Answer:
The equation representing the left table is
y = 1.5x - 6
The equation representing the right table is
y = -4x + 6.1
The solution to the system of equations is
(2.2, -2.7)
Answer:
£ 537.63
Step-by-step explanation:
original price = 100%
selling price = 100% - 7% = 93% = £500
just do the proportion or ratio
![\frac{100\%}{93\%} = \frac{original \: price}{500}](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%5C%25%7D%7B93%5C%25%7D%20%20%3D%20%20%5Cfrac%7Boriginal%20%5C%3A%20price%7D%7B500%7D%20)
OP = 500 x 100% / 93%
OP = £ 537.634
rounded to the nearest penny and become £ 537.63
Answer:
B.x2-4x=18
x2-4x+4=18+4
Step-by-step explanation:
When you complete the square your quadratic equation must be written in the standard form which is ax^2+bx+c.
First you are going to want to move your c term to the right (in this case move -18 to the right by adding 18 to both sides). This will get you x^2-4x=18. Now you are going to need to complete the square. To complete the square you divide the number in the bx term (in this case -4) by 2 and then square it. (-2^2=4 since a negative times a negative equals a positive). Now that you have 4 you are going to add it to both sides to get x2-4x+4=18+4.
Answer:
∠A + ∠B = 90°
Step-by-step explanation:
Complementary angles are angles which, combined, add to 90°. Therefore, an equation displaying the relationship between two complementary angles may look like this: ∠A + ∠B = 90°.
SOH CAH TOA
This is the acronym for all trigonometric ratios.
Sin. = opposite/hypotenuse
Cos. = adjacent/ hypotenuse
Tan. = opposite/ adjacent.
In this picture the OPPOSITE leg and the HYPOTENUSE is given to us. With this information we can apply the "TOA" ratio.
Sin. R = opposite/hypotenuse
Sin. R = 3/4 or 0.75
Use a calculator or table to find 0.75 in the sin. column.
The final answer should be 49.
Sin. 49 = 0.7547