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1 year ago

Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?

Mathematics

1 answer:

irga5000 [103]1 year ago

3 0

QUESTION :> WHATS STATEMENT IS TRUE ?

ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE 

 2 > (9 — 7).

HOPE IT HELPS 

<h2>#CARY ON LEARNING</h2>

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

Slope:

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

Slope:

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

N triangle ABC (see sketch), AD is the angle bisector of the angle A and BH is the height from side AC. The obtuse angle between

Alex Ar [27]

Answer: C

Step-by-step explanation:

We know that $\angle AHB=90^{\circ}$ , and thus by the exterior angle theorem,

$90^{\circ}+\alpha=4\alpha\\\\90=3\alpha\\\\\alpha=30^{\circ}$

Thus, $\angle CAB=2\theta=\boxed{60^{\circ}}$

8 0

2 years ago

Graph from liner standard form 3x+2y=12?

insens350 [35]

Answer:

See picture below.

6 0

2 years ago

Read 2 more answers

The expresssion is also equivalent to the cost of the item? c-0.25 c which expression is also equivalent to the cost of the item

MArishka [77]

Answer:

0.75c

Step-by-step explanation:

If we have an expression as:

a*x + b*x

We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:

a*x + b*x = (a + b)*x

If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:

2*4 + 3*4 = (2 + 3)*4

8 + 12 = (5)*4

20 = 20

Therefore, if we have the following expression:

c - 0.25*c

The expression that is equivalent is 0.75c and it is calculated as:

c - 0.25*c = (1 - 0.25)*c

c - 0.25*c = 0.75*c

8 0

2 years ago

Alvin is 15 years younger than Elga. The sum of their ages is 49. What is Elga's age?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

Suppose Alvin is x years old. Then Elga is x+15 years old.

x+x+15=49

2x=34

x=17

17+15=32

7 0

3 years ago