Let a1, a2 and a3 be as in (a). Let a4 =   1 4 −5  . Without doing any further calculations, find all values of t for which there will be a unique solutions to a1y1 + a2y2 + a3y3 + a4y4 = c for every vector c in R 3 . Explain your answer

Answer:

a) Upwards

b) x = -1

c) (-1,-9)

d) x intercepts; (2,0) and (-4,0)

y intercept is (0,-8)

Step-by-step explanation:

a) As we can see, the parabola faces upwards

b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts

The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry

c) The vertex represents the lowest point of the circle here,

As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola

We have the coordinates of this point as

(-1,-9)

d) The intercepts

The x-intercept are the two points in which the parabola crosses the x-axis

We have this point as 2 and -4

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

For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)

Answer:

y = 3/4x - 13

Step-by-step explanation:

As we already know the slope, we just need to find the y-intercept.

y = 3/4x +b

-7 = 3/4(8) + b

-7 = 6 + b

-13 = b

y = 3/4x - 13

Answer:

Hello

Step-by-step explanation:

Answer:

LES GOOO

Step-by-step explanation:

thx man

Answer:

4(5 + 6)

Step-by-step explanation:

Factor out the GCF (4):

20+24 = 4(5 + 6)

Answer:

There were 1 1/8 cups of condensed soup in the can.

Step-by-step explanation:

Cups of condensed soup = 2 3/8 - 1 2/8

Cups of condensed soup= 1 1/8 Cups

Answer:

True

Step-by-step explanation:

[tex]\frac{x - y }{x + y}=-1[/tex]        ---------------(I)

Cross multiply

x - y = -1*(x + y)

x - y = (-1)*x + y * (-1)

x - y = -x - y

x - y + x = - y

2x - y = -y

2x  = -y + y

2x = 0

x = 0

Plugin x = 0 in (I)

[tex]\frac{0-y}{0+ y} = -1\\\\\frac{-y}{y}=-1\\\\-1 = -1[/tex]

So , true

Step-by-step explanation:

This is true. -1 =-1

Answer:

top left

Step-by-step explanation:

Answer:

y = x² + 5

Step-by-step explanation:

When x = 1:

y = x² + 5

y = 1² + 5

y = 6

When x = 2:

y = x² + 5

y = 2² + 5

y = 9

When x = 3:

y = x² + 5

y = 3² + 5

y = 14

Answer:

The scale factor is 8.

Segment AC is congruent to segment FD, and the other 2 sides are congruent because this is an isosceles triangle.

Triangle ABC can transform to Triangle DEF after a scale factor (multiplying each side by the same value) of 8.

Hope this helps!

Answer:

No. The answer is 72

Step-by-step explanation:

As 12x6=72

Answer:

− 3 x + 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2x-1)-(x-7)

removing bracktes

-2x-1-x+7

-3x+6

Answer:

a 2/5

Step-by-step explanation:

have a good day /night may i please have a branlliest

Answer:

2/5

Step-by-step explanation:

-5y = -2z +9

5y = 2z -9

y = 2/5z -9/5

Answer:

essentially the fourth option is the best

Answer:

option 3

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

The sizes of all the sides are different!

Answer:

False

Step-by-step explanation:

[tex]V=bhw\\V=7.5*13*2\\V=195[/tex]

(y2-y1)/(x2-x1)

19-10=9

6-3=3

9/3=3

slope: 3

y-int: 1

y=3x+1

Answer:

the answer is 83 degrees

Step-by-step explanation:

most angles that connect diagonally are vertically opposite angles. hope it helps have a great day and can i get brainliest

Answer: 1346.2 Milimeters

Step-by-step explanation:

4ft 5in = 53in

53x25.4= 1346.2

Answer:

G 1,452.00

Step-by-step explanation:

يريدون منك استخدام النقاط لتساعد نفسك في رسم صورة المكعبات. هذا ليس سؤالًا حقًا يمكن لأي شخص مساعدتك في الإجابة عليه حيث عليك فقط رسم الصورة. النقاط هي فقط للمساعدة في جعل الأمر أسهل من مجرد الرسم باليد.

Answer:

A) $7,833.32

Step-by-step explanation:

Given data

Principal= $4,571

Rate=3%

n= 6

Time = 18 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 4571(1+0.03/6)^6*18

A= 4571(1+0.03/6)^6*18

A= 4571(1+0.005)^6*18

A= 4571(1.005)^6*18

A= 4571(1.005)^108

A=4571*1.7136

A=$7832.86

Hence the approximate amount is A) $7,833.32

Answer:

C

Step-by-step explanation

An easy way to figure is to see if all of the numbers in that group can be divided by 6.

In this first one, 9 and 15 are not divisible by 6.

In the second one 6, 12 are multiples ok 6 but there is one more.

In the last one 24 is over the 20 limit.

So, C is correct.

Answer:

[tex]18\sqrt{3}[/tex]

Step-by-step explanation:

Please see the attached image

I'm assuming you've already learned the special properties of a 30-60-90 triangle.

By drawing a 30-60-90 triangle by constructing line BC, and using the special proportions that come from it, we can find that

AB=AC/2=36/2=18

and

BC=AB*[tex]\sqrt{3}[/tex]=[tex]18\sqrt{3}[/tex]

Answer:

x = 5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3/4+3/4=6/4=1 2/4=1 1/2

C is located halfway between 1 and 2, so you know it is 1 1/2.

A fraction is a way to describe a part of a whole.  The number on the number line is represented by point C.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

To plot the fraction on the number line, the sum of the number line is needed to be found. Therefore, the sum of the number line can be written as,

[tex]\rm Sum = \dfrac34 + \dfrac34 = \dfrac64[/tex]

Thus, the sum of the fraction is (6/4), which can also be written as 1.50.

The number on the number line is represented by point C.

Learn more about Fraction:

https://brainly.com/question/1301963

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