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3 years ago

Given the following equation in point-slope form. Identify the slope and the point.

Mathematics

2 answers:

nordsb [41]3 years ago

8 0

Answer:

point = (-3, 5)

slope = 3/4

Step-by-step explanation:

The formula for point slope is:

y - y1 = m (x - x1)

point (x1, y1)

slope m

So with your equation:

y - 5 = 3/4 (x+ 3)

point = (-3, 5)

slope = 3/4

Mama L [17]3 years ago

6 0

Answer: M=0,75

Step-by-step explanation:

We have a linear function
y=mx+b
where m is slope ; by intercept
Let's bring the functions to the standard form
$\displaystyle y-5 =\frac{3}{4} \cdot (x+3) \\\\ y=\frac{3x+9}{4} +5 \\\\ y=0,75x+2,25+5 \\\\ y=0,75x+7,25 \\\\ y=\boldsymbol {0,75}x+7,25 \\\\ \rm Then : \\\\ M=0,75$

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А (7n + 12) В Pr D (13n - 16) \(6n) Te С 2 2

MrRa [10]

Answer:

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4 0

3 years ago

The temperature at night reached -13°F. Write an equivalent statement about the temperature using the absolute value of the numb

34kurt

The temperature at night was 13° below 0

5 0

3 years ago

The distance between the two points pictured is d = Vn

icang [17]

Answer:

n = 61

Step-by-step explanation:

Given points:

(-3, -2) and (2, 4)

Use distance formula:

d = $\sqrt{(2 - (-3))^2 + (4 - (-2)^2}$ = $\sqrt{5^2 + 6^2}$ = $\sqrt{25 + 36}$ = $\sqrt{61}$
n = 61

7 0

3 years ago

A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area o

vagabundo [1.1K]

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area = $Length \times breadth = 4 \times 3 = 12 sq.m.$

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area = $Length \times breadth = 6 \times 2 = 12 sq.m$ .

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = $Length \times breadth = 3 \times 5 = 15 sq.m.$

Cost of 1 sq.m. = 2

Cost of 12 sq.m. = $15 \times 2 = 30$

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

5 0

3 years ago

Evaluate the following(21÷7)+7+7(7-2)×9

san4es73 [151]

Answer:

325

Step-by-step explanation:

Writing out the equation always makes it easier to solve:

( 21 / 7 ) + 7 + 7( 7 - 2 ) x 9

First, following the rules of P.E.M.D.A.S.

(parenthesis, exponents, multiplication, division, addition, subtraction.)

You would need to solve for the values within each parenthesis... so

(21 / 7). 21 divided by 7 is equal to 3. And in (7 - 2). 7 minus 2 is equal to 5.

The equation is now:

( 3 ) + 7 + 7( 5 ) x 9

Next you must solve for multiplication, so:

7( 5 ), 7 times 5 is 35. the equation is now:

( 3 ) + 7 + ( 35 ) x 9

Then, 35 x 9 is equal to 315. The equation is now:

( 3 ) + 7 + 315.

If you add everything together, you get the answer of:

325!!!

5 0

2 years ago