Answer: The first number is and the second number is
Step-by-step explanation:
Let be "x" the first number and "y" the second number.
The word "Twice" indicates multiplication.
By definition, the sum is the result of an addition.
"is" indicates an equal sign.
Therefore, "Twice the sum of a number and three times the second number is four" can be expressed as:
[Equation 1]
A difference is the ressult of a subtraction, then " The difference of 10 times the second number and five times the first is 90" can be expressed as:
[Equation 2]
To find the numbers:
1. Solve for "x" from the Equation 1:
2. Substitute this equation into the Equation 2 and solve for "y":
3. Substitute the value of "y" into the equation and evaluate:
Multiply each side of the equation by 4/3 .
<u>Answer</u>
6.928 cm.
<u>Explanation</u>
The diagonals of a kite meet at 90°.
So, the ΔXYv is a right triangle at V.
We can use the trigonometric ratios to find the length VY.
TangentФ = opposite/adjacent
tan30° = 4/VY
VY = 4/tan30°
= 4/0.5774
= 6.928 cm.
Answer:
n = 24
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= =
hence
= ( cross- multiply )
35n = 30 × 28 = 840 ( divide both sides by 35 )
n = = 24
H(-5) pretty much is just saying x=-5, so you should insert that number in as x and solve.
h(-5) = -5(-5) - 10
h(-5) = 25 - 10
h(-5) = 15
This is your final answer.