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shepuryov [24]
3 years ago
12

Which equations show the identity property of multiplication?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
My answer is a and c becuase they equal the same on each side
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Which function is a horizontal translation of the parent quadratic function, f(x)=x^2?<br> HELP PLS
Elenna [48]

Answer:

f(x)=

{x}^{2}  + 8

or

{x}^{2}   - 4

5 0
3 years ago
Find 0.<br>Trigonometry problems.
aivan3 [116]

In the triangle with legs 7 and 9 cm, you can find the length of the hypotenuse by using the Pythagorean theorem. If the hypotenuse is x, then

7^2+9^2=x^2\implies x=\sqrt{130}

The other right triangle with leg 6 cm and containing the angle \theta satisfies

\sin\theta=\dfrac{6\,\rm cm}{\sqrt{130}\,\rm cm}\implies\theta=\sin^{-1}\dfrac6{\sqrt{130}}\approx31.75^\circ

6 0
2 years ago
What is the value of X?
Ugo [173]

∆ABC similar to ∆CBD

DB/AC = CB/AB

\frac{x}{7.5}  =  \frac{7.5}{x + 3}  \\ x(x + 3) =  {7.5}^{2}  =  { (\frac{15}{2}) }^{2}  \\  {x}^{2}  + 3x =  \frac{225}{4}  \\ 4 {x}^{2}  + 12x = 225 \\ 4 {x}^{2}  + 12x + 9 = 216 \\  {(2x + 3)}^{2}  = 216 \\ 2x + 3 = 6 \sqrt{6}  \\ x =  - 1.5 + 3 \sqrt{6}

approximately 6.1485

4 0
3 years ago
Which statement correctly compares the two functions shown?
krok68 [10]

Answer:

C.

Step-by-step explanation:

For Function 2

x=1 y=8

x=2 y=11

8=m+b

11=2m+b

11-8=2m-m

m=3

8=3+b

b=5

y=3x+5

Function 1

y=4x+5

Function 2

y=3x+5

....................

Function 1 has the same y-intercept and greater slope than Function 2.

4 0
2 years ago
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
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