The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day
The distance between city C and city D is 450 miles.
<u>Solution:</u>
Given, The distance between City A and City B is 250 miles.
A length of 2.3 feet represents this distance on a certain wall map.
City C and City D are 4.14 feet apart on this map.
We have to find what is the actual distance between City C and City D?
Now, distance between a and b is 250 miles ⇒ 2.3 feet on map
Then, distance between c and d be n miles ⇒ 4.14 feet on map.
Now, by chris cross method.
250 x 4.14 = 2.3 x n miles.
2.3n = 1035
n = 450
Hence, the distance between city C and city D is 450 miles.
Answer:
Step-by-step explanation:
The gradient = change in y / change in x
When the x value increases by 1, the y value decreases by 2 so -2 / 1 = -2
The y intercept is 4, so it is +4
In order to find the answer to this question, we need to use the quadratic formula.
-b +- √b² - 4ac
2a
In this equation, 5 is a, 16 is b, and -84 is c. You'll notice that the formula says 'plus or minus', meaning that there are two answers depending on whether you add or subtract. Let's start by adding.
-16 + √16² -(4(5)(-84)
2(5)
Use a calculator to simplify. Remember PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) when deciding which order to go in.
-16 + 44
10
2.8
One solution is 2.8. Now, let's do the same thing, but subtract this time. Keep in mind that the number under the radical stays the same, so you don't have to recalculate that.
-16 - 44
10
-6
The solutions to the equation are 2.8 and -6.
Hope this helps!
