Answer and Step-by-step explanation:
Distance is the numerical measurement to find the space or interval between two objects. Distance also refers to physical length. Point x to point y distance is denoted as |xy|
There are many ways to find out the distance, distance between two objects or two points. The efficient way of finding the distance between two points is given below. Mathematically, the distance between two points on a coordinate plane can be determined by using the distance formula, which is:
d =√((x2-x1)2+(y2-y1)2),
Where (x1, y1) and (x2, y2) coordinates, and d is the distance.
The middle point between these two points is known as midpoint and can find out by using the formula
Midpoint = a + b /2.
The distance between two points number line can also be calculated by using the formula:
AB =|b –a| or |a-b|.
Caution
I just finished doing this exact same problem. In nearly 4000 answers, I don't think that's ever happened. It's a great problem. Study it carefully but make sure you handle with care. Most area questions don't work this way.
Remark:
This problem will puzzle you greatly until you look at the diagram carefully.
Draw the diagram so that AC is on the horizontal and make it the longest line. This problem does not require that you have an accurate diagram.
Eyeball P so that it looks like it divides AC in such a way that PC is 2 units and AP is about 3 units. From B draw a line that is Perpendicular to AC. It shouldn't meet P otherwise you will get confused. Where the line from B hits AC label that point D. BD is perpendicular to AC.
What you need to know
BD is the height of both triangles. What does that mean? In practical terms it means that you can call the ratio of the areas 3/2
Ratio
Triangle ABP: Triangle BPC = x/14
3:2 = x:14 Change to a proportion
3/2 = x/14 Cross multiply
3*14 = 2x Combine
42 = 2x Divide by 2
42/2 = x Divide
21 = x
Conclusion One
The area of ABP = 21 square units.
Conclusion Two
Area ABC = Area ABP + Area CBP
Area ABC = 21 + 14 = 35
Nice problem. Be careful how you treat it. Usually these kind of ratio problems don't work this way.
Answer: D) -2 |x| - 2
<u>Step-by-step explanation:</u>
A v-shaped graph is an absolute value graph.
The general form of an absolute value equation is: y = a |x - h| + k
where (h, k) represents the vertex and "a" represents the vertical stretch (aka slope).
The vertex of the given graph is (0, 2), however the graph is inverted (upside-down) which is a reflection across the x-axis. Therefore,
<h2> --> y = -2 |x| - 2</h2>
Answer:
Container holds more than 3 cups of sugar.
Step-by-step explanation:
We are given that,
Amount of sugar used by Dee = cups.
Now, as the container holds 3 times the amount of sugar used by Dee.
So, the amount of sugar container holds = = = 7 cups.
Thus, the container can hold 7 cups of sugar, which are greater than 3 cups of sugar.
Hence, the container holds more than 3 cups of sugar.
Answer: y=4x-10
Step 1: Write model equation
The model equation for slope- intercept form is y=mx+b
M-Slope
X-Variable
B- Y-intercept
Step 2: Slope
Since we know that m is slope, we can substitute the slope given (1/4) into the equation
y=mx+b
y=4x+b
Step 3: Y-intercept
The final thing we have to do is solve for the y-intercept, or b. We’ll do this by substituting the point into the equation and solving.
y=4x+b
*substitute point*
6=4(4)+b
*multiply 4 and 4*
6=16+b
*subtract 16 on both sides*
-10=b
Step 4: Check your answer
We will check our answer by substituting all the values into the equation and seeing if the left and right side equal each other
y=mx +b
6=4(4)-10
6=16-10
6=6
This is correct! Hope this helps comment below for more questions :)