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Citrus2011 [14]

3 years ago

12

Ten percent of number equals 40 what is the number

1 answer:

Masteriza [31]3 years ago

7 0

400Let x = the number 10% of x = 400.10 x = 400.10x/0.10 = 40/0.10x = 400 check:10% of 400 = 400.10 * 400 = 4040=40

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a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard

Cerrena [4.2K]

The equation of the line in point-slope form is given by:
$y-yo = m (x-xo)
$
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{-5-(-9)}{10-9}$
Rewriting:
$m = \frac{-5+9}{10-9}$
$m = \frac{4}{1}$
$m=4$
Now we choose an ordered pair:
$(xo, yo) = (10, -5)
$
Substituting values we have:
$y-(-5)=4(x-10)$
$y+5=4(x-10)$
We now rewrite the equation in its standard form:
$y = mx + b
$
Where,
b: cut with the y axis.
We have then:
$y = 4x - 40 - 5

y = 4x - 45$
Answer:
point-slope form:
$y+5=4(x-10)$
or
$y+9=4(x-9)$
standard form
$y = 4x- 45$

3 0

3 years ago

The place value of 9 0.496

Vesna [10]

The place value of 9 in 0.496 is hundredths place.

8 0

3 years ago

Read 2 more answers

We are learning about angle

neonofarm [45]

Answer:

Step-by-step explanation:

If you cut the square apart along a diagonal, you'll then have two isosceles triangles. Each such triangle will have 3 sides and 3 angles.

Next time, please type in a more descriptive title for your question.

7 0

3 years ago

The sum of two numbers is -6. The difference is 16. Find the two numbers.

Bess [88]

Answer:

$-5\:\mathrm{and}\: 11$

Step-by-step explanation:

We can write the following system of equations:

$\begin{cases}x+y=6\\x-y=16\\\end{cases}$

Adding both equations together, we isolate $x$ and get:

$2x=22,\: x=11$

Plugging $x=11$ in any of the equations, we can solve for $y$ :

$11+y=6,\: y=-5$

Verify that the solution pair $(11, -5)$ works $\checkmark$

Therefore, the two numbers are $\fbox{$-5\:\mathrm{and}\: 11$}$ .

7 0

3 years ago

More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh

Olin [163]

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = $\int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx$

= $\int_{-1.34}^{1.34}(5x^{2}-9)dx$

= $[\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}$

= $[\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]$

= $[-4.01+12.06-4.01+12.06]$

= 16.1 unit²

6 0

3 years ago