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4 years ago

HELP I WILL GIVE BRAINLIEST

Mathematics

1 answer:

marissa [1.9K]4 years ago

5 0

Explanation:

Statements are numbered; reasons are in italics.

1. ABCD is a parallelogram with AB≅CD and BC≅AD. <em>Given; definition of a parallelogram</em>.

2. Diagonal AC ≅ diagonal CA. <em>Reflexive property of congruence</em>.

3. ΔABC ≅ ΔCDA. <em>SSS congruence postulate</em>.

4. ∠B ≅ ∠D. <em>CPCTC</em>. (Opposite angles B and D are congruent.)

5. Diagonal BD ≅ diagonal DB. <em>Reflexive property of congruence</em>.

6. ΔABD ≅ ΔCDB. <em>SSS congruence postulate</em>.

7. ∠A ≅ ∠C. <em>CPCTC</em>. (Opposite angles A and C are congruent.)

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state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Aloiza [94]

The domain of the graph is -∝ < x < ∝ and the range of the graph is y > -2. Also, the symmetry is x = -3

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

However, the minimum y value is -2 and it increases from there

So, the range of the graph is y > -2

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -1 and -5
y-intercept = 1

<h3>Relative max and relative mins points and values, </h3>

The graph has no relative maximum and the relative minimum is (-3, 2)

<h3>Intervals of increase and decrease</h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (-3, ∝)
Decreasing interval: (-∝, -3)

<h3>Intervals of positive and negative</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-∝, -5) and (1, ∝)
Negative interval: (-5, -1)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the symmetry is x = -3

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

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2 years ago

A tree casts a shadow 12 meters long , while a bush nearby casts a shadow 3.5 meters long. If the tree is 3.2 meters tall, how t

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X = height of bush
12/3.5 = 3.2/x [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
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The height of the bush is 0.93 meters.
Best of luck.

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Answer:

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3 years ago

I need help on this problem in math

S_A_V [24]

Answer:

correct answer is C
Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

$\dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}$

Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

_____

<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

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2 years ago