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2 years ago

How many solutions does this system have?

Mathematics

2 answers:

ladessa [460]2 years ago

5 0

Answer:

One

Step-by-step explanation:

The solution to the system is (1, 5)

solniwko [45]2 years ago

4 0

Answer:

one

Step-by-step explanation:

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During gym class, Lenny, Lonnie, and Lainey measure the length of their long jumps. Lenny’s jump is ⅔ times the length of Lainey

Svetllana [295]

Answer: Lonnie’s Jump

Step-by-step explanation:

(They just had to give three names that all started with L.)

Since Lenny's jump is ⅔ times the length of Lainey’s, we can tell that Lenny's jump won't be the longest because it is already smaller than Lainey's.

Since Lenny is now out of the picture, let us look at Lonnie and Lainey. Lonnie’s jump is 1 ⅓ times the length of Lainey’s. Since Lonnie's jump is longer than Laniey's, Lonnie's jump is the longest jump.

3 0

2 years ago

Given QT = SR, QV = SU, and the diagram, prove that triangles QUT and SVR are congruent. Write a paragraph proof.

QveST [7]

Answer:

Triangles QUT and SVR are congruent because the defining two sides and an included angle of triangles QUT and SVR are equal

Step-by-step explanation:

Here we have QT = SR and

QV = SU

Therefore,

QT = √(UT² + QU²)........(1)

RS = √(VS² + RV²)..........(2)

Since QS = QU + SU = QV + VS ∴ QU = VS

Therefore, since SR = QT and QU = VS, then from (1) and (2), we have UT = RV

Hence since we know all sides of the triangles QUT and SVR are equal and we know that the angle in between two congruent sides of the the triangles QUT and SVR that is the angle in between sides QU and UT for triangle QUT and the angle in between the sides RV and VS in triangle SVR are both equal to 90°, therefore triangles QUT and SVR are congruent.

5 0

2 years ago

A sample poll of 100 voters were chosen from a given district

Julli [10]

Answer:

5y345

Step-by-step explanation:

i did it before

6 0

2 years ago

Solve the given equation by completing the square.

Dmitriy789 [7]

Answer:

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

$x^{2} +8x = 38$

Add 16 to both sides.

$x^{2} +8x+16 = 38 + 16$

$(x+4)^{2} =54$

$x + 4 = \sqrt{54}$ or $x + 4 = -\sqrt{54}$

$x+4=3\sqrt{6}$ or $x+4=-3\sqrt{6}$

$x=-4+3\sqrt{6}$ or $x=-4-3\sqrt{6}$

Therefore, a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

6 0

3 years ago

Read 2 more answers

In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A

AURORKA [14]

Answer:

$A = \dfrac{C^2}{4\pi}$

Step-by-step explanation:

Given that

Area of a circle $A=\pi r^2$

Circumference of the circle $C = 2 \pi r$

Let us re-write the equation of area of circle:

$A=\pi r^2$

$A = \pi \times r \times r$

Multiplying and dividing with 2:

$A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}$

Hence, A in terms of C can be represented as:

$A = \dfrac{C^2}{4\pi}$

4 0

3 years ago

How many solutions does this system have?​

How many solutions does this system have?