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3 years ago

10

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. What is this function wr

itten in vertex form?

1 answer:

Black_prince [1.1K]3 years ago

8 0

The vertex form is f(x)=(x+1)^2 +2

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A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25

zzz [600]

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

6 0

3 years ago

3. In August, Cory begins school shopping for his triplet daughters. One day, he

Ksju [112]

$d=37\$

<u>Step-by-step explanation:</u>

Here , we have In August, Cory begins school shopping for his triplet daughters. One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for d dollars each. He spent a total of $135.97. We need to find What does d equal . Let's find out:

One day, he bought 10 pairs of socks for $2.50 each

Following is the equation for this info:

⇒ $Money = 10(2.50)$

⇒ $Money = 25\$

3 pairs of shoes for d dollars each

Following is the equation for this info:

⇒ $Money = 3(d)$

⇒ $Money = 3d\$

He spent a total of $135.97

Following is the equation for this info:

⇒ $Total-Money = 135.97$

⇒ $25+3d=135.97$

⇒ $3d=135.97-25$

⇒ $d=37\$

Therefore , $d=37\$ .

3 0

3 years ago

How can division be represented by using a fraction

Ainat [17]

The dividend on top (the number that's being divided) then / and the divisor on the bottom (numbers that's dividing the other). Example 20 divided by 5. Would be 20/5. Ask anytime;)

3 0

3 years ago

Read 2 more answers

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long

Lelu [443]

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

6 0

3 years ago

Kiara found the solution for the inequality, 3.2 <-9.5 + x.

Yuri [45]

Kiara did pretty good, but she misinterpreted the final inequality. if 12.7<x that means that x is larger than 12.7. So she should have shaded the number line to the right in stead of to the left. So D is the answer.

3 0

3 years ago

Read 2 more answers