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jonny [76]
1 year ago
5

Nancy found that x=1 is one solution to the quadratic eqaution (x+2)2=a.What is the Value of a ?

Mathematics
2 answers:
horrorfan [7]1 year ago
8 0
Insert 1 into your equation (1+2)2=a  1+2=3 and 3X2=6 so therefore a=6
 
coldgirl [10]1 year ago
6 0
<span>(x + 2)</span>·<span>2 = a

(1 + 2)</span>·2 = a

3·2 = a

a = 6
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I found a similar problem with its corresponding figure. It shows a recycling bin whose length is 1/2 meters, width is 1/2 meters, and height is 1/2 meters.

Based on the measure, the bin is a cube. Its volume formula is s³.

V = (1/2 m)³
V = 1/2 m * 1/2 m * 1/2 m
V = 1/8 m³

V = 0.5 m * 0.5m * 0.5m = 0.125 m³
0.125m³ =  1/8 m³

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If CDEF ≅ MNPQ, then ≅ DE ≅
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Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a
Keith_Richards [23]

Answer:

A(t)=−1.8t−4.5

Step-by-step explanation:

Mr. Mole is descending at a constant rate, so we are dealing with a linear relationship.

We know that Mr. Mole descended at a rate of 1.81.81, point, 8 meters per minute, so the slope \green mmstart color green, m, end color green is \green{-1.8}−1.8start color green, minus, 1, point, 8, end color green, and our function looks like A(t)=\green{-1.8}t+\pink bA(t)=−1.8t+bA, left parenthesis, t, right parenthesis, equals, start color green, minus, 1, point, 8, end color green, t, plus, start color pink, b, end color pink.

We also know that after 555 minutes, Mr. Mole was 13.513.513, point, 5 meters below the ground, which means that A(5)=-13.5A(5)=−13.5A, left parenthesis, 5, right parenthesis, equals, minus, 13, point, 5. We can substitute this into the formula of the function to find \pink bbstart color pink, b, end color pink:

\qquad\begin{aligned}A(5)&=-13.5\\ \green{-1.8}\cdot5+\pink b&=-13.5\\ -9+\pink b&=-13.5\\ \pink b&=\pink{-4.5}\end{aligned}  

A(5)

−1.8⋅5+b

−9+b

b

​    

=−13.5

=−13.5

=−13.5

=−4.5

​  

This means that Mr. Mole's initial altitude is 4.54.54, point, 5 meters below the ground.

AKA the answer is A(t)=−1.8t−4.5

3 0
2 years ago
Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av
Brrunno [24]

The answer is 6(0.65-t)

3 0
2 years ago
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In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear
professor190 [17]

Answer:

r(t)=100,000t+600,000

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2,000,000-1,000,000}{14-4}

m=\frac{1,000,000}{10}

m=100,000\frac{readers}{year}

step 2

Find the equation of the line in point slope form

r-r1=m(t-t1)

we have

m=100,000\\point\ (4,1,000,000)

substitute

r-1,000,000=100,000(t-4)

step 3

Convert to slope intercept form

r=mt+b

isolate the variable r

r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000

step 4

Convert to function notation

r(t)=100,000t+600,000

6 0
1 year ago
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