Slope of line perpendicular to ax+by=c is b/a
given
-2x-8y=18
slope of perpendicular is -8/-2=4
y=4x+b
find B
(4,5)
x=4,y=5
5=4(5)+b
5=20+b
minus 20
-15=b
y=4x-15
Let's say the smaller number is x. Then, we can represent the larger number as x + 1. The +1 means that it's both larger, because adding makes a number larger, and consecutive, because it's 1 greater or less.
Then, we can write an equation. The sum of the two numbers is x + (x + 1), and it's equal to -165.
x + (x + 1) = -165
2x + 1 = -165
2x = -166
x = -83
Since x = -83, the smaller number is -83.
Answer:
The height of tree is approximately 121.5 feet.
Step-by-step explanation:
We are given following in question:
Length of shadow = 150 feet
Angle of elevation of the sun =
The tree and the shadow forms a right angled triangle.
Thus, with the help of trigonometric relation, we can write:
Let x feet be the height of tree.
Putting all the values, we get,
Thus, the height of tree is approximately 121.5 feet.
Answer:
$22.20
Step-by-step explanation:
We are told that $13.32 only covered 3/5 of the cost. Does this mean it covered the whole cost? No. The 5 in the denominator represents the whole cost, and the 3 represents the fraction of the cost. In this case, 13.32 represents the 3, as it did not cover the whole cost.
Let's set up our equation by making 13.32 into a fraction.
13.32/x
We will represent the present's actual cost with the letter x.
13.32/x = 3/5
We want to make sure the 13.32 is in the numerator, equal to the 3 in the numerator in the 3/5 number, because we know that $13.32 only covered for a <em>fraction </em>of the present's cost, not the whole cost.
We solve this by doing cross multiplication. Multiply the 13.32 by the 5.
13.32 x 5 = 66.6
Next we divide 66.6 by 3 to get 22.2
66.6/3 = 22.2
This gives us our final answer of $22.20. This means that the cost of the original present was $22.20
Answer :
A) y = 7x + 4
Step-by-step explanation:
we need to see the equations 1 by 1
instead of y and x we need to put the value given
I am taking the last x and yes values as they are small numbers and will be easy to calculate
x = -1
y = -3
placing the values in equation :
A) y = 7x + 4
-3 = 7 × -1 + 4
-3 = -7 + 4
-3 = -3
So we got the answer same ! so the correct answer will be A) y = 7x + 4
let's check other one too to confirm overselves
b) y = 4x + 7
-3 = 4 × -1 + 7
-3 = -4 + 7
-3 = 3 NOT AN ANSWER
