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3 years ago

Finding the x and y intercepts x+3y=6

1 answer:

8 0

Just substitute 0 in for x and y at different times and work out, gives you the intercept 0 + 3y=6 Y=2 X + 0y=6 X =6 Hope this helps

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the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)

Veronika [31]

Hey there :)

We know the area formula of a triangle
$\frac{1}{2} (base)(height)$

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = $\frac{1}{2}$ × ( p ) × ( p - 9 )
56 = $\frac{1}{2}$ × ( p² - 9p )

Divide $\frac{1}{2}$ on both sides
56 ÷ $\frac{1}{2}$ = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative

So, the length of the base is 16 m

Check:
56 m² = $\frac{1}{2}$ × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²

7 0

3 years ago

What is the greatest common factor of 48 and 168

snow_lady [41]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

On a 20 question quiz that Mrs. MacLeod gave. One student got 13 wrong. What is the percent that student received on the test? &

Alexxx [7]

13/20 = 0.65

0.65 x 100 = 65

They got a 65.

7 0

3 years ago

Annie invests £9500 for 5 years in a savings account. She gets 1.8% per annum compound interest. How much money does Annie have

Trava [24]

Answer:

£10386.34

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a period of n years at an annual rate of r% is calculated using the formula:

$A(n)=P(1+r)^n$

In this case:

Principal, P=£9500

r=1.8%=0.018

n=5 years

Therefore:

$A(5)=9500(1+0.018)^5\\=9500(1.018)^5\\=\£10386.34$

At the end of 5 years, Annie will have £10386.34

7 0

3 years ago

At a car dealership, salespeople earn a 5% commission on the first $10,000 of every sale, plus a 3% commission on any amount ove

o-na [289]

Answer:

The total comission on the sale was $375.

Step-by-step explanation:

Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:

Total comission=(10,000*5%)+(12,500-10000)*(3%)

Total comission=500+(2,500*3%)

Total comission=300+75

Total comission=375

According to this, the answer is that the total comission on the sale was $375.

7 0

3 years ago