System of equations - high school - math problems
Number of problems found: 359
- Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
- Three ints
The sum of three consecutive integers is 2016. What numbers are they?
- Arithmetic progression
In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
- Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
- Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
- Divide 8
Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z
Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax2+bx+c)
- Two resistors
Two resistors when they give 25 ohms in series and 4 ohms in parallel what the values of
- Father 7
Father is six times older than his son. After four years, the father will only be four times older. What are their present ages?
Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
- The tower
The observer sees the base of the tower 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands?
In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
Pooja and Deepa age is 4:5, 4 years back it was 8:11. What is the age of Pooja now?
- Rectangle Anton
Difference between length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle.
- Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
- Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company?
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