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FrozenT [24]
3 years ago
15

Give the following equation in point slopr form, what is the slope of the line?

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

Slope= 3

Step-by-step explanation:

y - 4= 3(x+6)

y - 4= 3x + 18   distributive property

y - 4(+4) = 3x + 18(+4)  

cancel out the 4 with its oposite and apply to both sides.

y = 3x + 22   final answer

Remember the slope intersept equation... y=mx+b

m is slope

b means the y-intersept.

So the final slope of the line is 3. (demostrated by graph below)

<em>Program for graph: Desmos</em>

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angle a and angle b are supplementary angles. if m angle a = (7x+14)° and m angle b =( 5x-26)°, then find the measure of angle b
Allisa [31]

Answer: 54 degrees

Step-by-step explanation:

8 0
2 years ago
A polynomial function has a root of -4 with multiplicity of 4, a root of -1 with multiplicity of 3, and a root of 5 with multipl
Dmitrij [34]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


Root -1 has odd multiplicity of 3 so crosses through.


Root 5 has even multiplicity of 6 so it only touches and does not cross through.


Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.


To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

7 0
3 years ago
Read 2 more answers
Write the equation in slope intercept form.
astraxan [27]

\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

5 0
3 years ago
Read 2 more answers
a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area
Orlov [11]

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

===============

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

3 0
3 years ago
Given h(x) = -x+5, solve for x when h(x) =0
Vedmedyk [2.9K]

Answer:

x=1

Step-by-step explanation:

4 0
3 years ago
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