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Aleonysh [2.5K]
3 years ago
15

" class="latex-formula">
square roots
solution​
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
Root of 49

Solutions are 7 and -7

We know that 7 is the square root of 49.

A negative number multiplied by itself gives positive
So -7 is also a square root of 49
You might be interested in
Add 3 feet 6 in add 3 feet 6 in + 8 ft 2 in + 4in + 2ft 5in what does that add up to ​
Troyanec [42]

Answer:

173 inches

Step-by-step explanation:

i don't entirely understand the question but i think you're trying to add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches?

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

<em>i've added these parentheses in order to make it easier to see the grouped measurements. this isn't necessary but i'm just doing it to hopefully aid my explanation since there's so many terms in the expression!</em>

<em />

start by converting everything to inches just to make the addition as well as showing your work easier. all you have to do is multiply the amount of feet by 12 because there are 12 inches in a foot! :)

<u>(3 feet 6 inches)</u><u> + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

for your first measurement, <u>3 feet 6 inches</u>, convert 3 feet to inches by multiplying the amount of feet, 3, by 12.

3(12) = 36<em> (therefore 3 feet is equal to 36 inches!)</em>

and add the remaining 6 inches.

36 + 6 = 42 <em>(therefore 3 feet 6 inches is equal to 42 inches!)</em>

<em />

<u>(3 feet 6 inches) + </u><u>(8 feet 2 inches)</u><u> + (4 inches) + (2 feet 5 inches)</u>

for your second measurement, <u>8 feet 2 inches</u>, convert 8 feet to inches by multiplying the amount of feet, 8, by 12.

8(12) = 96 <em>(therefore 8 feet is equal to 96 inches!)</em>

and add the remaining 2 inches.

96 + 2 = 98 <em>(therefore 8 feet 2 inches is equal to 98 inches!)</em>

<u>(3 feet 6 inches) + (8 feet 2 inches) + </u><u>(4 inches)</u><u> + (2 feet 5 inches)</u>

nothing needs to be done to this quantity since it's already in inches.

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + </u><u>(2 feet 5 inches)</u>

for your fourth measurement, <u>2 feet 5 inches</u>, convert 2 feet to inches by multiplying the amount of feet, 2, by 12.

2(12) = 24 <em>(therefore 2 feet is equal to 24 inches!)</em>

and add the remaining 5 inches.

24 + 5 = 29 <em>(therefore 2 feet 5 inches is equal to 29 inches!)</em>

now, here is the expression with everything in inches.

<u>42 inches + 98 inches + 4 inches + 29 inches</u> <em>aka</em> <u>42 + 98 + 4 + 29</u>

<u />

now add everything up!

42 + 98 + 4 + 29 = 173 inches

your total is 173 inches! i hope this helps and i hope i explained it well enough. have a lovely day! <3

5 0
3 years ago
Thomas wanted to measure the width of the pond so he set up triangles as shown in the diagram. He claims the two triangles are s
n200080 [17]

Answer:

  • 156 ft

Step-by-step explanation:

<u>As per similarity, the ratios of corresponding sides are same:</u>

  • x/120 = 65/50
  • x = 120*65/50
  • x = 156 ft
8 0
3 years ago
Read 2 more answers
These 3 questions pleaseeee!
Sergio039 [100]

Answer:

1. m<T =72 , m<U =54

2. EF= 18 in. , m<F=134'

3. x=4

Step-by-step explanation:

1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T

180 - 54 - 54 = 72

2. ef = gf

180 - 23 - 23 = 134

3. since bottom 2 angles are = , the 2 sides are also =

see attachment for work

5 0
3 years ago
The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.
Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7

4 0
3 years ago
Which is the graph of f(x) = StartRoot x EndRoot?
shusha [124]

Answer:

The 4th graph

Step-by-step explanation:

To determine which graph corresponds to the f(x) = \sqrt{x}   we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.

f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3

So, we can see that the pairs (1, 1), (2, 1.41), (4, 2), (3, 9) correspond to the fourth graph.

Do not be confused with the third graph - you can see that on the third graph there are also negative y values, which cannot be the case with the f(x) =\sqrt{x}, the range of that function is [0, \infty>,   so there are only positive y values for f(x) = \sqrt{x}

6 0
3 years ago
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