Answer:
1536 square inches
Step-by-step explanation:
In units of 5 feet, the backdrop is 3 units wide and 2 units high, for a total area of 3×2 = 6 square units.
Those same units on the scale drawing are each 16 inches. One square unit on the scale drawing is (16 in)² = 256 in². So, 6 of them have an area of ...
6 × 256 in² = 1536 in²
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of 
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by 
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer:
c
Step-by-step explanation:
1=x
-3=y
then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:
-3<3(1)+1
and solve it
-3<4+1
-3<5
Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
Step-by-step explanation:it’s a
b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.
Answer:
a) 7/4 b) 15/2
Step-by-step explanation:
a) Scale Factor = Image / Object
Take the side of Triangle ABC that's BC Why? Because it corresponds with the Image Triangle ADE's DE
= 21/12 = 7/4
b) 7/4 = 10+ x / 10
Cross Multiply
= 4 ( 10 + x ) = 70
= 40 + 4x = 70
= 4x = 70-40
= 4x = 30
= 4x/4 = 30/4
x = 15/2
