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lidiya [134]
3 years ago
8

What is the equation of the line that passes through the point (6,3) and has a slope of -1/3?

Mathematics
2 answers:
ryzh [129]3 years ago
7 0

Answer:

y = - \frac{1}{3} x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - \frac{1}{3} x + 5 ← equation of line

Vesnalui [34]3 years ago
6 0
The equation is y = -1/3x + 5
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the function h(x) is given below. h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)} which of the following gives h–1(x)?
lutik1710 [3]
Look at the picture.

Answer: b. {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}.

8 0
3 years ago
The scale factor for two similar rectangles is 4. If the area of the smaller rectangle 7m^2, what is the area of the larger rect
nydimaria [60]

Answer:

A. 112 m^2

Step-by-step explanation:

If the scale factor is 4, the area of the larger figure is 4^2 times that of the smaller one.

... (7 m^2)·4^2 = 112 m^2

_____

The scale factor for area is the square of the scale factor for linear dimensions. When we talk about a scale factor without qualification, we mean the scale factor for linear dimensions.

3 0
3 years ago
Sally has been measuring the tree in her yard for a science project. The tree has grown 12 of an inch each month and grown a tot
hammer [34]

Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

.........................................................................................

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

So mathematically, that would be 2/1/2 = 2 * 2 = 4 months

3 0
3 years ago
Solve x2 + 15x = –56.
Black_prince [1.1K]
15x = 7x + 8x

x^2+15x=-56\\\\ x^2+15x+56=0\\\\ x^2+7x+8x+56=0\\\\x(x+7)+8(x+7)=0\\\\ (x+7)(x+8)=0 \\\\ x=-7 \ or \ x=-8
6 0
3 years ago
Read 2 more answers
Simplify the expression <br><br> 6(-5n + 7)
Hunter-Best [27]

6(-5n+7)=0


We simplify the equation to the form, which is simple to understand

6(-5n+7)=0


Reorder the terms in parentheses

+(-30n+42)=0


Remove unnecessary parentheses

-30n+42=0


We move all terms containing n to the left and all other terms to the right.

-30n=0-42


We simplify left and right side of the equation.

-30n=-42


We divide both sides of the equation by -30 to get n.

n=1.4

Hope this helps!

7 0
3 years ago
Read 2 more answers
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