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3 years ago

1. Determine if the two expressions are equivalent and explain your reasoning.

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

1. Yes because of the constant and coefficient if you add it. Like the answer is 5m +4.

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Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).

musickatia [10]

$\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0$

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3 years ago

Read 2 more answers

Need help! Does anyone know how to do this type of math? (It's geometry)

mart [117]

Answer:

Step-by-step explanation:

refer the attachment

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that tangents which meet at the same point are equal that is being said

FA=AI=17
CH=CG=2.5

since $\rm BA=FA+FB$ and it's given that FA and BA are 17 and 29 FB should be

$\rm 29=17+FB$

therefore,

$FB=29-17=\boxed{12}$

once again by two tangent theorem we acquire:

$FB=BH=\boxed{12}$

As BC=BH+CH,BC is

12+2.5
$\boxed{14.5}$

likewise,AD=AI+DI so,

21=17+DI [AD=21(given) and AI=17 (by the theorem)]

thus,

DI=21-17= $\boxed{4}$

By the theorem we obtain:

DI=DG=4

Similarly,DC=DG+CH therefore,

DC=4+2.5= $\boxed{6.5}$

Now finding the Perimeter of ABCD

$P_{\text{ABCD}}=\text{AB+AD+BC+DC}$

substitute what we have and got

$P_{\text{ABCD}}=\text{29+21+14.5+6.5}$

simplify addition:

$P_{\text{ABCD}}=\boxed{71}$

hence,

the Perimeter of ABCD is 71

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2 years ago

Room temperature is considered to be 70 Fahrenheit. suppose the temperature is 23 Celsius. Is this greater than or less than roo

Thepotemich [5.8K]

Yes its actually 73.4 degrees Fahrenheit

7 0

3 years ago

Find the perimeter. Perimeter = [?] Simplify your answer completely.

viktelen [127]

The answer would be 119 and 4/7

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2 years ago

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The sum of two numbers is six, and the difference is 10. Find the numbers.

pashok25 [27]

First no. = x
Second no. = y

Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)

x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
y = -2

x = 6 + 2
x = 8

Answer = 8 , -2

3 0

3 years ago