Answer:
gradient = -5
Step-by-step explanation:
A line passes (x1, y1) and (x2, y2) has the gradient (slope) which is calculated by:
gradient = (y2-y1)/(x2-x1)
As shown in picture, this blue line passes (-1, 0) and (0, -5)
=> gradient = (-5 - 0)/(0 - -1) = -5/1 = -5
Hope this helps!
Answer:
2√30 + 30√2
Step-by-step explanation:
(4√3 − 2√5)(3√10 + 5√6) simplify
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- (4√3 − 2√5)(3√10 + 5√6)=
- 12√30 + 20√18 - 6√50 - 10√30=
- 2√30 + 20*3√2 - 6*5√2=
- 2√30 + 30√2

According to given expression, we can say that the Triangles HZC and PEF are congruent, Therefore their corresponding sides will be equal.
that is :
and value of CH = 20 units
So, FP = CH = 20 units
hence, value of FP <u>can be </u><u>determined</u> .
We have been given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast in one week. The next week he spent $6 more in total for the 4 breakfasts than the week before. We are asked to find increase in the mean of second week.
Since Grant spent $6 more than last week, we will divide 6 by 4 to get how much mean of second week breakfast expenditures increased with respect to first week expenditures.
Therefore, mean of second week breakfast expenditure will be $1.5 more than first week.
Step-by-step explanation:
if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.
now from the angle given i.e X.
perpendicular= 5 cm
base = 14 -2= 12 cm
hypotenuse= ?
we know that,
h² = p²+b²
= 5²+12²=169
h= √169
h= 13
again,
cos X = b/h
= 12/13