2 years ago

4 0

Answer:

72miles

Step-by-step explanation:

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What’s the Greatest common factor of 12 and 60?

rewona [7]

12 is your answer

12 x 1 = 12

12 x 5 = 60

hope this helps

3 0

3 years ago

Read 2 more answers

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero. This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0

3 years ago

Solve the equation. 27x - 6 = 9x - 1

Evgesh-ka [11]

27x-6=9x-1
27x-9x =-1+6
18x = 5
x = 5/18

5 0

3 years ago

Read 2 more answers

Which exponential equation is equivalent to the logarithmic equation below?

julsineya [31]

Answer:

$\implies\boxed{ 10^a = 300 }$

Step-by-step explanation:

We are provided logarithmic equation , which is ,

$\implies log_{10}^{300}= a$

Here we took the base as 10 , since nothing is mentioned about that in Question .

Say if we have a expoteintial equation ,

$\implies a^m = n$

In logarithmic form it is ,

$\implies log_a^n = m$

Similarly our required answer will be ,

$\implies\boxed{ 10^a = 300 }$

3 0

2 years ago

A triangle has vertices at A(-2,3), B(2,-2), and C(-2,-2). What is the area of the triangle?

Softa [21]

Answer:

The area of the given triangle ABC is 10 units.

Step-by-step explanation:

we have the area of the triangle when points are given is given by the relation

Area of triangle=

$\frac{1}{2} {x1 \times (y2 - y3) + x2 \times (y3 - y1) + x3 \times (y1 - y2)}$

and hence putting the Value

triangle = 1/2*( -2*(-2+2)+2*(-2-3)+(-2)*(3+2))

= 1/2*(0+2*(-5)+(-2)*5)

= 1/2*(-10-10)

= 1/2*(-20)

= (-10) units

Since area of the triangle is always positive, we neglect the minus sign and take 10 units as its area.

6 0

3 years ago