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3 years ago

For each inequality, decide whether the solution is represented by x<4.5 or x>4.5

Mathematics

2 answers:

dmitriy555 [2]3 years ago

8 0

A: x > 4.5

B: x < 4.5

C: x < 4.3

Papessa [141]3 years ago

5 0

Answer:

A: might be x < 4.5

B: might be the same as a

c: x > 4.5

Step-by-step explanation:

I might be wrong though don’t hold it against me plz

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378 times 6 with regrouping

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The answer is 2268 now you have to regroup it

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3 years ago

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Select all that apply.<br><br> Given ΔJKL : ΔXYZ, which of the following are corresponding parts?

nydimaria [60]

Answer:

Not completely sure but (this is probably so wrong) YX, XZ AND JK, JL

Step-by-step explanation:

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3 years ago

A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.

Oksanka [162]

We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long

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3 years ago

Which equation of a line passes through the points (3, −1) and (6, 1)?

Vaselesa [24]

Answer:

Y = 2/3x - 3

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = $\frac{y1-y2}{x1-x2}$

in this case, x1 = 3, y1 = -1, x2 = 6, y2=1

applying these values to the formula for m will give

m = (-1 -1) / (3-6) = 2/3

We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.

But we can still check to confirm:

If we substitute this back into the general equation, we get:

y = (2/3)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)

1 = (2/3)(6) + b

1 = 4 + b

b = -3

Confirm Y = 2/3x - 3 is the answer.

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3 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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3 years ago

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