Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Part 1:
A. Like terms must have the same variable and exponent.
B. Give an example of two terms that cannot be combined: 7c and 4b
C. Write one complete sentence to explain why the two terms you wrote cannot be combined: 7c and 4b cannot be combined because they have different variables, and are therefore not like terms.
D. Use distributive property: 2(-4 + 6.1) + 3(5 - x)
2 * -4 = -8
2 * 6.1 = 12.2
-8 + 12.2 + 3(5 - x)
3 * 5 = 15
3 * x = 3x
-8 + 12.2 + 15 -3x
-8 + 12.2 = 4.2
4.2 + 15 = 19.2
19.2 - 3x is the simplest version.
Part 2:
A. Thor is wrong because, in step 4, he subtracted to isolate the variable when he should have divided.
B. 4x + 9 = 6
Step 1: 4x + 9 - 9 = 6 - 9
Step 2: 4x = -3
Step 3: 4x/4 = -3/4
Step 4: x = -0.75
Answer:
1,4 2,2 = to 2,8 4,4
Step-by-step explanation:
Hello!
I believe the most logical answer is 7⋅10^9
I hope it helps!
You need to represent the number of males in terms of females.
Explanation:
Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.
So then the number of males is <span>f+240</span> and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: <span>f+<span>(f+240)</span>=2500</span>. I put the number of males in brackets there just to make it easy to recognize.
This equation can be condensed into <span>2f+240=2500</span> and then solved:
<span>2f=2500−240</span>
<span>f=<span><span>2500−240</span>2</span></span>
<span>f=1130</span>
Then, we know the number of females, and we can solve for the number of males from here using our male formula: <span>males=f+240</span>. You should then get 1370 as the number of males.
Checking this answer, we see that 1130 + 1370 does equal 2500.
