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3 years ago

Write the quadratic equation in standard form: 7x + 15 + x^2= -1

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

X^2+ 7x + 16 =0 I think this will be the answer.

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I JUST NEED HELP PLEASE!! AHH!!~∆~

mafiozo [28]

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=5/13

sin theta=0.38

theta=sin 23

therefore the value of theta is 23 degree

8 0

2 years ago

Determine the midpoint between the two points x(4,-6) and y(-2,8)

ikadub [295]

Answer:

$p(a, b) = (1, 1)$

Step-by-step explanation:

Midpoint formula is

$p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$ ---------------(1)

Here

$(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)$

Substituting values in equation (1)

$p(a, b)=(\frac{4 - 2}{2}, \frac{-6 + 8}{2} )$

$p(a, b) = (1, 1)$

6 0

3 years ago

Which representation of a transformation on a coordinate grid does not preserve congruence?

Alex17521 [72]

Answer:

Step-by-step explanation:

Consider all options:

A. Transformation with the rule

$(x,y)\rightarrow (x,-y)$

is a reflection across the x-axis.

Reflection across the x-axis preserves the congruence.

B. Transformation with the rule

$(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)$

is a dilation with a scale factor of $\frac{7}{8}$ over the origin.

Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

$(x,y)\rightarrow (x+6,y-4)$

is a translation 6 units to the right and 4 units down.

Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

$(x,y)\rightarrow (y,-x)$

is a clockwise rotation by $90^{\circ}$ angle over the origin.

Clockwise rotation by $90^{\circ}$ angle over the origin preserves the congruence.

3 0

3 years ago

The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter

notsponge [240]

11.196 or 11.20 is the answer

3 0

3 years ago

What is the point-slope form of a line with slope 6 that contains the same point (1,2)

garri49 [273]

Step 1: Create an equation with a slope of 6
y=6x+b

Step 2: Substitute x and y by with the point (1,2) and solve the equation for b
y=6x+b
2=6(1)
2=6
2=6+b
b=-4

Step 3: Substitute -4 for b in the equation
y=6x+b
y=6x+(-4)
y=6x-4

The equation that has a slope of 6 and passes through the point (1,2) in point-slope form:
y=6x-4

3 0

3 years ago