Emma has a blueprint on her house. Her bedroom has a scale of 1 inch = 4 feet. The blueprint measurements on the bedroom are 2.5 inches by 3 inches. What could be the actual dimensions of Emma's room? a) 10 feet by 12 feet

b) 8 feet by 10 feet

c) 8 feet by 12 feet

d) 10 feet by 11 feet

the image of (6, 9) under a dilation is (4, 6). the scale factor is

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus