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2 years ago

Write the equation of a line in slope intercept form that contains the points (3,-5) and (-3,-3)

Mathematics

1 answer:

ASHA 777 [7]2 years ago

4 0

Answer:

y = -1/3x - 4

Step-by-step explanation:

slope is change in y over the change in x

-3 + 5 = 2

-3 - 3 = -6

slope is -2/6 or -1/3

y+3 = -1/3 (x + 3)

y + 3 = -1/3x -1

y = -1/3x - 4

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Solve the following system of equations algebraically and check. y=x^2+3x+4 y-x=7

FinnZ [79.3K]

Y=x^2+3x+4
y-x=7

x^2+3x+4-x=7
x^2+2x+4=7
(factor) x^2+2x-3=0
(x+3)(x-1)=0
X= -3 and X=1
(Plug x in for y)
Y= 1^2+3(1)+4
Y=8
(Check your answer on the second equation)
8-1=7
7=7 (Which is the solution)

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2 years ago

State the negation of the following statement: The sun is not shining.

scoundrel [369]

Not shining is the negation

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2 years ago

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Find the next term of the following sequence. 25, 10, 4,

arlik [135]

The given sequence is 25, 10, 4.

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : r = $\frac{a_{2}}{a_{1}}$

= $\frac{10}{25}$

= 0.4

So, each term is 0.4 times of it's previous term.

Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.

So, fourth / next term = 4* 0.4 =1.6

Hence, next term of this sequence is 1.6.

Hope this helps you!

4 0

2 years ago

Need help with this plz

gogolik [260]

Answer:

$x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2}$

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2 years ago

Lines

xeze [42]

Answer:

x=27, y=18

Step-by-step explanation:

Angle CB is 128, which means angle AC is 72. We can confirm angle O is also 72, since the lines are straight. Angle AM is 27, because AN is a right angle. 63+72+27= 162 180-162=18 Angle ND is 18.

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3 years ago

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