Answer:
x = -5
Step-by-step explanation:
-4(x+3)=8
(-4)(x)+(-4)(3)=8 (distribute)
-4x - 12 = 8
-4x - 12 + 12 = 8 + 12
-4x = 20
-4x/-4 = 20/-4 =
x = -5
-Elaina <3
Answer:
Step-by-step explanation:
Angle PRS and RPQ are right angles. Segment SP is also congruent to segment QR. This means that triangle PRS and RPQ are right angle triangles.
Segment SP and segment QR are the longest sides and thus, the hypotenuse of each triangle. It means that the hypotenuse are congruent
The hypotenuse leg theorem states that any two right triangles are congruent if they have a congruent hypotenuse and a corresponding congruent leg. Therefore,
Angle PSR is congruent to angle RPQ and
Triangle PSR is congruent to triangle RPQ
Ways to get an even sum:
22 odd 11 even.
33 even.
First case:
First see that there are three posiblities for the place the even number takes: (the first number cant be 0 because then it would not be a 3 digit number. Therefore there are (4∗5∗5)+2(5∗5∗5)(4∗5∗5)+2(5∗5∗5) ways
second case: all even. there are 4∗5∗54∗5∗5 ways to do it therefore the total is 100+250+100=450100+250+100=450 numbers
8 in x 10 in because you multiply each length by the Scale factor which is 2
The vertex will be when the velocity is equal to zero:
df/dx=-12x+24 (using the power rule for differentiation)
df/dx=0 only when:
-12x+24=0 add 12x to both sides
12x=24 divide both sides by 12
x=2, we find the y value to be:
y(2)=-6(2^2)+24*2-20
y(2)=-24+48-20=4
So the vertex is the point (2,4)
And the axis of symmetry is the line x=2
Now if you do not yet do calculus...
The vertex will occur midway between the two zeros.
6x^2-24x+20=0 (using the Quadratic Formula for simplicity)
x=(24±√96)/12
x≈(1.1835, 2.8165)
Now the vertex occurs at the average of the zeros...
x=(1.1835+2.8165)/2=2 (as we saw earlier)
y(2)=4
Vertex is at (2,4) and axis of symmetry is the vertical line x=2