Answer: 2x + y < 7
Step-by-step explanation:
In the graph we can see that:
The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:
y < a*x + b
We also can see that the slope of the line is negative, and that the y-intercept is +7
Then the inequality will be something like:
y < a*x + 7
Now we can see that the line passes through the points (0, 7) and (3, 1)
Then the slope will be:
a = (1 - 7)/(3 - 0) = -6/3 = -2
that is negative, as we already said.
Then we have:
y < -2*x + 7
we can rewrite this as:
2x + y < 7
This is the first solution shown.
Answer:
The length of diagonal d is 14.1421 cm
Step-by-step explanation:
We are given square
Length of side of square = 10 cm
We need to find the length of diagonal d
To find diagonal of square, the formula used is:

where s is length of side of square.
Putting values of s and finding length of diagonal of square

So, The length of diagonal d is 14.1421 cm
Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula

The product of slopes of two perpendicular lines is -1.
Slope of GR is

Slope of RT is

Product of slopes of GR and RT is

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule

Then the coordinates of T' are


Slope of RT' is

Product of slopes of GR and RT' is

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3








The factors are:
Answer:
= 10560 strides
Step-by-step explanation:
if 1 mile = 2640strides
4 miles = <u>4 miles x 2640 strides</u>
mile
= 10560 strides