Answer:
Area of the rhombus ABCD = 16 square units
Step-by-step explanation:
Area of a rhombus = 
From the graph attached,
Diagonal 1 = Distance between the points A and C
Diagonal 2 = Distance between the points B and D
Length of a segment between (x₁, y₁) and (x₂, y₂) = 
Diagonal 1 (AC) = 
= 4 units
Diagonal 2(BD) = 
= 8 units
Now area of the rhombus ABCD = 
= 
= 16 units²
Therefore, area of the given rhombus is 16 units².
Answer:
$6,900
Step-by-step explanation:
Let
x = Amount Monica should earn each month
Rent per month = $2,300
Monica knows that she should spend no more than 1/3 of her income on her rent
1/3 of her Income = rent
1/3 of x = 2,300
1/3x = 2,300
x = 2,300 ÷ 1/3
x = 2,300 * 3/1
x = $6,900
Monica should earn $6,900 each month to afford the rent on her cool new place
<u><em>Answer: =-7.5+20y</em></u>
Step-by-step explanation:
distributive property: a(b+c)=ab+ac
a=-2.5, b=3, c=8y
-2.5*3-(-2.5)*8y
3(-2.5)-8(-2.5)y
simplify by equation.
3(-2.5)-8(-2.5)y=-7.5+20y
=-7.5+20y
Hope this helps!
Thanks!
Have a great day!
Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) isy=(1/3)*x+15Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line
y=(1/3)*x+15then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) isthe point does not belong to the given line
see the attached figure
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = ( - 
, 
) and r = 
, thus
(x - (- ))² + (y - )² = ( )², that is
(x + )² + (y - )² = 
→ D
