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3 years ago

Which equation has roots whose sum is 3 and whose product is -4?

Mathematics

1 answer:

JulsSmile [24]3 years ago

8 0

Answer:

Step-by-step explanation:

Equation: x² - (sum of roots)x + product of roots = 0

x² - 3x + (-4) = 0

x² - 3x - 4 = 0

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Point C is on line segment \overline{BD} BD . Given BC=x+4,BC=x+4, CD=5x,CD=5x, and BD=5x+7,BD=5x+7, determine the numerical len

aleksandrvk [35]

Answer:

$CD = 15$

Step-by-step explanation:

Given

$BC = x + 4$

$CD = 5x$

$BD = 5x + 7$

Required

Determine CD

Since Point C is on segment BD, then we have

$BD = BC + CD$

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

$5x + 7 = x + 4 + 5x$

Collect Like Terms

$5x - 5x - x = 4 - 7$

$- x = -3$

Multiply both sides by -1

$x = 3$

Substitute 3 for x in $CD = 5x$

$CD = 5(3)$

$CD = 15$

<em>Hence, the length of CD is 15 units</em>

6 0

3 years ago

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Writing in Math Ch 1.3 Word Problem

Mumz [18]

Answer:

how much is everything.

4 0

3 years ago

Find the circumference of the circle. Round to the nearest hundredth.<br> Diameter<br> 7 mm

garri49 [273]

Answer:

C=21.99mm

Step-by-step explanation:Hope this helps!

3 0

3 years ago

Part A: Find the LCM of 5 and 12. Show your work. (3 points)

amm1812

Answer:

part a:60 part b:9

Step-by-step explanation:

part a:

5,10,15,20,25,30,35,40,45,50,55,60,65

12,24,36,48,60

60 is the lowest number that's common in both

part b:

72=2×2×2×3×3×8

81=3×3×3×3

group the common ones so 2 pairs of 3 and 3's cancel out .

so 3 times 3 is 9

i dont know part c =(

6 0

3 years ago

A rectangle has corners E, F, G, D, starting from top left and going clockwise. Point H is halfway between E and F. 2 lines are

Minchanka [31]

Answer:

Angle EDH = 50°

Step-by-step explanation:

The picture above is the rectangle formed from the illustration above. The angle EDH is given as 5x° and angle HDG is given as 4x° . The angles EDG and FGD are right angles . That means both angles are equivalent to 90° .

Angle EDH = 5x°

Angle HDG = 4x°

Angle EDG = 90°

Therefore,

5x + 4x = 90

9x = 90

divide both sides by 9

x = 90/9

x = 10°

Angle EDH = 5x = 5 × 10 = 50°

8 0

4 years ago

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