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sesenic [268]
3 years ago
15

Help me with these questions please ?????

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
For the first one y= -1 but idk how to do the others sorry

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What is the equation in point-slope form of the line passing through (-1,3) and (1, 7)?
amid [387]

Answer:

<h3>y - 3 = 2(x+1)</h3>

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Get the slope;

Given the points (-1,3) and (1, 7)

m = y2-y1/x2-x1

m = 7-3/1+1

m = 4/2

m = 2

Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;

y - y0 = m(x-x0)

y - 3 = 2(x-(-1))

y - 3 = 2(x+1)

Hence the required equation is y - 3 = 2(x+1)

3 0
3 years ago
Using Cramer's rule to solve linear systems.
Rzqust [24]

Answer: Last Option

x=2,\ y=-5

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

x =\frac{Det(A_X)}{Det(A)}

y =\frac{Det(A_Y)}{Det(A)}

For this problem we know that:

Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|

Solving we have:

|A|= 4*(-2) -(-6)*8\\\\|A|=40

Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|

Solving we have:

|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80

Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|

Solving we have:

|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200

Finally

x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2

y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5

4 0
3 years ago
$6,000 is invested in two different accounts earning 3% and 5% interest at the end of one year to two accounts earn $220 in inte
Svetradugi [14.3K]
My answer: $2000 were invested at 5%

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%
6 0
3 years ago
What is expanded form 12.38
Kruka [31]
Twelve and thirty- eight hundredths.
5 0
3 years ago
Read 2 more answers
Multiply and simplify 8 times 3/10
ad-work [718]

Answer:

2.4 Hope this helped

Step-by-step explanation:

8/1 x 3/10

24/10

2.4

7 0
3 years ago
Read 2 more answers
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