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Ilia_Sergeevich [38]
3 years ago
9

What ratio is equivalent to the ratio 14:7 A 1:7 B2:7 C2:1

Mathematics
2 answers:
erastovalidia [21]3 years ago
7 0

Answer:

14:7 is the same as 2:1 because 7 can go into 14 two times and into 7 once

so your answer would be C

svp [43]3 years ago
5 0

Answer:

c 2:1

Step-by-step explanation:

If you simplify 14:7 it is 2:1  (divide by 7)

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*A triangle has sides 42, 4x, and 2x−6. What is the possible range of x?
scoray [572]

Answer:

<h2>The Possible range for x is : ]8 , 18[</h2>

Step-by-step explanation:

To can draw this triangle if:

4x - (2x - 6) < 42 < 4x + (2x - 6)

solve inequality 1 :

4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)

Solve inequality 2 :

42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)

from (1) and (2) we deduce that : 8 < x < 18

3 0
3 years ago
F(x) = 4x^2 - 3x + 2kx + 1 
dybincka [34]
f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}

\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)

6 0
3 years ago
What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin
Ostrovityanka [42]
Y= 3/4x - 2   (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
5 0
3 years ago
What is the vertex of the function f(x) = x2 + 12x?
Sophie [7]
We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x   =   (-12 + 0) / 2   =   -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6)   =   36 - 72   =   -36

Therefore vertex is (-6, -36).
7 0
3 years ago
Find the value of x and the value of y ?​
olganol [36]

Answer:

B)  x = 7,  y = 4\sqrt{2}

Step-by-step explanation:

you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units

you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4\sqrt{2}

to find 'x', it is the sum of 3 and 4

7 0
2 years ago
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