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Westkost [7]
2 years ago
11

Be helpful please !

Mathematics
2 answers:
AysviL [449]2 years ago
7 0

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

CORRESPONDING ANGLES:

These are the angles in which one angle is interior to the first line and the second angle is exterior to the second line but both the angels lie on the same side of transversal.

kolbaska11 [484]2 years ago
3 0

Answer:

ANSWER: angle <1 = 140°

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The diameter of a circle measures 10 yd. What is the circumference of the circle?
crimeas [40]

Answer:

31.4 yards

Step-by-step explanation:

Radius (R) = d / 2

R = 10 / 2 = 5 yards

Circumference (C) = 2 π r

C = 2 * 3.14 * 5 yards

C = 31.4 yards

3 0
3 years ago
I need help with this
N76 [4]

Answer:

The x-intercepts are x = 1 , x = 2 , x = 3

The y-intercept is -6

Step-by-step explanation:

* Lets explain how to solve the problem

- To find the x-intercept of a function substitute f(x) by 0

- To find the y-intercept of a function substitute x by 0

- To find the factors of quadratic function use the long division

* Lets solve the problem

∵ f(x) = x³ - 6x² + 11x - 6

∵ (x - 3) is one of its factors

- Use the long division to find the other factors

∵ x³ - 6x² + 11x - 6 ⇒ dividend

∵ x - 3 ⇒ divisor

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ x³ ÷ x = x²

# Multiply x² by the divisor (x - 3)

∵ x²(x - 3) = x³ - 3x²

# subtract it from the dividend

∵ (x³ - 6x² + 11x - 6) - (x³ - 3x²) = (x³ - x³) + (-6x² + 3x²) +11x - 6

∴ The dividend is -3x² + 11x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ -3x² ÷ x = -3x

# Multiply -3x by the divisor (x - 3)

∴ -3x(x - 3) = -3x² + 9x

# subtract it from the dividend

∵ (-3x² + 11x - 6) - (-3x² + 9x) = (-3x² - 3x²) + (11x - 9x) - 6

∴ The dividend is 2x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ 2x ÷ x = 2

# Multiply 2 by the divisor (x - 3)

∴ 2(x - 3) = 2x - 6

# subtract it from the dividend

∴ (2x - 6) - (2x - 6) = (2x - 2x) + (-6 + 6) = 0

∴ (x³ - 6x² + 11x - 6) ÷ (x - 3) = x² - 3x + 2

∴ The factors of f(x) are (x - 3)( x² - 3x + 2)

- The factor (x² - 3x + 2) can factorize into two bracket

∵ The last term is positive and the middle term is negative than the

   two brackets have the middle sign (-)

∵ x × x = x² ⇒ 1st terms in the two brackets

∵ 2 × 1 = 2 ⇒ 2nd terms in the two brackets

∵ 2 × x = 2x

∵ 1 × x = x

∵ 2x + x = 3x

∴  (x² - 3x + 2) = (x - 2)(x - 1)

∴ f(x) = (x - 3)(x - 2)(x - 1)

- To find the x-intercept put f(x) = 0

∴ (x - 3)(x - 2)(x - 1) = 0

- That means each bracket = 0

∵ x - 3 = 0 ⇒ add 3 for both sides

∴ x = 3

∵ x - 2 = 0 ⇒ add 2 for both sides

∴ x = 2

∵ x - 1 = 0 ⇒ add 1 for both sides

∴ x = 1

∴ The x-intercepts are x = 1 , x = 2 , x = 3

- To find the y-intercept put x = 0

∵ f(x) = x³ - 6x² + 11x - 6

∵ x = 0

∴ f(0) = 0 - 0 + 0 - 6 = -6

∴ The y-intercept is -6

4 0
2 years ago
Can someone please help me with this!?
vichka [17]

Answer:

2(x - 5)

Step-by-step explanation:

2x - 10

\frac{2x}{2}  -  \frac{10}{2}

2(x - 5)

4 0
2 years ago
Can someone help me answer these two questions
andrew11 [14]

Answer:

C) 7=y=5x+11

B) m=-4/5, b=13/5

Step-by-step explanation:

<u>Problem 1:</u>

A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.

<u>Problem 2:</u>

Convert to slope-intercept form (y=mx+b):

4x+5y=13

5y=13-4x

y=13/5-4/5x

y=-4/5x+13/5

Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.

8 0
2 years ago
75 POINTS IF U GET THIS RIGHT !!!!!Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed
RUDIKE [14]

Answer:

In 2009

Step-by-step explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 * .6)

2006 = 36 % (60 * .6)

2007 = 21.6 % (36 * .6)

2008 = 12.96 % (21.6 * .6)

2009 = 7.776% (12.96 * .6)

This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.

I hope this helps! :D

8 0
2 years ago
Read 2 more answers
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