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3 years ago

Y= 3x+6; (4,7) in slop intercept form

Mathematics

1 answer:

Neko [114]3 years ago

5 0

What we are given:

*equation

* intercepts (4,7)

All we have to do is plug in what we know:

Y= 3x + 6

x=4 and y= 7

NEW EQUATION:

7= 3(4) + 6

7= 12+6

7= 18

then divide 18 by 7

18/7= 2.5

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CAN SOMEONE HELP ME WITH THIS

Zielflug [23.3K]

Answer:

8 $\frac{2}{3}$

Step-by-step explanation:

Find the LCD of the two fractions, which is six

3 $\frac{1}{2}$ = 3 $\frac{3}{6}$

---------------------------------------------------------------------------------------------------------------

5 $\frac{1}{6}$ + 3 $\frac{3}{6}$ = 8 $\frac{4}{6}$

The next step is to reduce:

8 $\frac{4}{6}$ = 8 $\frac{2}{3}$

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Have a great summer :)

3 0

2 years ago

Read 2 more answers

A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in

Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0

2 years ago

What is the value of this expression?<br><br> (−4) to the fourth power

Alex_Xolod [135]

Good afternoon/evening.

-4^4 = four to the fourth power = (-4)(-4)(-4)(-4) = 256
Remember, when a negative is multiplied by a negative it equals a positive.

4 0

3 years ago

More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh

Olin [163]

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = $\int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx$

= $\int_{-1.34}^{1.34}(5x^{2}-9)dx$

= $[\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}$

= $[\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]$

= $[-4.01+12.06-4.01+12.06]$

= 16.1 unit²

6 0

3 years ago

Find the area of the shaded region.

MariettaO [177]

Answer:

Area of shaded region = 134.13 square feet

Step-by-step explanation:

Area of the shaded region = Area of square - Area of circle

$= ( 25 \times 25) - ( \pi 12.5^2)\\= 625 - 490.87\\= 134.13 ft^2$

8 0

2 years ago