Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
Kito makes on online purchase of a guitar case for $39.99, a tuner for $24.99 and picks for $26.99. Taxes are 6% of the total purchase price. Shipping is $8.20-add up the total: 39.99+ 24.99+ 26.99= 91.97 -calculate the sales tax: 91.97 x 0.06= 5.5182 -add in the sales tax: 5.5182+ 91.97= 97.4882 -add in the shipping cost: 97.4882+ 8.20= 105.6882
And you get $105.69 which is option A. Kito has been billed correctly
50% is equal to 5/10 so 5/10 were party cakes 1/5x2=2/10 so 2/10 were fruit cakes 5/10+2/10=7/10 so 10/10 which is 100% of all cakes 10/10-7/10=3/10 so 3/10 of the cakes were sponge cakes.
Answer:
225
Step-by-step explanation:
If you divide 675 you'll get 225. 225 times 4 will be 900. But 225 times 3 will be 674. So each 1/4 will be 225.
Answer:
y=-1/4x+8
Step-by-step explanation:
To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.
Before that, we need to change the equation into slope-intercept form.
-4x+y=10
y=4x+10
The opposite reciprocal of the slope is -1/4.
Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).
y-y1=m(x-x1)
y-9=-1/4(x-(-4))
y-9=-1/4x-1
y=-1/4x+8