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3 years ago

What is the equation in point-slope form of the line that passes through the point (-4, 5) and has a slope of 23?

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

Answer:

The answer is

$\huge y - 5 = 23(x + 4) \\$

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the points are (-4, 5) and a slope of 23

We have the final answer as

$y - 5= 23(x + 4)$

Hope this helps you

algol133 years ago

5 0

Answer:

hi how r u

Step-by-step explanation:

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What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?<br> 3<br> 6<br> 112<br> 121

MAXImum [283]

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

= - (x² - 6x - 112) ← distribute by - 1

= - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

$x_{vertex}$ = - $\frac{6}{-2}$ = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

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3 years ago

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I'm so confused about this question for homework . Could you help me? The glee club has 120 cupcakes to sell. They have decided

Alecsey [184]

The number of rows is the length
the nuumber of collumns is the width

alrighty
length times widdth=total number of cupcaces

so we factor 120 to find odd and even pairs
120=1*2*2*2*3*5

so some even and odd pairs are
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those are all the possible pairs

so they can make 4 different arrangements

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4 years ago

What is 4/6 x 5/6 = plz help i need to pass my math

sergejj [24]

Answer:

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Step-by-step explanation:

20/36=5/9

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3 years ago

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Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni

dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})$

It is provided that, Renee recognizes that 7 and $\frac{1}{7}$ are reciprocals, so she would like to find their product before she multiplies by $\frac{13}{29}$ .