Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
You need to substitute the given values into the ac/b equation. After substitization and simplification, the equation ac/b simplifies to √2.
The equation that we need to evaluate is ac/b, using the variables a, b, and c given in the question. So, substituting the given values, we get:
a * c / b = √a * √10 / √5
Since a is equal to √a, we can replace a with √a in the equation, so it then becomes:
√a * √10 / √5 = √(a*10) / √5
Since a is √a, a*10 is therefore √10, so the equation becomes:
√10 / √5
That simplifies to √2 in its simplest form.
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b. are equal
c. are negative reciprocals
d. sum to 1
The slopes of two perpendicular lines are negative reciprocals.
Two lines are considered perpendicular if their slopes are negative reciprocals of each other. This means that if the slope of one line is m, then the slope of the perpendicular line will be -1/m.
For example, if the slope of one line is 2, then the slope of the perpendicular line will be -1/2.
Hence, the slopes of perpendicular lines do not sum to 0, are not equal, and do not sum to 1.
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Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
Answer:
[-5,-4] , [-1, 1]
Step-by-step explanation:
A graph is increasing when the slope of any segment of a line in the graph is positive.
In this case, the slope is positive through the intervals of [-5,-4] and [-1, 1]
Hope this answered your question!
B75°
C70°
D65°
The correct option is C.
Angle Sum of a Quadrilateral For any quadrilateral, we can draw a diagonal line to divide it into two triangles. Each triangle has an angle sum of 180 degrees. Therefore the total angle sum of the quadrilateral is 360 degrees.
The sum of angle around a point equal 360°
so (BOA) = 360-250=110°
and the sum of angle in the shape CAOB = 360°
so BCA = 360-(110+90+90)= 70°
Angles in a quadrilateral add to 360° because two triangles can be made inside any quadrilateral by drawing straight lines from one corner to the other corners. Each triangle contains 180° and so, two triangles contain 360°.
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The fraction 7/8 x 4/5 is equivalent to 7/10 when simplified.
Given that are two fractions 7/8 and 4/5 we need to find their product.
To calculate the expression 7/8 x 4/5, you need to multiply the two fractions together.
Here's the step-by-step explanation:
Step 1: Multiply the numerators (top numbers) together:
7 x 4 = 28
Step 2: Multiply the denominators (bottom numbers) together:
8 x 5 = 40
Step 3: Write the result as a new fraction:
28/40
Step 4: Simplify the fraction (if possible) by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD:
GCD(28, 40) = 4
Divide both numerator and denominator by 4:
28 ÷ 4 = 7
40 ÷ 4 = 10
So, the final answer is 7/10.
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