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3 years ago

What are the zeros of this function? g(x) = 2(x + 2)(x-9)

Mathematics

2 answers:

Marrrta [24]3 years ago

7 0

Answer:

-2, 9

Step-by-step explanation:

2(x+2)(x-9) = 0

x = -2, 9

Vitek1552 [10]3 years ago

4 0

Answer: -2 and 9

Step-by-step explanation:

Zeros are the numerical values that will make the value of a function 0.

To make g(x) equal 0, 2(x+2)(x-9) must equal 0.

That means that one of the three factors (2, (x+2), or (x-9)) must have a value of 0, because if 0 is multiplied by the rest, the result with always be 0.

2 cannot equal 0.

If (x+2)=0, x=-2

If (x-9)=0, x=9

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Give statements and reasons

PolarNik [594]

Answer:

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB ║ DE, BD bisects AE ${}$ Given

2. ∠BAE = ∠AED, ∠ABD = ∠BDA ${}$ Alternate ∠s are equal

3. $\overline {AC}$ = $\overline {EC}$ , $\overline {BC}$ = $\overline {CD}$ ${}$ ${}$ By definition of bisection of line AE by BD

4. ΔABC ≅ ΔEDC ${}$ By SAA, rule of congruency

Step-by-step explanation:

Step 1. AB ║ DE, BD bisects AE ${}$ Given

Step 2. ∠BAE , ∠AED, and ∠ABD, ∠BDA ${}$ are pairs of alternate angles formed by the parallel lines, AB and DE and are therefore, equal

Step 3. $\overline {AC}$ = $\overline {EC}$ , $\overline {BC}$ = $\overline {CD}$ The bisection of line gives two lines of equal length. The bisection of AE by BD gives, $\overline {AC}$ and $\overline {EC}$ where $\overline {AC}$ = $\overline {EC}$

Similarly, the bisection of BD by AE gives, $\overline {BC}$ and $\overline {CD}$ , where $\overline {BC}$ = $\overline {CD}$

Step 4. ΔABC ≅ ΔEDC ${}$ By the Side-Angle-Angle (SAA), rule of congruency, which states that two triangles having two angles and the corresponding non included sides of each triangle equal to the other, the two triangles are congruent.

6 0

3 years ago

You’re rectangular 12 feet long and 8 feet wide. Your friend’s rectangular vegetable garden 50 feet long and 10 feet wide are th

igor_vitrenko [27]

Answer:

Step-by-step explanation:

For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.

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3 years ago

Read 2 more answers

to angie's ladder was 22 feet tall above the ground lying against the wall of her house.the base of the ladder was 5 feet tall.w

Talja [164]

Answer:

Step-by-step explanation:

Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.

You can now use the pythagorean theorem with the sides to fill in the other side:

a^2+ b^2= c^2

5^2 + b^2= 22^2

25+b^2=484

b^2= 459

b=21.42

Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.

Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

(-5,0) and (0, 21.42)

(x1, y1) and (x2, y2)

slope= (y2-y1)/(x2-x1)

slope= (21.42-0)/ (0-(-5)) ---- becomes positive

slope= 4.284

(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)

Hopefully that answers your question!