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Damm [24]
1 year ago
8

What is w equivalent to 7w-6=3(w+4) + 4w

Mathematics
1 answer:
DochEvi [55]1 year ago
5 0

Answer:

w is undefined, no solutions.

Step-by-step explanation:

7w - 6 = 3(w + 4) + 4w

7w - 6 = 3w + 12 + 4w

7w - 6 = 7w + 12

-6 = 12

w is undefined, no solutions.

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Mrs. Thomson went shopping and her total was $94.30. What will Mrs. Thomson's total be after the 30% discount?
Katena32 [7]

Answer:

$66.01

Step-by-step explanation:

8 0
2 years ago
What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?
malfutka [58]

Answer:

6.

Step-by-step explanation:

A line that goes through (x_{0},\, y_{0}) and (x_{1},\, y_{1}) where x_{0} \ne x_{1} would have a slope of m = (x_{1} - x_{0}) / (y_{1} - y_{0}).

The slope of the line that goes through (8,\, 4) and (-1,\, 1) would thus be:

\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}.

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is (-1).

Thus, if m_{1} and m_{2} denote the slope of the first and second lines in this question, m_{1}\, m_{2} = (-1) since the two lines are perpendicular to one another. Since m_{2} = (1/3), the slope of the first line would be:

\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}.

Given that the first line goes through the point (1,\, 0), the point-slope equation of that line would be:

(y - 0) = (-3)\, (x - 1).

y = -3\, x + 3.

Substitute in x = (-1) to find the y-coordinate of the point in question:

y = -3\times  (-1) + 3 = 6.

4 0
2 years ago
Help me PLEASE NO LINKSSSSSSS
Stella [2.4K]

Answer:

D

Step-by-step explanation:

The perimeter of answer A is 6+6+8+8 which is 12+16=28

The perimeter of answer B is 7+7+7+7 which is 28

The perimeter of answer C is 7+7+6+6 which is 14+12=26

The perimeter of answer D is 9+9+6+6 which is 18+12 which is 30

5 0
3 years ago
The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.
inna [77]
Given that the difference between the roots of the equation 3x^2+bx+10=0 is 4 \frac{1}{3} = \frac{13}{3}.

Recall that the sum of roots of a quadratic equation is given by - \frac{b}{a}.

Let the two roots of the equation be \alpha and \alpha + \frac{13}{3}, then 

\alpha + \alpha + \frac{13}{3} =2 \alpha + \frac{13}{3} =- \frac{b}{a} =- \frac{b}{3}  \\  \\ i.e.\ \ 2 \alpha + \frac{13}{3}=- \frac{b}{3} . . . (1)

Also recall that the product of the two roots of a quadratic equation is given by \frac{c}{a}, thus:

\alpha \left( \alpha + \frac{13}{3} \right)= \alpha ^2+ \frac{13}{3} \alpha = \frac{c}{a} = \frac{10}{3}  \\  \\ i.e.\ \ \alpha ^2+ \frac{13}{3} \alpha=\frac{10}{3} . . . (2)

From (1), we have:

2 \alpha =- \frac{b}{3} - \frac{13}{3}  \\  \\ \Rightarrow \alpha =- \frac{b}{6} - \frac{13}{6}

Substituting for alpha into (2), gives:

\left(- \frac{b}{6} - \frac{13}{6}\right)^2+ \frac{13}{3} \left(- \frac{b}{6} - \frac{13}{6}\right)= \frac{10}{3}  \\  \\ \Rightarrow \frac{b^2}{36} + \frac{13b}{18} + \frac{169}{36} - \frac{13b}{18} - \frac{169}{18} = \frac{10}{3}  \\  \\ \Rightarrow \frac{b^2}{36} - \frac{289}{36} =0 \\  \\ \Rightarrow \frac{b^2}{36} = \frac{289}{36}  \\  \\ \Rightarrow b^2=289 \\  \\ \Rightarrow b=\pm\sqrt{289}=\pm17
5 0
3 years ago
चुनाव आयोग के कार्यों को लिखिए।​
AVprozaik [17]

Answer:

भारत निर्वाचन आयोग (अंग्रेज़ी: Election Commission of India) एक स्वायत्त एवं अर्ध-न्यायिक संस्थान है जिसका गठन भारत में स्वतंत्र एवं निष्पक्ष रूप से विभिन्न से भारत के प्रातिनिधिक संस्थानों में प्रतिनिधि चुनने के लिए किया गया था। भारतीय चुनाव आयोग की स्थापना 25 जनवरी 1950 को की गयी थी।

7 0
2 years ago
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