All categories

3 years ago

Find the x and y intercepts.

Mathematics

1 answer:

Roman55 [17]3 years ago

3 0

-3/4x + 5/6 y = 15

Multiply through by 6

-9/2x + 5y = 90

Add 9/2x to both sides

5y = 90 + 9/2x

Divide both sides by 5

y = 18 + 9/10x

y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c

Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18

You might be interested in

Simplified the expression 5x-3(4-x)

alina1380 [7]

Answer:

8x-12

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

-<br> Use the order of operations to simplify 4(3.5 - 1.5) -

irinina [24]

Answer:

When simplified this equation equals 8.

Step-by-step explanation:

Let me show you my work.

4 ( 3.5 - 1.5 ) = 4 ( 2 )

4 ( 2 ) = 8 because 4 times 2 = 8

Hope this helps. . .

UwU

6 0

2 years ago

Read 2 more answers

What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$

Therefore:

FOR THE SQUARE:

$L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}$

FOR THE RECTANGLE 1:

$L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}$

FOR THE RECTANGLE 2:

$L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}$

Finally, the area of a garden is the sum of the three areas:

$A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}$

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

4 0

3 years ago

Divide using long division. HELP ASAP!!

pav-90 [236]

Answer:

The answer to your question is the first option

Step-by-step explanation:

Write the division

7x³ - 7x² + 6x +4 Result

x + 1 7x⁴ - 0x³ - 1x² + 10x + 15

-7x⁴ - 7x³

0 - 7x³ - 1x²

+ 7x³ +7x²

0 + 6x² + 10x

- 6x² - 6x

0 + 4x + 15

- 4x - 4

0 + 11 Remainder

Result = 7x³ - 7x² + 6x + 4 + 11 / x + 1

8 0

3 years ago

Find the value of x for which ABCD must be a parallelogram.

Tems11 [23]

D. X = 8 , Y = 6
3x - 14 = x + 23x - x = 2 + 142x = 162x / 2 = 16/2x = 8
To check: 3x - 14 = x + 2 ; 3(8) - 14 = 8 + 2 ; 24 - 14 = 10 ; 10 = 10
4y - 7 = y + 114y - y = 11 + 73y = 183y / 3 = 18 / 3y = 6
To check: 4y - 7 = y + 11 ; 4(6) - 7 = 6 + 11 ; 24 - 7 = 17 ; 17 = 17
hopes it helps:)

8 0

3 years ago

Read 2 more answers