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3 years ago

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

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

6 0

Answer:

The required equation is y + 3 = 4(x + 1)

Step-by-step explanation:

Since, the point slope form of a line passes through the point $(x_1, y_1)$ having slope m is,

$y-y_1 = m(x-x_1)$

Here,

$x_1 = -1, y_1 = -3\text{ and }m = 4$

Hence, the equation of the line,

$y+3 = 4(x+1)$

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

Law Incorporation [45]3 years ago

4 0

M=4

(-1, -3)
x1, y1

just plug the rest in

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Blizzard [7]

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Step-by-step explanation:

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3 years ago

The number of freshman at George Washington high school is 60 greater than the number of sophomores. If there are 1250 students

solmaris [256]

Answer:

Hence total number freshman presented are 655.

The system is relative system as there is correlation between freshman and

sophomores.( as freshman are 60 more than the Sophomores)

Step-by-step explanation:

Given:

1250 total students of sophomores and freshman.

To Find:

freshman count and its type of system used.

Solution:

We have that ,

consider x be the no.of freshman and y be the sophomores

So by given condition,

x+y=1250 ,..............................Equation(1)

And other one,

x=60+y

Use above value in equation (1) we get ,

60+y+y=1250

2y=1250-60

y=595

Now number of freshman ,

x+y=1250

x=1250-595

x=655

Hence total number freshman presented are 655.

The system represent the relative proportion system.The break even and total value should include all students in university .

Relative means in relationship with one another .

As there are 60 more number of freshman than the sophomores.

3 0

3 years ago

Please help I got the answer wrong-

puteri [66]

Answer:

$x {}^{2} = 150$

Step-by-step explanation:

What I did was

$5 \times 5 = 25$

then I did

$5 \times 5 = 25 \times 5 = 150$

and I'm hoping 150 is the answer. HOPE THIS HELPED

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3 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

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4 years ago