Answer:
The x-intercept is the place where the line crosses the x-axis. In other words, y=0. The y-intercept is (0,6).
Step-by-step explanation:
3x+y=6
3(0)+y=6
0+y=6
y=6
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
Answer:
C. 42 yards
Step-by-step explanation:
You may recognize this as a 3-4-5 right triangle with a scale factor of 14. The two given sides are 5·14 = 70 and 4·14 = 56. Then the missing side is 3·14 = 42.
If not, you can use the Pythagorean theorem in the usual way:
... hypotenuse² = leg1² +leg2²
... 70² = 56² +leg2²
... leg2 = √(70² -56²) = √1764 = 42 . . . . yards
The cable is anchored 42 yards from the base of the tower.
Answer:
It is odd
Step-by-step explanation:
For example let's substitute 1 for x
f(x) = 4(1)+3
4+3
f(x) = 7 this is odd
Let's substitute 2
f(x) = 4(2)+3
8+3
f(x) = 11 this is odd
This means no matter what you substitute for x, it will be odd
Hope this helps!
Since complements of the same angle are congruent, we know that both angles are congruent, meaning they have the same measure. To find the value of X, set the two angles equal to each other and solve