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3 years ago

Congruent segments have the same________ Fill in the blank.

Mathematics

1 answer:

vodomira [7]3 years ago

4 0

Length or measurement

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago

Equation: <img src="https://tex.z-dn.net/?f=5%20%2B%205%20%3D%205x%20%2B%205%20-%202" id="TexFormula1" title="5 + 5 = 5x + 5

dem82 [27]

Answer:

x = $\frac{7}{5}$

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3 - 3 (subtract 3 from both sides to isolate x)

7 = 5x

÷5 ÷5 (divide both sides by 5 to find "1"x)

$\frac{7}{5}=x$

So, x = $\frac{7}{5}$

(x = 7/5)

hope this helps!!

7 0

2 years ago

Read 2 more answers

An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered.

stellarik [79]

Answer:

cool

Step-by-step explanation:

8 0

3 years ago

I need help on saxon math algebra 1 lessons 36-40 can you please help me ,

saul85 [17]

36-40= -4
36 subtracted by 40 equals negative 4
-4

7 0

3 years ago

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60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys

nadezda [96]

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▹ Answer

$\frac{29}{47} * 100$

▹ Step-by-Step Explanation

29 + 18 = 47 → 29/47

Total boys → 100

29/47 * 100

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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8 0

3 years ago