<span>2x - 3(-4x + 2 )
2x+12x-6
14x-6
2(7x-3)</span>
Answer:
i don't know go on your browser
Step-by-step explanation:
The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.
The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).
In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.
15/9 = 10/HB
HB = 90/15
HB = 6 blocks.
To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.
Answer: 8 feet
Step-by-step explanation:
Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:
a^2 + b^2 = c^2
(building)^2 + (missing piece)^2 = (ladder)^2
6^2 + x^2 = 10^2
36 + x^2 = 100. subtract 36
x^2 = 64. square root of both sides
x = 8
Answer: (C) shifts 6 units to the LEFT
<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
y = a |x - h| + k where;
- a is the vertical stretch (irrelevant for this problem)
- (h, k) is the vertex
Since h represents the x-coordinate and the x-axis is left to right, then h shifts the graph left or right.
- If h is negative, the graph shifts to the left.
- If h is positive, the graph shifts to the right.
x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.