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3 years ago

Which of the following is the equation of the quadratic function below?

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

A. y = x² - 9x + 18

Step-by-step explanation:

The key thing to look for in this graph is the <u>y-intercept</u> (where the graph will hit the y-axis).

We can't see exactly where y-intercept is, but we know it is a positive number.

In a standard form quadratic equation:

'<em>c</em>' tells you what the y-intercept is.

The choices with positive y-intercept are <u>A</u> and <u>B</u>.

Again, we can't see exactly where y-intercept is, but we know it is not 1.

y = x² - 9x + 18

has a positive y-intercept that is not 1,

thus the answer is A.

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2 points

natima [27]

Answer:

4.9 feet

Step-by-step explanation:

First, we need to determine the height of the building using the following:

$L^2 = H^2 + B^2$

Where

H = Height of the building

L = Length of the first ladder = 20ft

B = Distance from the base of the building = 10ft

So, we have:

$20^2 = H^2 + 10^2$

$400 = H^2 + 100$

$H^2 = 400 - 100$

$H^2 = 300$

$H = \sqrt{300$

Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:

$L_2^2 = H^2 + B_2^2$

Where

$L_2 = 18$ --- Length of the second ladder

$H = \sqrt{300$ ----- Height of the building

So, we have:

$18^2 = \sqrt{300}^2 + B_2^2$

$324 = 300 + B_2^2$

$B^2_2 = 324 - 300$

$B^2_2 = 24$

Solving for B2, we have:

$B_2 = \sqrt{24$

$B_2 = 4.9$

8 0

3 years ago

the scale on a map se oanchows 5 centimeters equals 2 kilometers what nuumber of centimeters on the map represents an actual dis

Igoryamba

12.5 cm equals 5 km.

8 0

3 years ago

Write the number in standard form as a decimal

pishuonlain [190]

Answer:

Step-by-step explanation:

<h2>I hope it will help you</h2><h2>please make me brainlest</h2>

<h2><u>THANK</u><u> U</u></h2>

5 0

3 years ago

Oliva is throwing a party, and she wants to invite 25 people. She wants to bake cupcakes for dessert. The recipe has a serving s

Vladimir [108]

She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first

flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour

baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder

salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt

butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter

sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar

eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs

vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract

milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk

for 25 servings
she needs

3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk

4 0

3 years ago

Solving quadratic equations by factoring <br> m(m-3)=0

KatRina [158]

Because it has already been factored, we can solve it straight away. Now, since m is a variable, we yield the same result if m = 0 or m = 3 because we have two components to this equation.

We can either have m = 0 or m - 3 = 0
Hence, m is either 0 or 3

6 0

3 years ago