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2 years ago

the product of -5 and a number is at least -40 What algebraic inequality represents the phrase and what are the solutions?

Mathematics

1 answer:

nikitadnepr [17]2 years ago

5 0

Answer:

-5x ≥ -40 ; x ≤ 8

Step-by-step explanation:

-5x ≥ -40

x ≤ 8

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Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)

Elina [12.6K]

So hmm check the picture below

the height or altitude is CD
and the base is AB

how long are those? well $\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ 6}}\quad ,&{{ 0}})\quad 
% (c,d)
B&({{ 1}}\quad ,&{{ 5}})\\\\
C&({{ 2}}\quad ,&{{ 0}})\quad 
% (c,d)
D&({{ 4}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
AB=\sqrt{(1-6)^2+(5-0)^2}\qquad \qquad CD=\sqrt{(4-2)^2+(2-0)^2}$

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3 years ago

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The adults of a certain type of insect have a mean length of 0.6 inch. The students in a science class measured 10 insects of th

mixer [17]

Answer:

Step-by-step explanation:

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2 years ago

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What does 15x+35 equal

____ [38]

<span>15x+35 = 5(3x + 7)

hope that helps</span>

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2 years ago

WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 30th term 28, 25, 22, 19, ... (s

Fudgin [204]

Answer:

$a_n = 31 - 3n\\\\a_{30}= 59$

Step-by-step explanation:

Given Arithmetic sequence is:

28, 25, 22, 19, ...

a = 28, d = 25 - 28 = - 3,

nth term of an Arithmetic sequence is given as:

$a_n = a + (n - 1) d\\$

Plugging a = 28 & d = - 3 in the above equation, we find:

$a_n = 28 + (n - 1) (-3)\\\\a_n = 28 - 3n +3\\\\\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\Plug \: n = 30, \: we \: find:\\\\a_{30}= 31 - 3 \times 30\\\\a_{30}= 31 - 90\\\\\huge\orange {\boxed {a_{30}= 59}} \\\\$

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2 years ago

When the expression x^2+2x-8 is factored the two roots will equal

Vilka [71]

x^2+2x-8

(x+4) (x-2)

x=-4, x=2

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2 years ago