Let the numbers be 7x and 4x
According to question
7x-4x =57
3x =57
X=57/3
X=19
So the numbers are
7x=7*19=133
4x=4*19=76
Answer:
false
Step-by-step explanation:
cuz how could negative be positive
With the information provided in the problem, we can create a right triangle with the ramp as its hypotenuse, and the vertical rise as its opposite side from its angle of elevation.
Let

be the angle of elevation from the car to the end of the ramp. We now know that the hypotenuse of our triangle measures 445 feet, and the opposite side measures 80 feet, so we need a trig function that relates our angle of elevation with the hypotenuse and the opposite side. That function is sine:



We can conclude that the angle of elevation from the car to the end of the ramp is 10.36°.
Answer:
y=2x+1
Step-by-step explanation:
Since we are given a point and a slope, we can use the point slope formula

m is the slope. In this case, m is 2.
y1 is the y coordinate of the point given. y1 is 3.
x1 is the x coordinate of the point given. x1 is 1
y-3=2(x-1)
Now, we need to get the equation into point slope form: y=mx+b
To do this, we need to get y by itself
First, distribute the 2 on the right
y-3=2*x+ 2*-1
y-3=2x-2
Add 3 to both sides
y-3+3=2x-2+3
y=2x+1
The equation is in y=mx+b form, so our final equation is:
y=2x+1
Answer:

Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:

Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:

We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:
