Answer:
Question one = 35a - 15
Question two = 9
Step-by-step explanation:
Distributive property means to multiply all the numbers inside the parenthesis
by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.
35 x 9 - 315 - 15 = 300
A = 9
Y=3x-5
y-3x=-5
Times 2 from both side
y(2)-3x(2)=-5(2)
2y-6x=-10
Times negative from both side
(-)2y-6x(-)=(-)-10
-2y+6x=10
or
6x-2y=10
6x=2y+10
6x-2y=10
Furthermore, we see that both equation have the same 6x-2y=10 which means that both of them have infinity solutions, not a solution. Hope it help!
Answer: hypotenuse = 
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (
) of the right triangle, .i.e.:

In this question:
= 
2bc
Substituing and taking square root to find hypotenuse:

Calculating:


=
, then:


Hypotenuse for the right-angled triangle is
units
Answer:
the cost of 3 apples and 7 oranges be £15 and £35 respectively
Step-by-step explanation:
Let us assume the apple be x
And, the oranges be y
Now according to the question
5x + 4y = £45
And,
2x + 8y = £50
Multiply by 2 in equation 1
So,
10x + 8y = £90
2x + 8y = £50
8x = £40
x = £5
And, y be
5(£5) + 4y = £45
£25 + 4y = £45
4y = 20
y = £5
So, the cost of 3 apples and 7 oranges be £15 and £35 respectively
Answer:
(a) No
(b) No
(c) No
Step-by-step explanation:
Given
See attachment
Required
Select Yes or No for each
To do this, we make use of Euler's formula

Where


Using: 


<em>The above equality is false. Hence, (a) does not exist</em>

Using: 


<em>The above equality is false. Hence, (b) does not exist</em>
<em />
<em />
<em />
Using: 


<em>The above equality is false. Hence, (c) does not exist</em>