Answer:
8
Step-by-step explanation:
AC=AB+BC
2X+26=1+x+16
2x-x=1+16-26
X= - 9
Now, AC=2X+26
=2*-9+26
= - 18+26
=8
Answer:
(B) -8
Step-by-step explanation:
Given the 2-column table below:
Taking the pair (-3,14) and (-1,10)
Taking the pair (1,6) and (4,0)
Slope, 
Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:
Taking the pair (8,y) and (4,0)
Slope, 
Therefore, the value of ? on the y-column is -8.
Answer:
Step-by-step explanation:
1. Find the GCD ( or HCF) of numerator and denominator
<u>GCD of 5 and 14 is 1</u>
2. Divide both the numerator and denominator by the GCD
5 divide 1 and 14 divide 1
3 reduced fraction
5/14
The mistake that Danielle made is from the final equation of the polynomial. She did not write the degree of polynomial correctly. It should be 6x⁶ +2x²+ 2x - 8.
<h3>What is polynomial?</h3>
A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
To determine the sum of x³ + 5x²-7 and 5x³ - 3x² + 2x - 1
Danielle's Work :
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
x³ + 5x³ + 5x² - 3x² + 2x - 7 - 1
6x⁶ +2x⁴ + 2x - 8
She did not write the degree of polynomial correctly
Correct Work :
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
we have to open the brackets above
x³ + 5x² - 7 + 5x³ - 3x² + 2x - 1
x³ + 5x³ + 5x² - 3x² + 2x - 7 - 1
6x⁶ +2x²+ 2x - 8
Note that Danielle made the error in this step: 6x⁶ +2x⁴ + 2x - 8
The solution for the above is -2x² and not 2x⁴ as she wrote in her final equation.
Hence, the correct polynomial would be 6x⁶ +2x²+ 2x - 8
Learn more about polynomial here:
brainly.com/question/11536910
#SPJ1
