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Nady [450]
2 years ago
11

What is the equation of the linear function in standard form that has a slope of -4 and a y-intercept of -5?

Mathematics
1 answer:
Anastaziya [24]2 years ago
6 0

Step-by-step explanation:

y-Intercept = (0 , -5)

Slope / m = -4

y - y1 = m(x - x1)

y + 5 = -4(x - 0)

y = -4x - 5 → Equation

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A 1414​-ft ladder leans against a wall at a point 55 feet above the ground. how far is the bottom of the ladder from the​ wall?
viva [34]
Assume ladder length is 14 ft and that the top end of the ladder is 5 feet above the ground.

Find the distance the bottom of the ladder is from the base of the wall.

Picture a right triangle with hypotenuse 14 feet and that the side opposite the angle is h.  Then sin theta = h / 14, or theta = arcsin 5/14.  theta is

0.365 radian.  Then the dist. of the bot. of the lad. from the base of the wall is 

14cos theta = 14cos 0.365 rad = 13.08 feet.  This does not seem reasonable; the ladder would fall if it were already that close to the ground.

Ensure that y ou have copied this problem accurately from the original.

7 0
3 years ago
5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is ___.
8_murik_8 [283]
Subtract these 2 equations,

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-5 is your answer.
6 0
4 years ago
Find the length of base PQ in the trapezoid.
iris [78.8K]

Answer:

PQ = 20

Step-by-step explanation:

Theorem:  The length of the median of a trapezoid is the average of the base lengths.

\frac{PQ + 12}{2}  = 16

PQ + 12 = 32

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See how easy that is if you know the theorem!

5 0
3 years ago
* TRUE or FALSE: The absolute value of an integer is ALWAYS a positive number.​
inn [45]

Answer:

TRUE

Step-by-step explanation:

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction. The absolute value of a number is always positive

3 0
3 years ago
A number increased by 10 is 114 answer in an equation
enyata [817]
We have to make an equation: a number increased by 10 is 114.
An equation is:
x + 10 = 114
x = 114 - 10
x = 104.

7 0
3 years ago
Read 2 more answers
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