Answer:
The larger number is 5.
Step-by-step explanation:
Let the numbers be represented by x and y. Then:
x + y = 8 is their sum, and
x² + y² = 34 is the sum of their squares.
Let's solve this system of equations using substitution. Since x + y = 8,
x = 8 - y. Subbing this 8 - y for x into the second equation, we get:
(8 - y)² + y² = 34, or
64 - 16 y + y² + y² = 34
Simplifying, we get first: 30 - 16y + 2y² = 0, and then:
2y² - 16y + 30 = 0, and after reducing, y² - 8y + 15 = 0.
This factors into (y - 3)(y - 5) = 0, and so y = 3 and y = 5.
The larger number is 5.
Answer:
d. he did not make an error
tell me if its right :-)
Step-by-step explanation:
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
y=2x
Step-by-step explanation:
Direct variation is such that y=kx where k is the rate of change. In direct variation the graph must cross the origin (0,0) meaning that the y-intercept is zero. The only equation that satisfies the definition of direct variation is y=2x.
Width of the rectangle is 13 cm and length is 29 cm.
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)
⇒ 84 = 6x + 6
⇒ 78 = 6x
∴ x = 13
⇒ Width of the rectangle = 13 cm
∴ Length of the rectangle = 2x + 3 = 29 cm
