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dalvyx [7]
3 years ago
14

1 of 3

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

y = -1/2x + 3.5

Step-by-step explanation:

The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2

y = -1/2x + c

Now we can substitute x = 1 and y = 3 into the equation:

  • 3 = -1/2(1) + c
  • 3 = -1/2 + c
  • c = 3 + 1/2
  • c = 3 1/2 or 3.5 or 7/2

The equation of the line is y = -1/2x + 3.5

Hope this helps!

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Can someone help me find x
Viefleur [7K]

Answer:

Rounded to the nearest tenth: x=5.7 in

Rounded to the nearest hundredth: x=5.74 in

Step-by-step explanation:

We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, x, and its hypotenuse 10 in. To find x, we are using the trig function that relates  the opposite side with the hypotenuse; in other words, the sine trig function.

sin\alpha =\frac{opposite}{hypotenuse}

sin(35)=\frac{x}{10}

x=10sin(35)

x=5.735764364

Rounded to the nearest tenth: x=5.7 in

Rounded to the nearest hundredth: x=5.74 in

4 0
3 years ago
Need help with this??? Please!!!
Radda [10]

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

3 0
3 years ago
Which statement is true about the box plots?
Harrizon [31]

Answer:

A

Step-by-step explanation:

Both are ten numbers apart

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ollegr [7]
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