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ollegr [7]
3 years ago
5

Y = x^2-38x - y = 18​

Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer:

When x=5, y=22. And when x=3, y=6.

Step-by-step explanation:

y=x^2-3

8x-y=18

-------------

y=8x-18

x^2-3=8x-18

x^2-8x-3=-18

x^2-8x-3-(-18)=0

x^2-8x-3+18=0

x^2-8x+15=0

factor out the trinomial,

(x-5)(x-3)=0,

zero property

x-5=0, x-3=0,

x=0+5=5

x=0+3=3

-------------------------

y=5^2-3=25-3=22

y=3^2-3=9-3=6

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What is (-7/10+0.15) divided by (-0.125)
meriva
First we make -7/10 into decimal (-0.7)
then we can do 2 things
1. simplif parenthasees then divide
2. split into 2 fractions then add

I like first one better
(-0.7+0.15)/-0.125)
simplify partnehasees
-0.70+0.15=-0.55
nwe we have
-0.55/-0.125=4.4 (remember that (-)/(-)=(+)

answer is 4.4
6 0
3 years ago
A bomber aircraft on take-off carries twelve dozen bombs, each weighing ten kilos; the aircraft takes off for Warsaw, the intern
zimovet [89]

Answer:

The aircraft when empty weighs 4,817.48 kilograms.

Step-by-step explanation:

Since a bomber aircraft on take-off carries twelve dozen bombs, each weighing ten kilos; and the aircraft takes off for Warsaw, the international center of Jews bombing the town, and on take-off with all the bombs on board and a fuel tank containing 1000 kilos of fuel, the aircraft weighed about eight tons, while when it returns from the crusade, there are still 230 kilos of fuel left, to determine what is the weight of the aircraft when empty, the following calculation must be performed:

1 ton = 907.185 kg

8 x 907.185 = 7,257.48

7,257.48 - (12x12x10) - 1000 = X

7,257.48 - 1,440 - 1000 = X

7,257.48 - 2,440 = X

4,817.48 = X

Therefore, the aircraft when empty weighs 4,817.48 kilograms.

7 0
3 years ago
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37. an = -2 + (n-1)(-5) an = -2 + (n-1)(5) an = 2
Marina86 [1]
From the 3rd term to the 8th term, we'd need to use the "common difference" or "d", 5 times, namely add it that many times, to get the 8th term, thus

\bf \begin{array}{ll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_3&-12\\
a_4&-12+d\\
a_5&-12+d+d\\
a_6&-12+d+d+d\\
a_7&-12+d+d+d+d\\
a_8&-12+d+d+d+d+d\\
&-12+5d\\
&-37
\end{array}\implies -12+5d=-37
\\\\\\
5d=-25\implies d=\cfrac{-25}{5}\implies d=-5

we know the 3rd term is -12, so the first one has to be -12+5+5, undoing the -5's, so the first term is -2.
 
\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-2\\
d=-5
\end{cases}
\\\\\\
a_n=-2+(n-1)(-5)
4 0
4 years ago
A (-2,-5) is a glide reflection wear the translation is (x,y) is x+7,y and the line of reflection is y=2 what is A’
Leviafan [203]

Answer:

point A' is (5, 9)

Step-by-step explanation:

A (-2,-5) is a glide reflection wear the translation is (x,y) is x+7,y and the line of reflection is y=2

A is (-2,-5)

a glide reflection wear the translation is (x,y) is (x+7,y)

7 is added with x, so add 7 with x  value -2 on A(-2,-5)

(-2+7, -5)

(5,-5)

Reflection is y=2

So we need to find the difference of y values of point (5,-5) and y = 2

2-(-5) = 7

So we move 7 units up from y = 2. y=2+7 = 9

x value remains the same x=5

Hence point A' is (5, 9)


7 0
3 years ago
Question 4 of 10<br> Solve the triangle. Round your answers to the nearest tenth.
stiks02 [169]
Answer 4

Explain
4-1(2-3)=5
3 0
3 years ago
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