Answer:
<em>Square= 12 units</em>
<em>Triangle long sides= 19 units</em>
<em>Triamgle short side= 10 units</em>
Step-by-step explanation:
<em>It is a square, so all sides are the same. That means 3x+3 equals 4x. What number can be subsituted into x to equal 4? If x is 3, then 3x+3 would be 3(3)+3. It equals 12. 4 times 3 is also 12. It works! That also means the square's side is 12 units.</em>
<em>Square= 12 units</em>
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<u><em>So, x=3</em></u>
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<em>The triangle's longer sides are 7x-2. Subsitute x in, which is 3, and you get 7(3)-2. It equals 19. The two longer sides of the triangle are the same length, so both are 19 units.</em>
<em>Triangle long sides= 19 units</em>
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<em>The triangles shorter side is 2x+4. Subsitute 3 in for x and you get 2(3)+4. It equals 10, so the shorter side is 10 units.</em>
<em>Triangle short side= 10 units</em>
9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Answer:
1/3
Step-by-step explanation:
im just smart (wink)
Answer: what's the results of the stimulation?, there's not much info to answer your question.
Step-by-step explanation:
Answer: b) -0.625
<u>Step-by-step explanation:</u>
The formula for the z-score is:
