Answer:
i think it's a
Step-by-step explanation:
The third one 02 2/5 is the answer
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.
Answer:
the solutions are (3, 7) and (-1, -1)
Step-by-step explanation:
Insert the " = " symbol between the two equations, obtaining:
y = x^2 - 2 = y = 2x + 1
Then x^2 - 2 = 2x + 1, or
x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.
Thus, the x values that satisfy this system are {-1, 3}.
Use y = 2x + 1 to find the corresponding y values:
y = 2(-1) + 1 = -1
and
y = 2(3) + 1 = 7
Then the solutions are (3, 7) and (-1, -1)
Answer:
Length of the garden= 7 feet while the width =28 feet
Step-by-step explanation:
Let the length of the garden be L while the width represented as W
From the question, we deduce the following:
W = 4L
Perimeter = 2(L + W) = 70 feet .... substituting W = 4L into this equation gives
70 = 2(L + 4L)
70 = 2(5L)
70 = 10L ... dividing both sides by 10 gives
L = 7
Recall from the first equation that W = 4L
W = 4 * 7 =28
