Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
Answer:
Step-by-step explanation:
When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.
tan^2(x) = (tanx)^2
BD = AC Given. BD cuts AC in half. That's what bisectors do.
BD = BD Reflexive property of a line (it is always equal to itself).
<ADB = <ADC = 90o
DB is perpendicular to AC Given.
<ADB + <ADC = 180o The two are supplementary.
Each angle = 90o Perpendicular means that one line meets another at 90o
2x = 180
x = 90o
Since each of the enclosed angles = 90, two have two triangles congruent by SAS <<<< Answer
Answer:
<em>The answer is 200</em>
Step-by-step explanation:
<em>To solve the question given, let us recall the following,</em>
<em>Let r4=200 miles apart</em>
<em>r=50 mph combined speed
</em>
<em>Where </em>
<em>2f+10=50
</em>
<em>2f=40
</em>
<em>f=20
</em>
<em>f+10=30
</em>
<em>or we can express it in another way,</em>
<em>which is</em>
<em>f x4+(f+10)x 4=200
</em>
<em>f x4+f x4+40=200
</em>
<em>8f+40=200</em>
<em>Then</em>
<em>8f is =160
</em>
<em>f=20
</em>
<em>f+10=30
</em>
<em>Therefore,</em>
<em>4x 20+4 x 30=200
</em>
<em>80+120=200
</em>
<em>200=200</em>
<em />
Y=x-7 this is because you subtracted the x to both sides. Since y is a negative, you divide by -1 causing the -x to turn positive and the positive seven to be negative seven.