Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
Answer:
2x+5 r. 13
Step-by-step explanation:
So using long division, you can solve for the quotient and the remainder.
Please look at the attached for the solution.
Step 1: need to make sure that you right the terms in descending order. (If there are missing terms in between, you need to fill them out with a zero so you won't have a problem with spacing)
Step 2: Divide the highest term in the dividend, by the highest term in the divisor.
Step 3: Multiply your result with the divisor and and write it below the dividend, aligning it with its matched term.
Step 4: Subtract and bring down the next term.
Repeat the steps until you cannot divide any further. If you have left-overs that is your remained.
Answer:
Then, a=-1 and b=-1
Step-by-step explanation:
We need to solve the following system of equations using the adition method:
2a+3b=-1 (i)
3a+5b=-2 (ii)
First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:
-6a-9b=3
6a+10b=-4
Adding the two equations we have:
-6a-9b=3
6a+10b=-4
--------------------------
0 + b = -1
Then b=-1. Now, let's substitute the value of b into equation (i):
2a+3b=-1
2a + 3(-1) = -1
2a -3 = -1
2a = 2
a = 1
Then, a=-1 and b=-1
Answer:
D. Reflection across x-axis
Step-by-step explanation:
When plotting the two points & then connecting the dots, it will not touch y-axis at all - it will be straight line and cross x axis
Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
