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3 years ago

Write the inequality shown in the graph below:

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

$y\:$

Step-by-step explanation:

First we need to determine the equation of the boundary line.

The line has y-intercept of c=7 and slope $m=-2$ .

The slope is given by y=mx+c.

We substitute the slope and intercept to get:

$y=-2x+7$ .

Since the lower half plane is shaded, with the boundary being a dashed line, the required inequality is $y\:$

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3 years ago

In the diagram below, if < A = 97 °, < B = 46 °, < D = 97 ° and < F = 37 °, we can say that

sdas [7]

Answer:

(a) The two triangles are similar by AA

Step-by-step explanation:

Similar triangles have congruent corresponding angles and proportional corresponding side lengths.

<h3>Third angle</h3>

The third angle in triangle ABC is found using the fact that the sum of angles is 180°.

∠C = 180° -∠A -∠B

∠C = 180° -97° -46° = 37°

Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...

∠A = ∠D = 97°

∠C = ∠F = 37°

The two triangles are similar by AA.

<em>Additional comment</em>

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8 0

2 years ago

Rationalise the denominator.

grin007 [14]

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

$(5 -\sqrt{2})$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

$(a + b)(a - b) = {a}^{2} - {b}^{2} \\$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$\frac{1}{ 5-\sqrt{2} } \times \frac{ 5+\sqrt{2} }{ 5 +\sqrt{2} } = \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2}) } = \\$

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0

3 years ago