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2 years ago

What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?

Mathematics

1 answer:

ivolga24 [154]2 years ago

4 0

Answer:

y-1= -4(x-(-3))

y minus 1 = negative 4 left-bracket x minus (negative 3) right-bracket

Step-by-step explanation:

The formula for point slope form is written: $y-y_{1} = m(x-x_{1})$ . Now we fill in our know information. m=-4 (because that is the slope), $y_{1}$ =1 (It is the y value in the ordered pair), $x_{1}$ = -3 (It is the x value in the ordered pair).

y-1=-4(x- (-3))

You might be interested in

Cuál es el resultado de |-15| x (-5)

notka56 [123]

Answer:

$\frac{15}{x^5}$

Step-by-step explanation:

$\left|-15\right|x^{-5}$

Step 1: Apply exponent rule: $\:a^{-b}=\frac{1}{a^b}$

$=\left|-15\right|\frac{1}{x^5}$

Step 2: Multiply fractions: $a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{1\cdot \left|-15\right|}{x^5}$

Step 3: Simplify

$=\frac{15}{x^5}$

The result is $=\frac{15}{x^5}$

<u>Spanish/Espanól</u>

Respuesta:

$\frac{15}{x^5}$

Explicación paso a paso:

$\left|-15\right|x^{-5}$

Paso 1: aplique la regla del exponente: $\:a^{-b}=\frac{1}{a^b}$

$=\left|-15\right|\frac{1}{x^5}$

Paso 2: multiplica fracciones: $a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{1\cdot \left|-15\right|}{x^5}$

Paso 3: simplifica

$=\frac{15}{x^5}$

El resultado es $=\frac{15}{x^5}$

7 0

2 years ago

Four bagels and eight muffins cost $16. Six bagels and five muffins cost $13.50 How much does a bagel cost? How much does a muff

Ivahew [28]

Answer:

Your friend is here to help you it's me nick okay the answer is sorry I forgot I'm just a stupid girl who knows nothing I'm sorry nick[cries] I tried but I forgot

Step-by-step explanation:

6 0

3 years ago

part 2 : A local pizzeria sold 72 pizzas yesterday. Suppose the actual number of pizzas sold was 77. Determine if the number of

svp [43]

Answer: 6.9% increase

Step-by-step explanation: original: 72

new: 77 5 x = 500 = 6.9%

72 100 72

8 0

2 years ago

Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan s

AURORKA [14]

Answer:

number of message sent by Scott is 23

number of message sent by Christine is 30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is x+7

It is also given that Milan sent 4 times as many messages as Scott

number of message sent by Milan is 4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus, 6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,

number of message sent by Scott is x = 23

number of message sent by Christine is x+7 = 23+7 = 30

number of message sent by Milan is 4x = 4*23 = 92

3 0

3 years ago

A farmer plans to enclose two adjacent rectangular pens against a barn wall (see figure).

Licemer1 [7]

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

160

−

The area of a rectangle is given by

, however here we have two rectangles put together, so the total area will be given by

(

−

)

−

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

(

)

−

Setting to 0:

−

Hence, the dimensions that will give the maximum area are

feet.

A graphical check of the initial function shows that the vertex is at

(

1066

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0

2 years ago