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3 years ago

H(x) = x - 10 SA What is the domain of h?

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

7 0

Answer:

h.56

Step-by-step explanation:

jasenka [17]3 years ago

7 0

It’s 56 Have Ah Good Day

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HELP ME Write and solve a proportion to find y.

Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

$d'\propto d$

$d'=kd$

$\dfrac{d'}{d}=k$

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

$k=\dfrac{OB'}{OB}$

$k=\dfrac{36}{16}$

$k=\dfrac{9}{4}$

We know that,

$k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}$

$\dfrac{9}{4}=\dfrac{A'C'}{AC}$

$\dfrac{9}{4}=\dfrac{27}{y}$

$9\times y=27\times 4$

Divide both sides by 9.

$y=\dfrac{27\times 4}{9}$

$y=3\times 4$

$y=12$

Therefore, the value of y is 12.

6 0

3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

2 years ago

LUCKY_DIMON [66]

Answer: 7/24

Step-by-step explanation:

11/8 - 5/8=

= 11/8 - 5/8

= 11/12 + -5/8

= 22/24 + -15/24

= 22 + -15/<u>/24</u>

= 7/24

decimal form = 0.291667.

7 0

3 years ago

Hey could someone helpp me pls

Minchanka [31]

Answer: $5.54

Step-by-step explanation: 63 divided by 100 is 0.63, 0.63 x 8.8 is 5.544 and 5.544 rounded to the nearest cent is $5.54

5 0

2 years ago

Need help best answer gets brainliest

grin007 [14]

288 I’m pretty sure lol

3 0

3 years ago

Read 2 more answers