Answer:
d
Step-by-step explanation:
dedede
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3
Answer:
Step-by-step explanation:
Subtract 1/10 from 9/10 to find out how much is left.
9/10 - 1/10
8/10 = 4/5
To find the rate of change, you look at how much the y value increases with a change of 1 x. We see that as x increases from 1 to 2, y increases from 120 to 144. Then we subtract 144-120 to find the rate of change, which is just 24 (also note that x changes by 1 here).
Then for the initial value:
We see that y increases by 24 for 1 x, so subtracting the value at x=1 by 24 we get 120-24 = 96, which is the initial value.
Hope this helps
