Answer:
The value of x in centimeters is 22.5 cm
Step-by-step explanation:
The corresponding sides of the similar triangles are proportion which means have equal ratios
∵ Δ ABC is similar to Δ FGH
∵ AB and FG are corresponding sides
∵ BC and GH are corresponding sides
∵ AC and FH are corresponding sides
→ That means the ratios between them are equal
∴ 
= 
= 
∵ AB = 6 cm and FG = 15 cm
∵ BC = 5 cm and GH = 12.5 cm
∵ AC = 9 cm and FH = x
→ Substitute them in the rule above to find x
∴ 
= 
= 
→ By using cross multiplication with the 1st and 3rd ratios
∵ 6 × x = 15 × 9
∴ 6x = 135
→ Divide both sides by 6 to find x
∵ 
= 
∴ x = 22.5 cm
∴ The value of x in centimeters is 22.5 cm
Answer:
y = 1/4x -10
Step-by-step explanation:
The equation would be y = 1/4x -10
we know that we have to set the equation up as y=mx+b
m being slope and b being y-intercept
we can see on the graph that the line intercepts the y-axis at -10, so that would be b
for slope, you can just look and count rise over run so:
it goes 10 up and 40 over which equals 10/40 also known as 1/4
hope that helped :)
Answer:
0
Step-by-step explanation:
It is been considered that Discriminant is calculated by the following formula:
D = b*b - 4 * a * c
In order to simplify the calculations we can divide all the numbers by 2 and we will have the same quadratic equation:
-x^2 -4x+4=0
and as usual quadratic equation is presented as the following:
ax^2 - bx + c = 0
so in our case a = -1; b = -4; c = 4;
Then D = -4*4 -4*(-1) * 4 = -16+16 = 0
I am not quite understanding the following phrase:
"and what does it value mean about the number about the number"
but if the question was in regards of the following number '-2x^2' so number ^2 is actually the value of power so 'x' is multiplied on it is own and this equation basically means the following:
-2x^2 = -2 * (x) * (x)
Answer:
y < 106
Step-by-step explanation:
Step 1: Add 21 to both sides.
Therefore, the solution is y < 106.
To graph it on a graph:
- circle 106 on the graph- DO NOT FILL IN THE CIRCLE
- point the arrow to the left direction
Answer:
the decimal is 1.75 and The percentage is 175%
Step-by-step explanation:
