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Andrej [43]
3 years ago
6

Need help with 7,8,11,12 and the summary

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

1) 2

2) 4

11) 3.88

12) 0.01

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Negative five times a number, x, decreased by the product of two and the quantity of x increased by three is less than or equal
astra-53 [7]

Left Side

if x = a number

five times a number means 5 · a number = 5 · x

add a negative sign; -5·x

simplify; you don't need the multiplication symbol; -5x

minus 2·x = -2x

plus 3 = +3

-5n-2x+3

Sign

less than or equal to = ≤

Right Side

triple of x = 3·x = 3x

4 minus triple of x = 4-3x

4-3x

The final inequality is -5x-2x+3 ≤ 4-3x

♡ Hope this helps! ♡

❀ 0ranges ❀

4 0
3 years ago
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1?
JulsSmile [24]
Alright,
directix is y=something so it opens down or up

we use
(x-h)²=4p(y-k)
the vertex is (h,k)
and p is distance from focus to vertex
if focus is above directix, p is positive
if focus is below directix, p is negative

so we gts

focus=(1,1)
directix is y=-1
1>-1
focus is above

oh, vertex is in middle of focus and directix
so
beteeen (1,1) and y=-1 is, hmm
that is a distance of 2 vertically
2/2=1
1 down from (1,1) is (1,0)
vertex is (1,0)
p=1

so
(x-1)²=4(1)(y-0)
solving for y to get into f(x)=something form
(x-1)²=4y
y=1/4(x-1)²
f(x)=1/4(x-1)²

4th option
6 0
3 years ago
Please help me please I can't figure this out!!!!!
Lena [83]
Um...thats a tough one... well first you have to put the formula together  which is pi(10)(26)+pi(10)^2 multiply 10 times 26 then 10 times ten giving us a much more easier equation 260pi + 100pi. we can cross off answer A and answer C just by looking at the simplified equation. now add the two together, giving us 360pi inches^2
4 0
3 years ago
Please help my son asked me for this and I don't understand it.
Tasya [4]

Answer:

y = 2x + 3

Step-by-step explanation:

In the slope-intercept form of the equation of a line,

y = mx + b,

m = slope, and b = y-intercept.

Let's look at Adriana's equation and understand the parts:

y = 2x + 4

y = mx + b

m = slope = 2; b = y-intercept = 4

Now let's look at the description of Henry's equation.

He has the same slope as Adriana, so for Henry, m = 2 also.

His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.

Now that we know that for Henry, m = 2, and b = 3, we can write his equation.

y = mx + b

y = 2x + 3

Answer: y = 2x + 3

7 0
2 years ago
Read 2 more answers
Find sin 2a and cot 2a:
geniusboy [140]

Answer:

sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}

Step-by-step explanation:

\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\

sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}

8 0
3 years ago
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