Determine if 4,1 is a solution for the equation for the system of equations

zubka84 [21]

$\bf \begin{array}{ll} term&\stackrel{a(n-1)-3}{value}\\ \cline{1-2} a(1)&-6\\ a(2)&a(2-1)-3\\ &a(1)-3\\ &-6-3\\ &-9 \blacktriangleleft\\ a(3)&a(3-1)-3\\ &a(2)-3\\ &-9-3\\ &-12 \blacktriangleleft\\ a(4)&a(4-1)-3\\ &a(3)-3\\ &-15 \blacktriangleleft\\ a(5)&a(5-1)-3\\ &a(4)-3\\ &-18 \blacktriangleleft \end{array}$

7 0

3 years ago

What is the nearest half unit of 73

sukhopar [10]

Half of 73 is 36.5 and I think the nearest half would be 37

3 0

3 years ago

How do you measure angles like these?<br> pls help I have a test and I don't understand

earnstyle [38]

Answer:

120°

Step-by-step explanation:

To find angle BCD, we need to spot that the angle is on a straight line (ACD); angles on a straight line add up to 180°. This means we can find the missing angle by doing 180 - 60 which is 120°.

Hope this helps!

3 0

3 years ago

Read 2 more answers

I need help on this please

tresset_1 [31]

Answer:

The y-intercept is (0, 8)

The x-intercepts are (2, 0) and (4, 0)

The axis of symmetry is a vertical line at x = 3

The vertex is (3, -1)

The graph has a minimum value -1 at x = 3

The domain is {x: x ∈ R} ⇒ (-∞, ∞)

The range is {y: y ≥ -1} ⇒ [-1, ∞)

Step-by-step explanation:

By using the given figure

The figure represents a parabola (the graph of a quadratic function

∵ The parabola intersects the y-axis at point (0, 8)

∴ The y-intercept is (0, 8)

∵ The parabola intersects the x-axis at point (2, 0) and (4, 0)

∴ The x-intercepts are (2, 0) and (4, 0)

∵ The axis of symmetry of the parabola is a vertical line that passes

through the vertex of it

∵ The x-coordinate of the vertex point is 3

∴ The axis of symmetry is a vertical line at x = 3

∵ The vertex of the parabola is the lowest point on the graph

∵ The lowest point is (3, -1)

∴ The vertex is (3, -1)

∵ The vertex point of the graph is the lowest

∴ The graph has a minimum value -1 at x = 3

∵ The domain is all values of x belong to the parabola

∵ x could be any real number

∴ The domain is {x: x ∈ R} ⇒ (-∞, ∞)

∵ The range is all the values of y from the lowest point

∵ The y-coordinate of the lowest point is -1

∴ The range is {y: y ≥ -1} ⇒ [-1, ∞)

7 0

3 years ago

Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24

gladu [14]

Answer:

207 cm

Step-by-step explanation:

Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm

Perimeter of triangle PQR is

P(ΔPQR) = 36+48+24 = 108 cm

Because the triangles are are similar their sides are in proportion.

But how much bigger did the second triangle get?...is (92/48) times bigger

P(ΔSTU) = 180*(92/48) = 207 cm

...you can also use proportions to find each side and then find the perimeter

TU = 24*92 /48 = 46

TS = 36*92/48 = 69

SU = 92

P(ΔSTU) = 92+69+46 =207 cm

*the triangles are not drawn to scale

5 0

3 years ago