# The distance between the points (2,1) and (x,7) as graphed on the standard (x,y) coordinate plane is 10. What is one possible value for x?

The distance between the points (2,1) and (x,7) as graphed on the standard (x,y) coordinate plane is 10. What is one possible value for x?

A. -10
B. -6
C. 5
D. 8

# Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?

Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?

A) (x – 5)² + (y+5)² = 10

B) (x – 5)² + (y+5)² = 100

C) (x – 10)² + (y+10)² = 10

D) (x – 5√2)² + (y+5√2)² = 100

Clearly, A) is out because that one does not have a radius of 10. What is the most time-efficient way to solve this? Sketch and eyeball?

# Test 10 – Question 30

Test 10 – Question 30

# For question 5 on page 242(Angles, Triangle and Polygons)…

For question 5 on page 242(Angles, Triangle and Polygons), could you explain why the triangle was put into 60,30,90 right triangle and how you came up with b/2 *square root of 3 as the height?

# Thomas is making a sign in the shape of a regular hexagon with 4-inch sides…

Thomas is making a sign in the shape of a regular hexagon with 4-inch sides, which he will cut out from a rectangular sheet of metal. What is the sum of the areas of the four triangles that will be removed from the rectangle?

# In the xy-plane what is the slope of the line that passes through the origin and makes a 42° angle with the positive x-axis? A. 0.67 B. 0.74 C. 0.90 D. 1.11

Trigonometry does the trick here. Below is that line making a 42° angle with the positive x-axis. I’ve also drawn a dotted segment to make myself a neat little right triangle. Remember that slope is rise over run—how high the line climbs divided by how far it travels right. In this case, the dotted segment (more…)

# sin (90-x) = 12/13 what is the value of sin x?

Think of a 5-12-13 triangle (that’s one of the Pythagorean triples you should know). Say angle A measures x°, which would make angle C measure (90 – x)°. (I’m choosing those based on the fact that I already know that the sine of angle C will be 12/13.) Now that we’ve got it set up, all we (more…)

# Practice question for Circles, Radians, and a Little More Trigonometry, #5, p. 272, 4th Ed.

Practice question for Circles, Radians, and a Little More Trigonometry, #5, p. 272, 4th Ed.

# Test 7 Section 4 #36

Test 7 Section 4 #36

# How do you do #18 in Test 6 Section 3 without a calculator?

How do you do #18 in Test 6 Section 3 without a calculator?

# Test 3 Section 3 #20

Test 3 Section 3 #20

# The area bound by the relationship |x|+|y|=2 is

Subject Test Question:

The area bound by the relationship |x|+|y|=2 is

A) 8
B)1
C) 2
D) 4
E) there is no finite area.

How do you find this algebraically?

# A square with an area of 2 is inscribed in a circle. what is the area of the circle?

A square with an area of 2 is inscribed in a circle. what is the area of the circle?

A) pie

B) Pie^2

C) 2pie

E) 4pie

# A right triangle has side lengths of x-1, x+1, and x+3. What is its perimeter?

A right triangle has side lengths of x-1, x+1, and x+3. What is its perimeter?

# In the xy plane above, f and g are functions defined by f(x)=abs[x] and g(x)=-abs[x] + 3 for all values x. What is the area of the shaded region bounded by the graphs of the two functions?

Hi mike! This question is from the May 2015 SAT.

(will post photo)

In the xy plane above, f and g are functions defined by f(x)=abs[x] and g(x)=-abs[x] + 3 for all values x. What is the area of the shaded region bounded by the graphs of the two functions?