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2 years ago

Find the point of intersection of the lines: y = 4x + 1 and y = – 2x + 4 A. (2 , 9) B. ( 1 2, 3 ) C. (1 , 2) D. ( 1 4, 2)

Mathematics

1 answer:

alekssr [168]2 years ago

3 0

Answer:

B. (1/2, 3)

Step-by-step explanation:

It is perhaps easiest to try the point values in the equations.

A — 4·2+1 = 9; -2·2 +4 ≠9 . . . . not the answer

B — 4·1/2 +1 = 3; -2·(1/2) +4 = 3 . . . . this is the answer

we need go no further since we have the answer

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what is the simplified form of the following expression? Assume x is greater than or equal to 0 and y is greater than or equal t

yarga [219]

the given expression is :

2(4√16x) - 2(4√2y) + 34√81x - 4(4√32y)

⇒ 8(√16x) - 8(√2y) + 34√81x - 16√32y

⇒8×4√x - 8√2y + 34×9√x - 16√16×2y [∵ √16 = 4 and √81 = 9]

⇒32√x - 8√2y + 306√x - 16×4√2y

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2 years ago

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In the diagram of circle A, what is the measure of ∠XYZ? 35° 70° 75° 140°

Mademuasel [1]

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Measure of arc WZ = 175°

Measure of ∠XAZ = 105°

We need to find the measure of ∠XYZ.

As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.

$\frac{175^\circ+\angle XYZ}{2}=105^\circ\\\\175^\circ+\angle XYZ=210^\circ\\\\\angle XYZ=210^\circ-175^\circ\\\\\angle XYZ=35^\circ$

Hence, the value of ∠XYZ is 35°.

Hence, First Option is correct.

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2 years ago

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Solve for x 3x−91>−87 OR 21x−17>25

klasskru [66]

Answer:

x > 4/3

Step-by-step explanation:

The first inequality can be solved this way ...

3x -91 > -87

3x > 4 . . . . . . . add 91

x > 4/3 . . . . . . divide by 3

The second inequality has solution ...

21x -17 > 25

21x > 42 . . . . . . add 17

x > 2 . . . . . . . . . divide by 21

The solution set is the union of these overlapping solutions, so will be equal to the first solution:

x > 4/3

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2 years ago

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Write the rational number as a decimal. −18/5

Angelina_Jolie [31]

Answer:

-3.6

Step-by-step explanation:

When plugged into a calculator, the answer turns out to be -3.6, which is a decimal.

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2 years ago

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A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)

butalik [34]

Answer:

$|SU|=\sqrt{13}$

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

$|RT|=\sqrt{(8-1)^2+(5--1)^2}$

$|RT|=\sqrt{(7)^2+(6)^2}$

$|RT|=\sqrt{49+36}$

$|RT|=\sqrt{85}$

For the diagonal S(6,1) U(3,3)

$|SU|=\sqrt{(6-3)^2+(5-3)^2}$

$|SU|=\sqrt{(3)^2+(2)^2}$

$|SU|=\sqrt{9+4}$

$|SU|=\sqrt{13}$

Therefore the shorter diagonal is:

$|SU|=\sqrt{13}$

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