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3 years ago

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A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38)

(−5, −38) (5, 38) (5, −38)

1 answer:

Oxana [17]3 years ago

4 0

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

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100 PTS!! PLEASE HELP! OVER DUE

Reika [66]

Answer:

$-\frac{1}{2} \vec {c}$

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because $\frac{4}{4}=1=\frac{-2}{-2}$

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that $k \vec{c} = \vec {d}$ , or equivalently, $kc_x=d_x$ and $kc_y=d_y$ .

If $kc_x=d_x$ and $kc_y=d_y$ , we just need to substitute known values and solve for k:

$kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}$

Double checking that k works for the y-coordinates as well:

$kc_y=d_y$

$(-\frac{1}{2}) (4)$ ? $(-2)$

$-2=-2 \text{ } \checkmark$

So, $-\frac{1}{2} \vec {c} = \vec {d}$

6 0

2 years ago

What is the slope of a line perpendicular to the line whose equation is x−2y=12.

seraphim [82]

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

6 0

3 years ago

Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed number.

alexandr402 [8]

P is greater than 8/7

5 0

3 years ago

Read 2 more answers

Express each expression as a single logarithm.

andreev551 [17]

Answer:

1. 6

2. 23

Step-by-step explanation:

1.

logx+1 ( x^2 + 2x + 1)^3

= 3logx+1 ( x^2 + 2x + 1)

= 3 logx+1 (x + 1)^2

= 6 logx+1 (x + 1) Now the logx+1 x+1 = 1 so

The answer is 6.

2.

log11 11^23

= 23 log11 11

As in question 1 log11 11 = 1

So the answer is 23.

8 0

3 years ago

A florist sold 6 iris bouquets and 15 other bouquets yesterday. Based on past data, how many of the next 35 bouquets sold should

viktelen [127]

Answer:

We should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.

Step-by-step explanation:

Given;

Number of iris bouquets sold yesterday = 6

Number of other bouquets sold yesterday = 15

We need to find number of iris bouquets sold out of 35 bouquets sold.

Solution:

First we will find the percent of iris bouquet sold yesterday.

Now we know that;

Total bouquet sold yesterday is equal to sum of Number of iris bouquets sold yesterday and Number of other bouquets sold yesterday.

framing in equation form we get;

Total bouquet sold yesterday = $6+15 =21$

Now we can say that;

Percent of iris bouquet sold is equal to Number of iris bouquets sold yesterday divided by Total bouquet sold yesterday and then multiplied by 100

framing in equation form we get;

Percent of iris bouquet sold = $\frac{6}{21}\times 100 = 28.57\%$

Now based on this data we need to find number of iris bouquet sold when total bouquet sold is 35.

number of iris bouquet = $\frac{28.57}{100}\times 35 = 10$

Hence we should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.

7 0

3 years ago