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2 years ago

Please answer number 1.

Mathematics

1 answer:

Aneli [31]2 years ago

7 0

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

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How do I find the equivalent

satela [25.4K]

The equivalent to that is 8.

7 0

3 years ago

what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe

djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = $\dfrac{ - 1}{m}$

Or, M = $\dfrac{ - 1}{1}$

∴ M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - $y_1$ = M × (x - $x_1$ )

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 . Answer

5 0

3 years ago

Which value represents the horizontal translation from the graph of the parent function f(x) = x^2 to the graph of the function

Vsevolod [243]

Translation by h (right) and k (up)
g(x)=f(x-h)+k
=f(x-4)^2+2
so h=4, k=2
horizontal translation (to the right) is h=+4, but is shown as -4 for the translation value.

7 0

2 years ago

Please answer this in two minutes

tigry1 [53]

Answer:

x = 16

Step-by-step explanation:

The figure shown shows an inscribed angle F and central angle E. Both angles intercept the same arc.

Therefore, angle E is twice the measure of angle F, according to the central angle theorem of a circle.

Thus,

m<E = 2 * m<F

(x + 94)° = 2(55)

We can find the value of x with this equation.

x + 94 = 110

Subtract 94 from both sides

x = 110 - 94

x = 16

8 0

3 years ago

Andre says that 5 3/4 + 2 1/4 = 7 1/2 because 7 4/8 = 7 1/2. Identify his mistake. Draw a picture to prove that he is wrong.

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

The given expression is

$5\frac{3}{4}+2\frac{1}{4} =7\frac{4}{8}=7\frac{1}{2}$

We will rewrite the expression

$\frac{23}{4}+\frac{9}{4} =\frac{60}{8}=7\frac{1}{2}$

When we add the fraction

$\frac{23+9}{4}$ = $\frac{32}{4}$ = 8

While Andre says the answer is $7\frac{1}{2}$

because Andre added the denominator where he has to make a common denominator that should be 4 instead of 8.

Andre made mistake in this step

Picture is given below :

3 0

3 years ago