Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.
So let's multiply each term by 100 to clear the decimals:
(100)0.25x + (100)0.35 = (100)(-0.29)
25x + 35 = -29
Now we can solve the equation as normal:
25x + 35 - 35 = -29 - 35
25x = -64
x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.
Let's look at one more:
1.75x + 4 = 6.2
We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.
(100)(1.75x) + (100)(4) = (100)(6.2)
175x + 400 = 620
We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:
175x + 400 - 400 = 620 - 400
175x = 220
x = 1.26
Step-by-step explanation:
Note that the equation of the circle is
(x-h)² +(y-k)² =r²
where centre is (h,k)
the equation of the circle based on the information given
(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)
substitute into the equation
(3-3)² +(-2-4)² =r²
r=6 or r=-6
since r is radius, we reject r=-6 since radius must be nonnegative.
the radius is 6
A typical quadrilateral kite (kinda looks like a diamond) only has 1 line of symmetry
Answer:f(4)=−3x−1 f ( 4 ) = - 3 x - 1.
Step-by-step explanation:ff(4)=−3x−1 f ( 4 ) = - 3 x - 1.
f(4)=−3x−1 f ( 4 ) = - 3 x - 1. Replace the variable x x with 4 4 in the expression. f(4)=−3⋅4−1 f ( 4 ) = - 3 ⋅ 4 - 1. Simplify the result.
Answer:
Step-by-step explanation:
Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:
Now, we can multiply the expression inside the parentheses by 2.
Since the expression inside the parentheses cannot be <u>simplified further</u>, we can open the parentheses and simplify the expression.
We can combine the denominators as the denominators are the same.
Finally, we can simplify -4 + 3.
Therefore, the simplified expression is (2m - 1)/5.
Learn more about combining like terms: brainly.com/question/13080103
